Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 73  76 of 80
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Question number: 73
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2016
Question
The identity matrix and Pauli matrices do not form a group under matrix multiplication. The minimum number of matrices, which includes these four matrices, and form a group (under matrix multiplication) is: (December)
Choices
Choice (4)  Response  

a.  20 

b.  8 

c.  16 

d.  12 

Question number: 74
» Quantum Mechanics » Elementary Theory of Scattering » Born Approximation
Appeared in Year: 2016
Question
A particle is scattered by a central potential , where and are positive constants. If the momentum transfer is such that , the scattering cross – section in the Born approximation, as , depends on as:
[You may use: ] (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 75
» Quantum Mechanics » Commutators and Heisenberg Uncertainty Principle
Appeared in Year: 2016
Question
Consider the operator acting on smooth functions of . The commutator is: (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  0 

Question number: 76
» Quantum Mechanics » WaveFunction in Coordinate Representations
Appeared in Year: 2016
Question
A particle in one dimension is in a potential . Its wavefunction is continuous everywhere. The discontinuity in at is: (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

