Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 31 - 33 of 80

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Question number: 31

» Quantum Mechanics » Wave-Function in Coordinate Representations

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 32

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2014

MCQ▾

Question

A collection N of non – interacting spins Equation , Equation Equation is kept in an external magnetic field B at a temperature T. The Hamiltonian of the system is Equation . What should be the minimum value ofEquation for which the mean valueEquation ? (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 33

» Quantum Mechanics » Variational Method

Appeared in Year: 2011

MCQ▾

Question

If the perturbationEquation , where Equation is a constant; is added to the infinite square well potential

Equation

The first order correction to ground state energy is: - (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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