Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 77 - 79 of 80

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 463 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 300.00 or

Question number: 77

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2016

MCQ▾

Question

Consider the two lowest normalised energy eigenfunction and of a one-dimensional system. They satisfy and , where is a real constant. The expectation value of the momentum operator in the state is: (December)

Choices

Choice (4) Response

a.

0

b.

c.

d.

Question number: 78

» Quantum Mechanics » Eigenvalue Problems

Appeared in Year: 2016

MCQ▾

Question

Consider the operator , where is the momentum operator, is the vector potential and denotes the electric charge. If denotes the magnetic field, the component of the vector operator is: (December)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 79

» Quantum Mechanics » Variational Method

Appeared in Year: 2016

MCQ▾

Question

Let and be the lowering and raising operators of a simple harmonic oscillator in units where the mass, angular frequency and have been set to unity. If is the ground state of the oscillator and is a complex constant, the expectation value of in the state , is: (December)

Choices

Choice (4) Response

a.

b.

c.

d.

f Page
Sign In