Quantum Mechanics (GATE Physics): Questions 4 - 7 of 35

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Question number: 4

» Quantum Mechanics » Particle in a Box

Appeared in Year: 2015

MCQ▾

Question

A particle is confined in a box of length L as shown below,

A particle is in box

A Particle Is in Box

In figure a particle is confined in a box pf length L is shown.

If the potential V0 is treated as a perturbation, including the first order correction, the ground state energy is –

Choices

Choice (4) Response
a.

E=2π22mL2+V02

b.

E=2π22mL2V02

c.

E=2π22mL2+V0

d.

E=2π22mL2+V04

Question number: 5

» Quantum Mechanics » Addition of Angular Momenta

Appeared in Year: 2014

Short Answer Question▾

Write in Short

If L+ and L are the angular momentum ladder operators, then, the expectation value of (L+L+LL+) , in the state l=1,m=1 of an atom is _2 .

Question number: 6

» Quantum Mechanics » One, Two and Three-Dimensional Potential Problems

Appeared in Year: 2015

Short Answer Question▾

Write in Short

The Pauli matrices for three spin 12 particles are σ1,σ2andσ3 , respectively. The dimension of the Hilbert space required to define an operator O^=σ1σ2×σ3 is –

Question number: 7

» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space

Appeared in Year: 2016

MCQ▾

Question

σx,σyandσz are the Pauli matrices. The expression 2σxσy+σyσx is equal to –

Choices

Choice (4) Response
a.

iσz

b.

3iσz

c.

3iσz

d.

iσz

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