CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 266  268 of 463
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Question number: 266
» 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)
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Choice (4)  Response  

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Question number: 267
» Mathematical Methods of Physics » Fourier and Laplace Transforms
Appeared in Year: 2013
Question
The inverse Laplace transform of is – (June)
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Choice (4)  Response  

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Question number: 268
» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion
Appeared in Year: 2013
Question
Consider a particle of mass m attached to two identical springs each of length and spring constant (see the figure below). The equilibrium configuration is the one where the springs are unstretched. There are no other external forces on the system. If the particle is given a small displacement along the x – axis, which of the following describes the equation of motion for small oscillations?
(Dec 2013)
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Choice (4)  Response  

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c. 


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