Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 61  64 of 80
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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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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)
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Question number: 63
» Quantum Mechanics » Timeindependent Perturbation Theory and Applications
Appeared in Year: 2011
Question
A constant perturbation as shown in the figure below acts on a particle of mass confined in an infinite potential well between 0 and L.
The first – order correction to the ground state energy of the particle is –
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Question number: 64
» Quantum Mechanics » Variational Method
Question
Let and denote the normalized eigenstate corresponding to the ground and first excited state of a one dimensional harmonic oscillator. The uncertainty in the state is:
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