Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 29  31 of 80
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Question number: 29
» Quantum Mechanics » Timeindependent Perturbation Theory and Applications
Appeared in Year: 2011
Question
The perturbation, where is a constant, is added to the one dimensional harmonic oscillator potential . Which of the following denotes the correction to the ground state energy to first order in b?
Hint: The normalized ground state wave function of the one dimensional harmonic oscillator potential is . You may use the following integral
(December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 30
» Quantum Mechanics » Motion in Central Potential » Addition of Angular Momenta
Appeared in Year: 2011
Question
The energy of the first excited quantum state of a particle in the two dimensional potential is – (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 31
» Quantum Mechanics » WaveFunction in Coordinate Representations
Appeared in Year: 2014
Question
Let (where and are constants with) be a linear combination of the wavefunction of the ground and first excited states of the one – dimensional harmonic oscillator. For what value of is the expectation value a maximum? (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

