Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 54  57 of 80
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Question number: 54
» Quantum Mechanics » Variational Method
Appeared in Year: 2013
Question
The bound on the ground state energy of the Hamiltonian with an attractive delta – function potential, namely
Using the variational principle with the trial wavefunction is – (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 55
» Quantum Mechanics » WaveFunction in Momentum Representations
Appeared in Year: 2013
Question
If denotes the eigenfunction of the Hamiltonian with a potential , then the expectation value of the operator and in the state is – (June – 2013)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 56
» Quantum Mechanics » Motion in Central Potential » Addition of Angular Momenta
Appeared in Year: 2013
Question
The expectation value of the x – component of the orbital angular momentum in the state,
(Where are the eigenfunction in usual notation), is – (December 2013)
Choices
Choice (4)  Response  

a. 


b. 


c.  0 

d. 


Question number: 57
» Quantum Mechanics » Variational Method
Appeared in Year: 2012
Question
What would be the ground state energy of the Hamiltonian – If variational principle is used to estimate it with the trial wavefunction with b, as the variational parameter?
(December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

