Physical Chemistry
Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 12, Problem 12.51E
Interpretation Introduction

Interpretation:

The variation theorem for the given wavefunction is to be proved. The value of E, by using ϕ as the trial wavefunction, is to be determined. The expression EE1 is to be stated by equaling E1 if ϕ is identically equal to Ψ1 and greater than E1 if ϕ is not identically equal to Ψ1.

Concept introduction:

Variation theory states that the average energy of any wavefunction for a given system is equal to or greater than its ground-state energy. It provides more accurate value of energy for a particular system. It is used to find the approximate solutions to the Schrödinger equation.

The Schrödinger equation is used to find the allowed energy levels for electronic transitions in the quantum mechanics. It is generally expressed as follows.

HΨ=EΨ

Where,

H is the Hamiltonian operator.

Ψ is the wavefunction.

E is the energy

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Chapter 12 Solutions

Physical Chemistry

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