Quantum Mechanics-Spin-Statistics Connection (CSIR Physical Sciences): Questions 5 - 6 of 11

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Question number: 5

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2011

MCQ▾

Question

The Hamiltonian of an electron in a constant magnetic field B is given by H=μσB where μ is a positive constant and σ=(σ1,σ2,σ3) denotes the Pauli matrices. Let ω=μB and I be the 2×2 unit matrix. Then the operator eiHt simplifies to – (June)

Choices

Choice (4) Response

a.

Icosωt+iσBBsinωt

b.

Isin2ωt+iσBBcos2ωt

c.

Icosωt2+iσBBsinωt2

d.

Isinωt+iσBBcosωt

Question number: 6

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2014

MCQ▾

Question

The effective spin – spin interaction between the electron spin Se and the proton spin Sp in the ground state of the Hydrogen atom is given by H=aSeSP . As a result of this interaction the energy levels split by an amount – (December)

Choices

Choice (4) Response

a.

32a2

b.

12a2

c.

2a2

d.

a2

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