Quantum Mechanics-Timeindependent Perturbation Theory and Applications (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 7 - 8 of 8

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Question number: 7

» 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: 8

» Quantum Mechanics » Timeindependent Perturbation Theory and Applications

Appeared in Year: 2012

MCQ▾

Question

Consider an electron in a box of length L with periodic boundary condition Equation . If the electron is in the Equation with energy Equation , what is the correction to its energy, to second order of perturbation theory, when it is subjected to weak periodic potential Equation , where Equation is an integral multiple of the Equation ? (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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