Let be one of the normalized eigenfunctions of a Hamiltonianoperator H. Let V be an approximation of . What conditions must besatisfied by V, so thatis necessarily satisfied.

The equation given is:Where: is one of the normalized eigenfunctions of the Hamiltonian operator .…

Let operator Ĥ. Let be one of the normalized eigenfunctions of a Hamiltonian be an approximation of . What conditions must be satisfied by V, so that is necessarily satisfied. (V|ĤI V) ≤ (ÿ ĤIV)

Let operator Ĥ. Let be one of the normalized eigenfunctions of a Hamiltonian be an approximation of . What conditions must be satisfied by V, so that is necessarily satisfied. (V|ĤI V) ≤ (ÿ ĤIV)

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter11: Quantum Mechanics: Model Systems And The Hydrogen Atom

Section: Chapter Questions

Problem 11.17E

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Let be one of the normalized eigenfunctions of a Hamiltonian
operator H. Let V be an approximation of . What conditions must be
satisfied by V, so that
is necessarily satisfied.

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