Quantum MechanicsSpinStatistics Connection (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1  4 of 12
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Question number: 1
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2013
Question
In a basis in which the z – component of the spin is diagonal, an electron is in a spin state,
The probability that a measurement of will yield the value and are, respectively,
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 2
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2013
Question
A spinparticle is in the state in the eigen basis and . If we measure, the probabilities of getting and , respectively, are (December)
Choices
Choice (4)  Response  

a.  0 and 1 

b. 


c. 


d. 


Question number: 3
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2012
Question
Consider a system of three spins S_{1}, S_{2} and S_{3} 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  

a.  –3J and 2 

b.  – 3J and 1 

c.  J and 1 

d.  – 6J and 2 

Question number: 4
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2014
Question
A collection N of non – interacting spins , is kept in an external magnetic field B at a temperature T. The Hamiltonian of the system is . What should be the minimum value of for which the mean value? (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

