Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 18 - 21 of 71
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Question number: 18
» Quantum Mechanics » Spin-Statistics Connection
Appeared in Year: 2012
Question
Consider a system of three spins S1, S2 and S3 each of which can take values + 1 and –1. The energy of the system is given by , where J is a positive constant. The minimum energy and the corresponding number of spin configurations are, respectively – (December)
Choices
| Choice (4) | Response | |
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| a. | –3J and 2 |
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| b. | – 3J and 1 |
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| c. | J and 1 |
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| d. | – 6J and 2 |
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Question number: 19
» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle
Appeared in Year: 2012
Question
The commutator is – (June)
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Question number: 20
» Quantum Mechanics » Timeindependent Perturbation Theory and Applications
Appeared in Year: 2013
Question
The motion of a particle of mass m in one dimension is described by the Hamiltonian. What is the difference between the (quantized) energy of the first two levels? (In the following, is the expectation value of in the ground state. )
Choices
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Question number: 21
» Quantum Mechanics » Stern-Gerlach Experiment
Appeared in Year: 2012
Question
The component along an arbitrary direction, with direction cosines, of the spin of spin particle is measured. The result is – (June)
Choices
| Choice (4) | Response | |
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| c. | 0 |
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