Quantum Mechanics (CSIR Physical Sciences): Questions 60 - 62 of 71

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Question number: 60

» Quantum Mechanics » Wave-Function in Coordinate Representations

Appeared in Year: 2012

MCQ▾

Question

The energy in the ground state and first excited state of a particle of mass Equation in a potential Equation are Equation and Equation , respectively, (in units in which Equation ). If the corresponding wave functions are related by Equation , then the ground state eigen function is – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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 Equation ? (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 62

» Quantum Mechanics » Variational Method

Appeared in Year: 2012

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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