Quantum MechanicsSpinStatistics Connection (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 5  7 of 12
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Question number: 5
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2011
Question
The Hamiltonian of an electron in a constant magnetic field is given by where is a positive constant and denotes the Pauli matrices. Let and be the unit matrix. Then the operator simplifies to – (June)
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Choice (4)  Response  

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Question number: 6
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2014
Question
The effective spin – spin interaction between the electron spin and the proton spin in the ground state of the Hydrogen atom is given by . As a result of this interaction the energy levels split by an amount – (December)
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Choice (4)  Response  

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Question number: 7
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2014
Question
Let, where are the Pauli matrices. If and are two arbitrary constant vectors in three dimensions, the commutator is equal to (in the following I is the identity matrix). (December)
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Choice (4)  Response  

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b. 


c. 


d. 

