Quantum Mechanics-Linear Vectors and Operators in Hilbert Space (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1 - 5 of 10

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Question number: 1

» 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: 2

» 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.

Question number: 3

» 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: 4

» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space

Appeared in Year: 2016

MCQ▾

Question

If and are the components of the position and the momentum operators of a particle respectively, the commutator is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 5

» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space

Appeared in Year: 2013

MCQ▾

Question

Which one of the following commutation relation is NOT CORRECT? Here, symbols have their usual meanings.

Choices

Choice (4) Response

a.

b.

c.

d.

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