Quantum Mechanics-Eigenvalue Problems (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 5 - 8 of 11

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Question number: 5

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2012

MCQ▾

Question

Let Equation denote the eigenfunctions of a Hamiltonian for a spherically symmetric potentialEquation . The wave function Equation is an eigenfunction only of – (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 6

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2014

MCQ▾

Question

The Hamiltonian Equation for a three – state quantum system is given by matrix, Equation . When perturbed by Equation where Equation , the resulting shift in the energy eigenvalue Equation is (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 7

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2013

MCQ▾

Question

If Equation is the eigenfunction of a one – dimensional Hamiltonian with eigenvalue Equation , the potential Equation (in units where Equation ) is – (Dec – 2013)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 8

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2013

MCQ▾

Question

A particle is prepared in a simultaneous eigenstate of Equation and Equation . If Equation and Equation are respectively the eigenvalues of Equation and Equation , then the expectation value Equation of the particle in this state satisfies – (December -2013)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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