Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 54 - 56 of 80

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Question number: 54

» Quantum Mechanics » Variational Method

Appeared in Year: 2013

MCQ▾

Question

The bound on the ground state energy of the Hamiltonian with an attractive delta – function potential, namelyEquation

Using the variational principle with the trial wavefunction Equation is –Equation (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 55

» Quantum Mechanics » Wave-Function in Momentum Representations

Appeared in Year: 2013

MCQ▾

Question

If Equation denotes the eigenfunction of the Hamiltonian with a potential Equation , then the expectation value of the operator Equation and Equation in the state Equation is – (June – 2013)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 56

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

Appeared in Year: 2013

MCQ▾

Question

The expectation value of the x – component of the orbital angular momentum Equation in the state, Equation

(Where Equation are the eigenfunction in usual notation), is – (December -2013)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

0

d.

Equation

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