E7C.8(a) For the particle on a ring' system described in Exercise E7C.5(a) the expectation value of a quantity represented by the operator 2 is given by where y (0) are the normalized wavefunctions (0)=(1/2M)"" e™, with m, an integer. Compute the expectation value of the position, specified by the angle ø, for the case m; = +1, and then for the general case of integer m;. imo

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter4: Introduction To Quantum Mechanics
Section: Chapter Questions
Problem 61AP: A particle of mass m is placed in a three-dimensional rectangular box with edge lengths 2L, L, and...
icon
Related questions
Question

For the system described in Exercise E7C.8(a), evaluate the expectation value of the angular momentum represented by the operator
(ħ/i)d/dϕ for the case ml = +1, and then for the general case of integer ml.

E7C.8(a) For the particle on a ring' system described in Exercise E7C.5(a) the
expectation value of a quantity represented by the operator 2 is given by
where y (0) are the normalized wavefunctions (0)=(1/2M)"" e™, with
m, an integer. Compute the expectation value of the position, specified by the
angle ø, for the case m; = +1, and then for the general case of integer m;.
imo
Transcribed Image Text:E7C.8(a) For the particle on a ring' system described in Exercise E7C.5(a) the expectation value of a quantity represented by the operator 2 is given by where y (0) are the normalized wavefunctions (0)=(1/2M)"" e™, with m, an integer. Compute the expectation value of the position, specified by the angle ø, for the case m; = +1, and then for the general case of integer m;. imo
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Techniques and Applications of Quantum Theory
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Modern Chemistry
Principles of Modern Chemistry
Chemistry
ISBN:
9781305079113
Author:
David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:
Cengage Learning
Physical Chemistry
Physical Chemistry
Chemistry
ISBN:
9781133958437
Author:
Ball, David W. (david Warren), BAER, Tomas
Publisher:
Wadsworth Cengage Learning,
Introductory Chemistry: A Foundation
Introductory Chemistry: A Foundation
Chemistry
ISBN:
9781337399425
Author:
Steven S. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry: Principles and Practice
Chemistry: Principles and Practice
Chemistry
ISBN:
9780534420123
Author:
Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:
Cengage Learning
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning