I need some help with three multiple choice questions 1. Imagine a particle of e
ID: 3900628 • Letter: I
Question
I need some help with three multiple choice questions
1.
Imagine a particle of energy E in a square
well potential of depth V0:
The solution for SE in range x>a is
described by the following equation:
A)?(x)=Ae^(-Kx)+Be^(+Kx)
B)?(x)=Ae^(-Kx)
C)?(x)=Be^(+Kx)
D)?(x)=Ae^(ikx)+Be^(-ikx)
E)?(x)=Ae^(ikx)
(note: both A and B could be nonzero)
2.Consider a hermitian operator Q, and two wavefunctions A and B,
such that A=QB
Both wave functions are expressed as vectors in a complete orthonormal
basis of wave functions |e> and are denoted as |?> and |?>, respectively:
A=??|e> =|?> B=??|e> =|?>
In that case a matrix Q could be found that the following linear matrix
transformation is true: |?>=Q|?>
A) Always true
B) True only if basis |en> represents egenfunctions of Hamiltonian
C) It is not true
3. Assuming that ? is the solution for time independent Schr
Explanation / Answer
1. B) since it has to decay to zero as x-> infinity
2. B)
3. b) since a is the lower operator decrases i in energy