GATE (Graduate Aptitude Test in Engineering) Physics: Questions 55  58 of 622
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Question number: 55
» Quantum Mechanics » One, Two and ThreeDimensional Potential Problems
Appeared in Year: 2015
Write in Short
The Pauli matrices for three spin particles are , respectively. The dimension of the Hilbert space required to define an operator is –
Question number: 56
» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space
Appeared in Year: 2016
Question
are the Pauli matrices. The expression is equal to –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 57
» Quantum Mechanics » Harmonic Oscillator
Appeared in Year: 2014
Write in Short
A one dimensional harmonic oscillator is in the superposition of number states, , given by
The average energy of the oscillator in the given state is .
Question number: 58
» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space
Appeared in Year: 2015
Question
An operator for a spin particle is given by , where denotes Pauli matrices and is a constant. The eigenvalue of are –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

