Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 5  8 of 80
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Question number: 5
» Quantum Mechanics » Variational Method
Appeared in Year: 2014
Question
Let denote the eigenfunctions of a Hamiltonian for a spherically symmetric potential V (r). The expectation value of in the state is  (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 6
» Quantum Mechanics » Eigenvalue Problems
Appeared in Year: 2014
Question
A particle of mass m in the potential is in an eigenstate of energy. The corresponding unnormalized eigenfunction is – (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 7
» Quantum Mechanics » Dirac Notation for State Vectors
Appeared in Year: 2014
Question
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)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 8
» Quantum Mechanics » WaveFunction in Coordinate Representations
Appeared in Year: 2012
Question
If a particle is represented by the normalized wave function,
The uncertainty in its momentum is – (December)
Choices
Choice (4)  Response  

a. 


b.  5h2a 

c. 


d. 

