Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 25 - 27 of 80

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Question number: 25

» 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: 26

» 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: 27

» Quantum Mechanics » Wave-Function in Coordinate Representations

Appeared in Year: 2011

MCQ▾

Question

The wavefunction of a particle is given is given by Equation , where Equation and Equation are the normalized eigenfunctions with energies Equation and Equation corresponding to the ground state and first excited state, respectively. The expectation value of the Hamiltonian in state Equation is –

(June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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