The Hamiltonian operator of a system is H=-(d2f/dx2) +x2 . Show that Nx exp (-x2/2) is an eigenfunction of H and determine the eigenvalue. Also evaluate N by normalization of the function.
The Hamiltonian operator of a system is H=-(d2f/dx2) +x2 . Show that Nx exp (-x2/2) is an eigenfunction of H and determine the eigenvalue. Also evaluate N by normalization of the function.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 17CM: Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]
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The Hamiltonian operator of a system is H=-(d2f/dx2) +x2 .
Show that Nx exp (-x2/2) is an eigenfunction of H and determine the eigenvalue. Also evaluate N by normalization of the function.
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