Let's consider a quantum particle in the following potential well: So if |x|>1/1 | – Vo if |x| < 1/ 1) Plot V(x) V(x) = 2) Let's consider E> 0. Write an expression for the wavefunctions as a function of x. What are the boundary conditions in this problem? Apply them and explain what can be determined from such equations.

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter6: Quantum Mechanics In One Dimension
Section: Chapter Questions
Problem 29P
icon
Related questions
Question
Let's consider a quantum particle in the following potential well:
[0 if [x] > //
-Vo if |x|</
1) Plot V(x)
V(x) =
2) Let's consider E > 0. Write an expression for the wavefunctions as a
function of x. What are the boundary conditions in this problem? Apply
them and explain what can be determined from such equations.
3) Let's consider - Vo < E < 0. Write an expression for the wavefunctions as
a function of x. What are the boundary conditions in this problem? Apply
them and express the amplitudes of the wavefunction in the well as a func-
tion of the amplitudes of the wavefunction when x > a/2.
Transcribed Image Text:Let's consider a quantum particle in the following potential well: [0 if [x] > // -Vo if |x|</ 1) Plot V(x) V(x) = 2) Let's consider E > 0. Write an expression for the wavefunctions as a function of x. What are the boundary conditions in this problem? Apply them and explain what can be determined from such equations. 3) Let's consider - Vo < E < 0. Write an expression for the wavefunctions as a function of x. What are the boundary conditions in this problem? Apply them and express the amplitudes of the wavefunction in the well as a func- tion of the amplitudes of the wavefunction when x > a/2.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Tunneling effect
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Modern Physics
Modern Physics
Physics
ISBN:
9781111794378
Author:
Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:
Cengage Learning