4. (McQuarrie 8-4) Use a trial function of the form (x) = 1/(1+ ẞx²) to calculate the ground- state energy of a harmonic oscillator, treating ẞ as the adjustable parameter. The following integrals will save you a lot of tedious calculus: का 1 (0\Ĥſ\|0) = {x [(1 + Bx²). [% 1 H dx = (0|0) = = Lo₂ [u 1 (1 + ẞx²) 1 Th² 81/2 8μ пк 4/83/2 dx (1 + Bx2) (1 + Bx2) = πT 2/31/2

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
Question

Please answer this question! Make sure its handwritten(NOT TYPED) and legible!!

4. (McQuarrie 8-4) Use a trial function of the form (x) = 1/(1+ ẞx²) to calculate the ground-
state energy of a harmonic oscillator, treating ẞ as the adjustable parameter. The following
integrals will save you a lot of tedious calculus:
का
1
(0\Ĥſ\|0) = {x [(1 + Bx²).
[%
1
H
dx
=
(0|0) =
= Lo₂ [u
1
(1 + ẞx²)
1
Th² 81/2
8μ
пк
4/83/2
dx
(1
+ Bx2)
(1 + Bx2)
=
πT
2/31/2
Transcribed Image Text:4. (McQuarrie 8-4) Use a trial function of the form (x) = 1/(1+ ẞx²) to calculate the ground- state energy of a harmonic oscillator, treating ẞ as the adjustable parameter. The following integrals will save you a lot of tedious calculus: का 1 (0\Ĥſ\|0) = {x [(1 + Bx²). [% 1 H dx = (0|0) = = Lo₂ [u 1 (1 + ẞx²) 1 Th² 81/2 8μ пк 4/83/2 dx (1 + Bx2) (1 + Bx2) = πT 2/31/2
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY