Quantum Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 8 - 12 of 77

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Question number: 8

» Quantum Mechanics » Harmonic Oscillator

Appeared in Year: 2014

Short Answer Question▾

Write in Short

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

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

Question number: 9

» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space

Appeared in Year: 2015

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 10

» Quantum Mechanics » Postulates of Quantum Mechanics

Appeared in Year: 2015

Short Answer Question▾

Write in Short

Consider a system of eight non – interacting, identical quantum particle of spin Equation in a one dimensional box of length L. The minimum excitation energy of the system, in units of Equation is ________

Question number: 11

» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space

Appeared in Year: 2016

MCQ▾

Question

Which of the following operators is Hermitian?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 12

» Quantum Mechanics » Angular Momentum and Spin

Appeared in Year: 2015

MCQ▾

Question

Let L and p be the angular and linear momentum operates, respectively for a particle. The commutator Equation gives –

Choices

Choice (4) Response

a.

Equation

b.

0

c.

Equation

d.

Equation

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