# Quantum mechanics, eigenfunctions!

1,173 results

### Quantum mechanics, eigenvalues, eigenfunctions

What exactly is an eigenvalue? "To be an eigenfunction, the operator has to reproduce the function with some multiplicative constant." Is the eigenvalue the multiplicative constant -or- is it the m constant and the function? Many thanks.

### English

Over time, non-specialists are usually able to assimilate radically new scientific ideas, even though these ideas may seem strange when they are initially introduced. Such was the case with Newtonian physics; when Newton proposed his ideas regarding motion and gravitation in ...

### Quantum mechanics, eigenfunctions!

Determine if the function sin(x)*e^(ax) where a=constant is an eigenfunction of the operators d/dx and d^2/(dx)^2 Okay. My understanding is that you use the operator and perform its "thing" on the function. In this case, you will have to find the 1st derivative of sin(x)*e^(ax...

### critical thinking

Over time, non-specialists are usually able to assimilate radically new scientific ideas, even though these ideas may seem strange when they are initially introduced. Such was the case with Newtonian physics; when Newton proposed his ideas regarding motion and gravitation in ...

### CRT205 Quiz

Over time, non-specialists are usually able to assimilate radically new scientific ideas, even though these ideas may seem strange when they are initially introduced. Such was the case with Newtonian physics; when Newton proposed his ideas regarding motion and gravitation in ...

### Critical Thinking

Over time, non-specialists are usually able to assimilate radically new scientific ideas, even though these ideas may seem strange when they are initially introduced. Such was the case with Newtonian physics; when Newton proposed his ideas regarding motion and gravitation in ...

### Critical Thinking

Over time, non-specialists are usually able to assimilate radically new scientific ideas, even though these ideas may seem strange when they are initially introduced. Such was the case with Newtonian physics; when Newton proposed his ideas regarding motion and gravitation in ...

### Physics

Did Einstein support quantum mechanics as being fundamental physics, or did he think quantum mechanics was inconclusive?

### english: crit. thinking

Over time, non-specialists are usually able to assimilate radically new scientific ideas, even though these ideas may seem strange when they are initially introduced. Such was the case with Newtonian physics; when Newton proposed his ideas regarding motion and gravitation in ...

### ENGLISH

Over time, non-specialists are usually able to assimilate radically new scientific ideas, even though these ideas may seem strange when they are initially introduced. Such was the case with Newtonian physics; when Newton proposed his ideas regarding motion and gravitation in ...

### Quick Question

What is Quantum Physics and Quantum Mechanics? Is there even a difference between them? thank you very much.

### chemistry

which quantum number, or quantum numbers, can be connected with the direction a particular orbital position points in space, regarding wave mechanics?

### Physics

If the electron in a hydrogen atom obeyed classical mechanics instead of quantum mechanics, would it emit a continuous spectrum or a line spectrum?

### chemistry

Which of the following quantum numbers describes the shape of an orbital? A) principle quantum number (n) B) magnetic quantum number (ml) C) spin quantum number (ms) D) Schrodinger quantum number (S) E) (azithmal) angular momentum quantum number (l)

### Physics

When do we have to give up on an old theory and try to come up with a new theory? Would it be when the old theory under goes changes? Also, how would I compose my answer to this question into a paragraph? This happens when we suspect that the theory is not perfect. E.g., the ...

### chemistry

Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The four quantum numbers, the principal quantum number (n), the angular momentum quantum number (ℓ), the magnetic quantum number (mℓ), and the spin quantum ...

### Chemistry

The principal quantum number, n, describes the energy level of a particular orbital as a function of the distance from the center of the nucleus. Additional quantum numbers exist to quantify the other characteristics of the electron. The angular momentum quantum number...

### School

Over time, non-specialists are usually able to assimilate radically new scientific ideas, even though these ideas may seem strange when they are initially introduced. Such was the case with Newtonian physics; when Newton proposed his ideas regarding motion and gravitation in ...

### crt

Over time, non-specialists are usually able to assimilate radically new scientific ideas, even though these ideas may seem strange when they are initially introduced. Such was the case with Newtonian physics; when Newton proposed his ideas regarding motion and gravitation in ...

### crt 205

Over time, non-specialists are usually able to assimilate radically new scientific ideas, even though these ideas may seem strange when they are initially introduced. Such was the case with Newtonian physics; when Newton proposed his ideas regarding motion and gravitation in ...

### Critical Thinking

Over time, non-specialists are usually able to assimilate radically new scientific ideas, even though these ideas may seem strange when they are initially introduced. Such was the case with Newtonian physics; when Newton proposed his ideas regarding motion and gravitation in ...

### crt thinking

Over time, non-specialists are usually able to assimilate radically new scientific ideas, even though these ideas may seem strange when they are initially introduced. Such was the case with Newtonian physics; when Newton proposed his ideas regarding motion and gravitation in ...

### Newtonian physics

Over time, non-specialists are usually able to assimilate radically new scientific ideas, even though these ideas may seem strange when they are initially introduced. Such was the case with Newtonian physics; when Newton proposed his ideas regarding motion and gravitation in ...

### Quantum Mechanics

Calculate the probability of finding an electron in a 1s H-atom orbital inside the nucleus. Show your work and state your assumptions.

### quatum mechanics

In the double-slit experiment, consider the point at the middle of the final (detector) screen which is equidistant from the two slits. Suppose the intensity at that point is when either slit is open. Now for each of the three cases (a) bullet (b) wave (c) quantum mechanics (...

### Chemistry

The principal quantum number, n, describes the energy level of a particular orbital as a function of the distance from the center of the nucleus. Additional quantum numbers exist to quantify the other characteristics of the electron. The angular momentum quantum number (ℓ...

### Chem Help Please!!!

Using quantum mechanics as a basis, explain in detail why there are exactly 14 elements shown in the Lanthanide series of the periodic table. Thank you!

### chemistry

A 5d electron emits a photon, what are the possible quantum n,l, quantum numbers of the final s tate electron? What would the quantum num bers be a fter a photon with the smallest allowed (non-zero) energy is emitted?

### physics

It is known that the possible values for the magnetic quantum number m range between -9 and +9. Determine the orbital quantum number and the smallest possible value of the principle quantum number. l = n =

### Chemistry

An electron is in the 5f orbital. What are the values or sets of values for… a. The principle quantum number (n)? b. The angular momentum quantum number (l)? c. The magnetic quantum number (ml)?

### Quantum Physics

Consider the following quantum circuit: bit.ly/Zlrijv (a) What quantum state do you have to input in order to get output |00>? (b) What quantum state do you have to input in order to get output |11>? (c) What quantum state do you have to input in order to get output 1/&#...

### Physic please check

Consider two different hydrogen atoms. The electron in each atom is in an excited state. (a) Is it possible for the electrons to have different energies but the same orbital angular momentum L, according to the Bohr model? Justify. No.Electrons within the same obital angular ...

### Chemistry

Consider an atom of Xenon. How many electrons in this atom... a) have the quantum number of l=2 b) have the quantum number of ml=0 c)have the quantum numbers n=5,ml=2 (at the same time) I think I know the answers. a) 10 b)2 c)2 But I am unsure and would like some input on if ...

### Chemistry

1.how many total oribitals are present in quantum #1 2. How many electrons are possible in quantum level 1 3. How many total or initials are present in quantum level 3

### Quantum Mechanics

Suppose we have a quantum circuit that takes the input |0⟩ and outputs |+⟩, and also takes the input |1⟩ and outputs −|−⟩. If we input √2*i/√3|+⟩ + 1/√3|−⟩, what does the circuit output?

### chemistry

Find the quantum value of a 5py orbital. I know the quantum numbers (n,l,m,s) and all that, but I'm not sure where to begin or go after that. Answered below.

### Chemistry

Please help in any way that you can. Very small spherical crystals called quantum dots are being investigated for use in electronic devices. a. Calculate the mass of a quantum dot of pure silicon that has a diameter of 4nm. b. If you made a 3.5nm diameter quantum dot of pure ...

### mastering quantum mechanics

PART B (10 points possible) Consider the operator S on an n-dimensional complex vector space so that S(z1,z2,…,zn)=(0,z1,z2,…zn−1). Assume the inner product is the standard one: ⟨(x1,…,xn),(y1,…,yn)⟩=x∗1y1+…+x∗nyn. Calculate S†(w1,w2...

### quantum physics

the quantum factor algorithm for N=91 is carried out. What is the period k of the periodic superposition set up if it chooses x=8? Guys please help...its very urgent!!

### quantum mechanics

a) A vertically polarized photon goes through two polarizing filters, the first of which is vertically aligned and the second at 45 degrees. What is the probability that the photon is transmitted through both filters?

### chemistry

Which statement describes the principal quantum number (n)? A. The quantum number that indicates the subshell occupied by an electron B. The quantum number that indicates the energy level of the electron C. A subdivision of an energy level in an atom D. The probability of ...

### Chem

Determine all possible values of each quantum number (n, l, ml, and ms) for electrons in both the 2s and 2p subshells. for 2s the the quantum number would be -1/2,0,1/2 right?

### quantum mechanics

Write the Hamiltonian operator for 2 electrons in a 1D box of length a. I know that the Hamitonian is a sum of the kinetic and potential energies. I was thinking that for 2 electrons in a 1D box it would be: -2((hbar^2)/2m_e)(d^2/dx^2)) + Coulomb interaction for 2 electrons I ...

### chemistry

Suppose you take a trip to a distant universe and find that the periodic table there is derived from an arrangement of quantum numbers different from the one on Earth. The rules in that universe are: 1. principal quantum number n = 1, 2, . . . (as on Earth); 2. angular ...

### physics

A hydrogen atom is in its n = 6 excited state. Determine, according to quantum mechanics, each of the following: (a) The total energy =eV (b) The magnitude of the maximum angular momentum the electron can have in this state =J s (c) The maximum value that the z component of ...

### physics

A hydrogen atom is in its n = 6 excited state. Determine, according to quantum mechanics, each of the following: (a) The total energy =eV (b) The magnitude of the maximum angular momentum the electron can have in this state =J s (c) The maximum value that the z component of ...

### Quantum Physics

We will carry out some steps of the quantum factoring algorithm for N=91 (a) What is the period k of the periodic superposition set up by the quantum factoring algorithm if it chooses x=8? I.e. what is the period of f(j)=8j(mod91) (b) Using your answer to (a), find a ...

### Science

Which of the following is not a postulate of the kinetic molecular theory? A. The collisions between gas molecules are elastic. B. The energy of a gas molecule is determined by quantum mechanics. C. Gas molecules travel in random, straight paths. D. The absolute temperature of...

### chemistry

write all the possible set of magnetic quantum number for an electron in the n=2 shell that have an angular momentum number l=o and a spin quantum number +1/2

### physics

WHICH HAS PRINCIPAL QUANTUM NUMBER OF 3 AND ANGULAR MOMENTUM QUANTUM NUMBER OF 2 A 3s b 3d c 4f d 3f

### quantum mechanics

Suppose we have a qubit in the state |ψ⟩=12|0⟩+3√2|1⟩. If we measure this qubit in |u⟩=3√2|0⟩+12|1⟩,|u⊥⟩=−12|0⟩+3√2|1⟩ basis, what is the probability that the outcome is u

### mechanics/motion

Can someone help me with mechanics. I need to check my answers

### Science

The electron in a helium ion moves from a Bohr's orbit whose principal quantum number is 4 to another whose quantum number is 6.calculate the energy of transition in this process.

### chem

can someone give me examples of the explanatory power of the quantum-mechanical model? Power to explain what? The nature of the chemical bond? Linus Pauling wrote a book with that title. Bascially, QM can explain everything about chemistry such as structure, polarity, ...

### physics

Consider this set of quantum numbers: n = 3, l = 2, ml = -1, ms = +½ The maximum number of electrons in an atom which can share the above set of quantum numbers is

### Quantum Physics

I try to make a Quantum Fourier Transformation with N=6: w=e^(2*pi*7/6) so we have 6-th roots: 1,w,w^2,-1,-w,-w^2 My matrix is QFT6= 1/sqrt(6)* (1 1 1 1 1 1 ) (1 w w^2 -1 -w -w^2) (1 w^2 -w 1 w^2 -w ) (1 -1 1 -1 1 -1 ) (1 -w w^2 1 -w w^2 ) (1 -w^2 -w -1 w^2 w ) the vector that...

### physics

In the double-slit experiment, consider the point at the middle of the final (detector) screen which is equidistant from the two slits. Suppose the intensity at that point is when either slit is open. Now for each of the three cases (a) bullet (b) wave (c) quantum mechanics (...

### chemistry

how to find which is quantum number and magnetic quantum number

### Chemistry

What is the azimuthal quantum number (also called the angular-momentum quantum number), ℓ, for the orbital shown here? (the photo is a d orbital. it has 4 balls around it) Express your answer numerically as an integer.

### Quantum Physics

In this problem, we will carry out some steps of the quantum factoring algorithm for N = 15 (a) What is the period k of the periodic superposition set up by the quantum factoring algorithm if it chooses x = 2 ? (b) Assume that we found this k using period finding algorithm. ...

### Chemistry

find an atom which would have an electron with a quantum number of n=5, l=2, mL=0, mS=1/2 and a valence electron with a quantum number of n=6,l=1, mL=-1, mS=-1/2.

### Chemistry

Does anybody know the principle quantum number of an atom that has s, p, d, f orbitals? I'm pretty sure the number is inbetween 2-4, but I am unsure of how to figure out the principle quantum number just using that information. Thanks in advance!

### chemistry

how can i compare the dual nature of light how can i describe the phenomena that can be explained only by the particle model of light. how can i empoly the quantum theory to assess the amount of energy that matter gains and loses how did Einstein utilize Plancks quantum ...

### Chemistry:normal notation plz help

Using the normal notation of quantum number find the element which has the following value of quantum number n=3 l=2 m=2 s=+1/2 (a):potassuim (b):nitrogen (c):sodium (d):scandium

### Chem

For two spin-paired electrons that are in the same orbital, describe how the values for the first three quantum numbers (n, L, and mL) are related for the two electrons. Is this because no other electron has the same quantum number?

### Chemistry

A possible set of quantum numbers for the last electron added to complete an atom of potassium in its ground state is a) n=4, l=0, ml=0, ms= -1/2 b) n=3, l=1, ml=0, ms= -1/2 c) n=4, l=1, ml=0, ms= +1/2 d) n=3, l=1, ml=1, ms= +1/2 e) n=4, l=2, ml=1, ms= +1/2 I want to say the ...

### Quantum Computing

In this problem, we will carry out some steps of the quantum factoring algorithm for N=21. (a) What is the period k of the periodic superposition set up by the quantum factoring algorithm if it chooses x=2? In other words, what is the period of f(j)=2^j (mod 21). (b) Assume ...

### Calculus

Use newtons method and the function f(x)=x^2-a to derive the mechanics rule. Mechanics Rule for approaching sqrt(a), a>0, is Xn+1=1/2(Xn+a/Xn), n=1,2,3,...

### math

At the Whistlestop Cafe, 15 of the 19 patrons are mechanics. If a sample of 8 is taken, what is the probability that exactly 5 patrons are mechanics? Round your answer to 4 decimal places.

### math

At the Whistlestop Cafe, 15 of the 19 patrons are mechanics. If a sample of 8 is taken, what is the probability that exactly 5 patrons are mechanics? Round your answer to 4 decimal places.

### Fluid Mechanics

Hello Can someone can give me good links where i can find the: 1)domestic 2)industrial applications of fluid mechanics ? Tnx a lot.

### Physics

Consider the Bohr energy expression (Equation 30.13) as it applies to singly ionized helium He+ (Z = 2) and an ionized atom with Z=4 and only a single electron orbiting the nucleus. This expression predicts equal electron energies for these two species for certain values of ...

### Math

A car dealership employs 12 salesman and 28 mechanics. What is the ratio of salesman to mechanics?

### college

Determining the time quantum for a job is a critical task. Given the assumptions that the average switching time between processes is s, and the average amount of time an I/O bound process uses before generating an I/O request is t (t >> s). Discuss the effect of each of...

### physics

The hydrogen atom consists of a proton with an electron in orbit about the proton. The laws of quantum mechanics determine that the radius of this orbit is 5.29x10^-11 meters. Therefore, calculate a) The electric potential the electron experiences. b) The next available orbit ...

### Fluid Mechanics

I have a question in fluid mechanics...and i need to know the pressure in an air-filled drain? Is it the atmospheric pressure? Thanks in advance

### physics

Identify the area of physics that is most relevant to each of the following situations. Explain your reasoning. a. a high school football game b. food preperation for the prom c. playing in the school band d. lightning in a thunderstorm e. wearing a pair of sunglasses outside ...

### Chemistry

The term degeneracy means the number of different quantum states of an atom or molecule having the same energy. For example, the degeneracy of the n = 2 level of the hydrogen atom is 4 (a 2s quantum state, and three different 2p states). What is the degeneracy of the n = 1 level?

### Quantum Physics

Suppose Alice starts with two qubits in the Bell state 1/√2 (|00> + |11>) and teleports these qubits to Bob by applying the quantum teleportation protocol to each qubit separately. (a) What is the state of the two qubits received by Bob? |00> = |01> = |10>...

### physics

When an electron makes a transition from its first quantum level to the ground level, the energy difference is carried by the emitted photon. In comparison, how much energy is needed to return an electron at ground level to the first quantum level?

### Quantum Physics

Suppose Alice starts with two qubits in the Bell state (1/√2)|00⟩+(1/√2)|11⟩ and teleports these qubits to Bob by applying the quantum teleportation protocol to each qubit separately. (a) What is the state of the two qubits received by Bob?

### physics - quantum mechanics

hi can you please help me with this particular question? thanks a lot ___________________________________ The work function of a material refers to the minimum energy required to remove an electron from the material. Assume that the work function of gold is 4.90eV and that of ...

### physics

In this problem, we will carry out some steps of the quantum factoring algorithm for N=91. (a) What is the period k of the periodic superposition set up by the quantum factoring algorithm if it chooses x=8? I.e. what is the period of f(j)=8j(mod91) (b) Using your answer to (a...

### book report

im doing a book report in the 5th grade...and it said i have to give a summary, title,ect....and then it says slogan and mechanics..i don't know what slogan and mechanics mean....please help and give me a site to know what it means or tell me...thanks!!

### Chemistry

Very small crystals composed of 1000 to 100,000 atoms, called quantum dots, are being investigated for use in electronic devices. (a) Calculate the mass in grams of a quantum dot consisting of 1.400 104 atoms of silicon. (b) Assuming that the silicon in the dot has a density ...

### Chemistry

24. A quantum is a finite amount of energy gained or lost by an atom.- F? 25. An atom is in an excited state when it has its lowest energy.- F 26. The Bohr model of the atom shows electrons in areas called energy levels.- F? 27. The principal quantum number indicates the main ...

### physics

1.A spherical bowl(R = 20 cm) contains water(n = 1.33) and your pet gold fish who, is swimming 15 cm from the centre of the bowl. You however are 35.0 cm from the edge of the bowl-outside, of course. Describe the image your fish sees. 2.The hydrogen atom consists of a proton ...

### chemistry

Suppose you live in a different universe where different amount of quantum numbers is required to describe the atomic orbitals. These quantum numbers have the following rules: N principal 1,2,3,…. L orbital =N M magnetic -1. 0. +1 How many orbitals are there all together in ...

### physical science

Which electron cannot occurr? a) 1s^22s^1 b) 1s^2 2s^2 2p^6 3s^2 c) 1s^2 1p^6 2s^2 2p^6 d) all can occurr How do I figure this out? s orbitals can contain 2 electrons maximum and p orbitals can contain 6. I do not see this condition being violated in any of the configurations ...

### Chemistry (Check)

Q: Identify all that is incorrect about the set of four quantum numbers and explain why. {-3, 2, 1, 1/2} A. -3 because there can't be a negative orbital. Q: Identify all that is incorrect about the set of four quantum numbers and explain why. { 3, 2, 1/2, 1/2} A. m(l) = 1/2 ...

### physics

n this problem, we will carry out some steps of the quantum factoring algorithm for N=15. (a) What is the period k of the periodic superposition set up by the quantum factoring algorithm if it chooses x=2? (b) Assume that we found this k using period finding algorithm. Use k ...

### Chemistry

In an alternate universe, electron energies in an atom are found to obey the following equation where n is the principle quantum number: E = 3.0 x 10^(-19) J * nm * (1/n^2) ..where n is the principle quantum number A gas discharge lamp, like the lamps used in lab, contains ...

### Chemistry

In an alternate universe, electron energies in an atom are found to obey the following equation where n is the principle quantum number: E = 3.0 x 10^(-19) J * nm * (1/n^2) ..where n is the principle quantum number A gas discharge lamp, like the lamps used in lab, contains ...

### English

1. There are a lot of clubs in my school. 2. There are a lot of clubs in our school. (Are both correct? Can we use 'our' instead of 'in'?) 3. I study a lot of subjects like mechanics, ethics, and social studies. 4. I study a lot of subjects such as mechanics, ethics, and ...

### science

Newton’s law of gravity is used with great success in most everyday situations, and indeed, in planning planetary space missions such as the Rosetta probe. However, Einstein’s theory of general relativity and a theory of quantum gravity are needed to describe the observed ...

### physics

A monochromatic light beam with energy 204eV is used to excite the Be+3 (H –like atom with Z=4) from its ground state to some excited state m. Neglect the finite nuclear mass correction. a) Find the quantum number m of this excited state. b) Following this transition the...

### Quantum physics

Suppose we have a quantum circuit that takes the input |0> and outputs |+>, and also takes the input |1> and outputs −|−>. If we input √2*i/√3|+> + 1√3|−>, what does the circuit output? In the form a│0> + b│1...

### Quantum Physics

What is ZX applied to H|0>?

### Math.

Define quantum