Quantum Mechanics-Eigenvalue Problems (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 9 - 11 of 11

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Question number: 9

» 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: 10

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2016

MCQ▾

Question

Consider the two lowest normalised energy eigenfunction Equation and Equation of a one-dimensional system. They satisfy Equation and Equation , where Equation is a real constant. The expectation value of the momentum operator in the state Equation is: (December)

Choices

Choice (4) Response

a.

0

b.

Equation

c.

Equation

d.

Equation

Question number: 11

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2016

MCQ▾

Question

Consider the operator Equation , where Equation is the momentum operator, Equation is the vector potential and Equation denotes the electric charge. If Equation denotes the magnetic field, the Equation component of the vector operator Equation is: (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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