Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 61 - 64 of 80

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Question number: 61

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2012

MCQ▾

Question

Which of the following is a self – adjoint operator in the spherical polar coordinate system ? (June)

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Question number: 62

» Quantum Mechanics » Variational Method

Appeared in Year: 2012

MCQ▾

Question

A variational calculation is done with the normalized trial wavefunction for the one dimensional potential well , the ground state energy is estimated to be, (June)

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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 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 –

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Choice (4) Response

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Question number: 64

» Quantum Mechanics » Variational Method

MCQ▾

Question

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

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Choice (4) Response

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