Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 60  62 of 80
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Question number: 60
» Quantum Mechanics » WaveFunction in Coordinate Representations
Appeared in Year: 2012
Question
The energy in the ground state and first excited state of a particle of mass in a potential are and , respectively, (in units in which ). If the corresponding wave functions are related by , then the ground state eigen function is – (December)
Choices
Choice (4)  Response  

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b. 


c. 


d. 


Question number: 61
» Quantum Mechanics » Eigenvalue Problems
Appeared in Year: 2012
Question
Which of the following is a self – adjoint operator in the spherical polar coordinate system ? (June)
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Choice (4)  Response  

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Question number: 62
» Quantum Mechanics » Variational Method
Appeared in Year: 2012
Question
A variational calculation is done with the normalized trial wavefunction for the one dimensional potential well , the ground state energy is estimated to be, (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

