Quantum Mechanics [CSIR (Council of Scientific & Industrial Research) Physical Sciences]: Questions 44 - 48 of 116

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Question 44

Appeared in Year: 2014

Question MCQ▾

The ground state eigenfunction for the potential , where is the delta function, is given by , where A and are constants. If a perturbation is applied, the first order correction to the energy of the ground state will be – (June – 2014)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 45

Appeared in Year: 2013

Question MCQ▾

If the operators A and B satisfy the commutation relation , where is identity operator, then – (June)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 46

Appeared in Year: 2013

Question MCQ▾

A particle is in the ground state of an infinite square well potential given by,

The probability to find the particle in the interval between and is – (Dec- 2013)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 47

Appeared in Year: 2013

Question MCQ▾

A perturbation is added to the Hydrogen atom potential. The shift in the energy level of 2P state, when the effects of spin are neglected up to second order in , is – (Dec. 2013)

Choices

Choice (4)Response

a.

b.

c.

d.

0

Edit

Question 48

Appeared in Year: 2013

Question MCQ▾

If is the eigenfunction of a one – dimensional Hamiltonian with eigenvalue , the potential (in units where ) is – (Dec – 2013)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit