Quantum Mechanics-Variational Method (CSIR Physical Sciences): Questions 1 - 3 of 10

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Question number: 1

» Quantum Mechanics » Variational Method

Appeared in Year: 2014

MCQ▾

Question

Let Equation denote the eigenfunctions of a Hamiltonian for a spherically symmetric potential V (r). The expectation value of Equation in the state Equation is - (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 2

» Quantum Mechanics » Variational Method

Appeared in Year: 2012

MCQ▾

Question

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

Equation

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 3

» Quantum Mechanics » Variational Method

Appeared in Year: 2011

MCQ▾

Question

If the perturbation Equation , 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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