Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 17 - 20 of 80

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Question number: 17

» Quantum Mechanics » Variational Method

Appeared in Year: 2012

MCQ▾

Question

The wave function of a state of the hydrogen atom is given by,

Where, is the normalized eigen function of the state with quantum numbers n, l and m in the usual notation. The expectation value of is the state is – (December)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 18

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2012

MCQ▾

Question

Consider a system of three spins S1, S2 and S3 each of which can take values + 1 and –1. The energy of the system is given by , where J is a positive constant. The minimum energy and the corresponding number of spin configurations are, respectively – (December)

Choices

Choice (4) Response

a.

–3J and 2

b.

– 3J and 1

c.

J and 1

d.

– 6J and 2

Question number: 19

» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle

Appeared in Year: 2012

MCQ▾

Question

The commutator is – (June)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 20

» 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 Hamiltonian. What is the difference between the (quantized) energy of the first two levels? (In the following, is the expectation value of in the ground state. )

Choices

Choice (4) Response

a.

b.

c.

d.

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