Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 63 - 65 of 80

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Question number: 63

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2011

MCQ▾

Question

A constant perturbation as shown in the figure below acts on a particle of mass Equation confined in an infinite potential well between 0 and L.

A constant perturbation is given

A Constant Perturbation Is Given

Above figure gives a constant perturbation acts on a particle confined in an infinite potential well between 0 and L.

The first – order correction to the ground state energy of the particle is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 64

» Quantum Mechanics » Variational Method

MCQ▾

Question

Let Equation and Equation denote the normalized eigenstate corresponding to the ground and first excited state of a one dimensional harmonic oscillator. The uncertainty Equation in the state Equation is:

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 65

» Quantum Mechanics » Variational Method

Appeared in Year: 2011

MCQ▾

Question

The wave function of the particle at time Equation is given by Equation , where Equation and Equation are the normalized eigen states with eigen values Equation and Equation respectively, Equation . The shortest time after which Equation will become orthogonal to Equation is – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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