Quantum MechanicsSpinStatistics Connection (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 5  8 of 13
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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)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

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)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

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)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 8
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2013
Question
Consider three particles A, B and C each with an attribute S that can take two values Let and at a given instant. In the next instant, each S value can change to with probability . The probability that remains unchanged is – (June – 2013)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
