Quantum Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 4 - 7 of 77

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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 Equation 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 Equation is treated as a perturbation, including the first order correction, the ground state energy is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 5

» Quantum Mechanics » Addition of Angular Momenta

Appeared in Year: 2014

Short Answer Question▾

Write in Short

If Equation and Equation are the angular momentum ladder operators, then, the expectation value of Equation , in the state Equation of an atom is Equation .

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 Equation particles are Equation , respectively. The dimension of the Hilbert space required to define an operator Equation is –

Question number: 7

» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space

Appeared in Year: 2016

MCQ▾

Question

Equation are the Pauli matrices. The expression Equation is equal to –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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