Quantum Mechanics-Linear Vectors and Operators in Hilbert Space [GATE (Graduate Aptitude Test in Engineering) Physics (PE)]: Questions 1 - 6 of 15
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Question 1
Appeared in Year: 2013
Question MCQ▾
Consider the normalized state of a particle in a one – dimensional harmonic oscillator:
Where and denoted the ground and first excited states respectively, and b1 and b2 are real constants. The expectation value of the displacement in the state will be a minimum when – (June)
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Question 2
Appeared in Year: 2014
Question MCQ▾
Let and denoted the normalized eigenstate of a particle with energy eigenvalue and respectively, with . At time the particle is prepared in a state . The shortest time T at which will be orthogonal to is – (December)
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Question 3
Appeared in Year: 2016
Question MCQ▾
are the Pauli matrices. The expression is equal to –
Choices
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Question 4
Appeared in Year: 2015
Question MCQ▾
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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Question 5
Appeared in Year: 2016
Question MCQ▾
Which of the following operators is Hermitian?
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Question 6
Appeared in Year: 2016
Question MCQ▾
If and are the components of the position and the momentum operators of a particle respectively, the commutator is –
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