Quantum MechanicsVariational Method (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1  5 of 11
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Question number: 1
» 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: 2
» Quantum Mechanics » Variational Method
Appeared in Year: 2012
Question
The wave function of a state of the hydrogen atom is given by,
Where, is the normalized eigen function of the state with quantum numbers n, l and m in the usual notation. The expectation value of is the state is – (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 3
» Quantum Mechanics » Variational Method
Appeared in Year: 2011
Question
If the perturbation , where is a constant; is added to the infinite square well potential
The first order correction to ground state energy is:  (June)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 4
» Quantum Mechanics » Variational Method
Appeared in Year: 2013
Question
A particle is in the ground state of an infinite square well potential given by,
The probability to find the particle in the interval between and is – (Dec 2013)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 5
» 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. 
