2. A particle of mass m moves in a region whose potential energy is V = V0. a) Show that the wave functions Y (x, t) = Asen (kx - wt) and 4 (x, t) = Acos (kx - wt) do not satisfy the time- independent Schrodinger equation. b) Show that P (x,1) = A[cos(kx – w1) + isen(kx – wt)] = Ae'(kx-o1) it does satisfy the time-independent Schrodinger equation, considering that: ħo = R +V 2m
2. A particle of mass m moves in a region whose potential energy is V = V0. a) Show that the wave functions Y (x, t) = Asen (kx - wt) and 4 (x, t) = Acos (kx - wt) do not satisfy the time- independent Schrodinger equation. b) Show that P (x,1) = A[cos(kx – w1) + isen(kx – wt)] = Ae'(kx-o1) it does satisfy the time-independent Schrodinger equation, considering that: ħo = R +V 2m
Related questions
Question
![2. A particle of mass m moves in a region whose potential energy is V = VO.
a) Show that the wave functions Y (x, t) = Asen (kx – wt) and W (x, t) = Acos (kx – wt) do not satisfy the time-
independent Schrodinger equation.
b) Show that ¥ (x,1) = A[cos(kx – wt) + isen(kx – wt)] = Ae'(kx-o1) it does satisfy the time-independent Schrodinger equation,
considering that:
ħo=
2m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65694bfc-e620-4a4d-a121-bcb6e5060fb0%2F906dbb2b-53cf-4d9b-9b68-503533beee75%2Fx7shs5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. A particle of mass m moves in a region whose potential energy is V = VO.
a) Show that the wave functions Y (x, t) = Asen (kx – wt) and W (x, t) = Acos (kx – wt) do not satisfy the time-
independent Schrodinger equation.
b) Show that ¥ (x,1) = A[cos(kx – wt) + isen(kx – wt)] = Ae'(kx-o1) it does satisfy the time-independent Schrodinger equation,
considering that:
ħo=
2m
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
