Quantum Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 10 - 14 of 80

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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 in a one dimensional box of length L. The minimum excitation energy of the system, in units of 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.

b.

c.

d.

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 gives –

Choices

Choice (4) Response

a.

b.

0

c.

d.

Question number: 13

» Quantum Mechanics » Angular Momentum and Spin

Appeared in Year: 2015

Short Answer Question▾

Write in Short

Let the Hamiltonian for two spin particles of equal masses , momenta and and position and be

where and denote the corresponding Pauli matrices, and . If the ground state has net spin zero, then the energy (in ) is ________.

Question number: 14

» 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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