Quantum MechanicsLinear Vectors and Operators in Hilbert Space (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1  5 of 10
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Question number: 1
» 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: 2
» 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 –
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Choice (4)  Response  

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c. 


d. 


Question number: 3
» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space
Appeared in Year: 2016
Question
Which of the following operators is Hermitian?
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Choice (4)  Response  

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c. 


d. 


Question number: 4
» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space
Appeared in Year: 2016
Question
If and are the components of the position and the momentum operators of a particle respectively, the commutator is –
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Choice (4)  Response  

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Question number: 5
» Quantum Mechanics » Linear Vectors and Operators in Hilbert Space
Appeared in Year: 2013
Question
Which one of the following commutation relation is NOT CORRECT? Here, symbols have their usual meanings.
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Choice (4)  Response  

a. 


b. 


c. 


d. 

