GATE (Graduate Aptitude Test in Engineering) Physics: Questions 55 - 58 of 622

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Question number: 55

» 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: 56

» 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

Question number: 57

» Quantum Mechanics » Harmonic Oscillator

Appeared in Year: 2014

Short Answer Question▾

Write in Short

A one dimensional harmonic oscillator is in the superposition of number states, Equation , given by Equation

The average energy of the oscillator in the given state is Equation .

Question number: 58

» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space

Appeared in Year: 2015

MCQ▾

Question

An operator for a spin Equation particle is given by Equation , where Equation Equation denotes Pauli matrices and Equation is a constant. The eigenvalue of Equation are –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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