Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 68  72 of 80
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Question number: 68
» Quantum Mechanics » Motion in Central Potential » Hydrogen Atom
Appeared in Year: 2011
Question
A particle in one dimension moves under the influence of a potential , where is a real constant. For large the quantized energy level depends on as: (June)
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Passage
In a system consisting of two spin particles labeled 1 and 2, let and denote the corresponding spin operators. Here, and are the three Pauli matrices. (June)
Question number: 69 (1 of 2 Based on Passage) Show Passage
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2011
Question
In the standard basis the matrices for the operators and respectively,
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Question number: 70 (2 of 2 Based on Passage) Show Passage
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2011
Question
These two operators satisfy the relation,
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Question number: 71
» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle
Appeared in Year: 2016
Question
If and are the components of the angular momentum operator in three dimensions, the commutator may be simplified to – (June)
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Question number: 72
» Quantum Mechanics » Schrodinger Equation » Time Dependent
Appeared in Year: 2016
Question
A particle of charge in one dimension is in a simple harmonic potential with angular frequency . It is subjected to a time – dependent electric field , where and are positive constants and . If in the distant past the particle was in its ground state, the probability that it will be in the first excited state as is proportional to: (December)
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