Quantum Mechanics-Postulates of Quantum Mechanics (GATE Physics): Questions 1 - 3 of 3

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Question number: 1

» Quantum Mechanics » Postulates of Quantum Mechanics

Appeared in Year: 2015

Short Answer Question▾

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Consider a system of eight non – interacting, identical quantum particle of spin 32 in a one dimensional box of length L. The minimum excitation energy of the system, in units of π222mL2 is ________

Passage

The wave function of a particle moving in free space is given by, ψ=eikx+2eikx

Question number: 2 (1 of 1 Based on Passage) Show Passage

» Quantum Mechanics » Postulates of Quantum Mechanics

Appeared in Year: 2012

MCQ▾

Question

The probability current density for the real part of the wavefunction is –

Choices

Choice (4) Response
a.

km

b.

0

c.

1

d.

k2m

Question number: 3

» Quantum Mechanics » Postulates of Quantum Mechanics

Appeared in Year: 2012

MCQ▾

Question

Consider the wavefunction Ψ=ψ(r1,r2)χS for a ferromagnetic system consisting of two spin – half particles. The spatial part of the wavefunction is given by –

ψ(r1,r2)=12[ϕ1(r1)ϕ2(r2)+ϕ2(r1)ϕ1(r2)];

Where, ϕ1 and ϕ2 are single particle states.

The spin part of χs of the wavefunction with spin states α(+12) and β(12) should be –

Choices

Choice (4) Response
a.

12(αββα)

b.

ββ

c.

12(αβ+βα)

d.

αα

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