Suppose that ψ1 and ψ2 satisfy the time independent Schrödinger equation for some potential. Which of the following necessarily also satisfies the Schrödinger equation? Cψ1ψ∗2 aψ1+bψ2 Aψ1/ψ2 Cψ1ψ2 In accorda
Suppose a particle has wavefunction ψ(x,t=0)=Aexp(−x22l2). What is the average value (expectation value) of p^, ⟨p^⟩, for this state at t=0?
The variance σ2X=⟨(X^−⟨X^⟩)2⟩ of an operator, X^, is a measure of how large a range its possible values are spread over (the standard deviation is given by σ=σ2−−√). Suppose that |X⟩ is an eigenstate of ...
What is the probability current density of a particle with wavefunction ψ(x,t)=exp(iℏ(px−Et))?
Suppose we have a particle in 1-dimension, with wavefunction Ae−|x|2d. What is the probability to find the particle in the interval [0,d]? Please provide your answer in terms of A, d, mathematical constants such as π (entered as pi) or e (entered as e). (Assume that...
The ground state wavefunction for a particle in a shallow potential well in 1 dimension is of the form: Ae−|x|2d. Given that the particle must be found somewhere in the range x∈[−∞,∞], the born rule then places a constraint on the modulus of A. As...
Recall how the Schrödinger equation was motivated by the non-relativistic dispersion relation E=p22m. If we follow the same procedure for the case of a relativistic dispersion relation (E2=p2c2+m2c4), what equation do we arrive at? (For simplicity consider the one-dimensi...
We are standing at a distance d=15 m away from a house. The house wall is h=6 m high and the roof has an inclination angle β=30 ∘. We throw a stone with initial speed v0=20 m/s at an angle α= 35 ∘. The gravitational acceleration is g=10 m/s2. (See figure)...
To Reiny, math helper
can you look at my post, its just 4 math terms I need to figure out, please help
very EASY Math terms Defintions
OMG THANK YOU !!!!! :):):):):)