Quantum Mechanics-One, Two and Three-Dimensional Potential Problems (GATE 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 Equation of a one dimensional quantum oscillator of frequency Equation and in contact with a heat bath at temperature T is given by,

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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 Equation particles are Equation , respectively. The dimension of the Hilbert space required to define an operator Equation 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 Equation and Equation , respectively. When two spin – up electrons are placed in this potential, which one of the following with Equation and Equation 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.

Equation

b.

Equation

c.

Equation

d.

Equation

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