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. | ||
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. | ||
Question 3
Appeared in Year: 2016
Question MCQ▾
Which of the following operators is Hermitian?
Choices
| Choice (4) | Response | |
|---|---|---|
a. | ||
b. | ||
c. | ||
d. | ||
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. | ||
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. | ||
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