Quantum Mechanics-Time-Independent Perturbation Theory (GATE 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

Equation

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

Choices

Choice (4) Response

a.

0

b.

Equation

c.

Equation

d.

Equation

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, Equation . The system is subjected to a perturbation of the form Equation where Equation . The energy eigenvalues of the perturbed system using the first order perturbation approximation are –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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

Equation

are given by, Equation , where Equation

The particle is subjected to a perturbation,

Equation

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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