Quantum Mechanics-Time-Independent Perturbation Theory (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1 - 3 of 8

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Question number: 1

» Quantum Mechanics » Time-Independent Perturbation Theory

Appeared in Year: 2014

MCQ▾

Question

A particle is confined to a one dimensional potential box with the potential

If the particle is subjected to a perturbation, within the box, , where is a small constant, the first order correction to the ground state energy is –

Choices

Choice (4) Response

a.

0

b.

c.

d.

Question number: 2

» Quantum Mechanics » Time-Independent Perturbation Theory

Appeared in Year: 2012

MCQ▾

Question

Consider a system in the unperturbed state described by the Hamiltonian, . The system is subjected to a perturbation of the form where . The energy eigenvalues of the perturbed system using the first order perturbation approximation are –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 3

» Quantum Mechanics » Time-Independent Perturbation Theory

Appeared in Year: 2011

MCQ▾

Question

The normalized eigen states of a particle in a one – dimensional potential well

are given by, , where

The particle is subjected to a perturbation,

The shift in the ground state energy due to the perturbation, in the first order perturbation theory, is –

Choices

Choice (4) Response

a.

b.

c.

d.

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