Quantum Mechanics-One, Two and Three-Dimensional Potential Problems (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1 - 3 of 19

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Question number: 1

» Quantum Mechanics » One, Two and Three-Dimensional Potential Problems

Appeared in Year: 2015

MCQ▾

Question

The average energy of a one dimensional quantum oscillator of frequency and in contact with a heat bath at temperature T is given by,

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 2

» Quantum Mechanics » One, Two and Three-Dimensional Potential Problems

Appeared in Year: 2015

Short Answer Question▾

Write in Short

The Pauli matrices for three spin particles are , respectively. The dimension of the Hilbert space required to define an operator is –

Question number: 3

» Quantum Mechanics » One, Two and Three-Dimensional Potential Problems

Appeared in Year: 2014

MCQ▾

Question

The ground state and the first excited state wave function of a one dimensional infinite potential well are and , respectively. When two spin – up electrons are placed in this potential, which one of the following with and denoting the position of the two electrons, correctly represents the space part of the ground state wave function of the system?

Choices

Choice (4) Response

a.

b.

c.

d.

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