Quantum Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 16 - 20 of 77

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Question number: 16

» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space

Appeared in Year: 2016

MCQ▾

Question

If Equation and Equation are the Equation components of the position and the momentum operators of a particle respectively, the commutator Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Passage

The wave function of a particle moving in free space is given by, Equation

Question number: 17 (1 of 2 Based on Passage) Show Passage

» Quantum Mechanics » Schrodinger Equation

Appeared in Year: 2012

MCQ▾

Question

The energy of the particle is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 18 (2 of 2 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.

Equation

b.

0

c.

1

d.

Equation

Question number: 19

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

Appeared in Year: 2012

MCQ▾

Question

A particle of mass Equation is confined in a two dimensional square well potential of dimension Equation . This potential Equation is given by,

Equation

The energy of the first excited state for this particle is given by,

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 20

» Quantum Mechanics » Time-Independent Perturbation Theory

Appeared in Year: 2012

MCQ▾

Question

Consider a system in the unperturbed state described by the Hamiltonian, Equation . The system is subjected to a perturbation of the form Equation where Equation . The energy eigenvalues of the perturbed system using the first order perturbation approximation are –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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