Quantum Mechanics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 8  12 of 77
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Question number: 8
» 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: 9
» 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. 


Question number: 10
» Quantum Mechanics » Postulates of Quantum Mechanics
Appeared in Year: 2015
Write in Short
Consider a system of eight non – interacting, identical quantum particle of spin in a one dimensional box of length L. The minimum excitation energy of the system, in units of is ________
Question number: 11
» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space
Appeared in Year: 2016
Question
Which of the following operators is Hermitian?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 12
» Quantum Mechanics » Angular Momentum and Spin
Appeared in Year: 2015
Question
Let L and p be the angular and linear momentum operates, respectively for a particle. The commutator gives –
Choices
Choice (4)  Response  

a. 


b.  0 

c. 


d. 

