Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 29 - 31 of 80

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Question number: 29

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2011

MCQ▾

Question

The perturbation, where is a constant, is added to the one dimensional harmonic oscillator potential . 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 . You may use the following integral

(December)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 30

» Quantum Mechanics » Motion in Central Potential » Addition of Angular Momenta

Appeared in Year: 2011

MCQ▾

Question

The energy of the first excited quantum state of a particle in the two dimensional potential is – (December)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 31

» Quantum Mechanics » Wave-Function in Coordinate Representations

Appeared in Year: 2014

MCQ▾

Question

Let (where and are constants with) be a linear combination of the wavefunction of the ground and first excited states of the one – dimensional harmonic oscillator. For what value of is the expectation value a maximum? (December)

Choices

Choice (4) Response

a.

b.

c.

d.

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