Quantum Mechanics-Linear Vectors and Operators in Hilbert Space [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 1 - 6 of 10

Access detailed explanations (illustrated with images and videos) to 659 questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. Unlimited Access, Unlimited Time, on Unlimited Devices!

View Sample Explanation or View Features.

Rs. 450.00 -OR-

How to register? Already Subscribed?

Question 1

Appeared in Year: 2016

Question MCQ▾

are the Pauli matrices. The expression is equal to –

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 2

Appeared in Year: 2015

Question MCQ▾

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.

Edit

Question 3

Appeared in Year: 2016

Question MCQ▾

Which of the following operators is Hermitian?

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 4

Appeared in Year: 2016

Question MCQ▾

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.

Edit

Question 5

Appeared in Year: 2013

Question MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 6

Appeared in Year: 2013

Write in Short Short Answer▾

A spin – half particle is in a linear superposition of its spin – up and spin – down states. If and are the eigenstate of then what is the expectation value, up to one decimal place, of the operator ? Here, symbols have their usual meaning.

Edit