Quantum Mechanics-Timeindependent Perturbation Theory and Applications (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 3 of 8

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Question number: 1

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2012

MCQ▾

Question

The energy eigen values of a particle in the potential Equation are – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 2

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2013

MCQ▾

Question

The motion of a particle of mass m in one dimension is described by the HamiltonianEquation . What is the difference between the (quantized) energy of the first two levels? (In the following, Equation is the expectation value of Equation in the ground state. )

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 3

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2011

MCQ▾

Question

The perturbationEquation , where Equation is a constant, is added to the one dimensional harmonic oscillator potential Equation . Which of the following denotes the correction to the ground state energy to first order in b?

Hint: The normalized ground state wave function of the one dimensional harmonic oscillator potential is Equation . You may use the following integral

Equation

(December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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