Quantum Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 5 - 9 of 80

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Question number: 5

» Quantum Mechanics » Addition of Angular Momenta

Appeared in Year: 2014

Short Answer Question▾

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If and are the angular momentum ladder operators, then, the expectation value of , in the state of an atom is .

Question number: 6

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

Appeared in Year: 2015

Short Answer Question▾

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

Question number: 7

» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space

Appeared in Year: 2016

MCQ▾

Question

are the Pauli matrices. The expression is equal to –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 8

» Quantum Mechanics » Harmonic Oscillator

Appeared in Year: 2014

Short Answer Question▾

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A one dimensional harmonic oscillator is in the superposition of number states, , given by

The average energy of the oscillator in the given state is .

Question number: 9

» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space

Appeared in Year: 2015

MCQ▾

Question

An operator for a spin particle is given by , where denotes Pauli matrices and is a constant. The eigenvalue of are –

Choices

Choice (4) Response

a.

b.

c.

d.

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