CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 176  178 of 463
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Question number: 176
» Mathematical Methods of Physics » Vector Algebra and Vector Calculus
Appeared in Year: 2011
Question
Let and be two distinct three – dimensional vectors. Then the component of that is perpendicular to is given by,  (June)
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Question number: 177
» 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)
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Question number: 178
» 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)
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