Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 77  79 of 80
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Question number: 77
» Quantum Mechanics » Eigenvalue Problems
Appeared in Year: 2016
Question
Consider the two lowest normalised energy eigenfunction and of a onedimensional system. They satisfy and , where is a real constant. The expectation value of the momentum operator in the state is: (December)
Choices
Choice (4)  Response  

a.  0 

b. 


c. 


d. 


Question number: 78
» Quantum Mechanics » Eigenvalue Problems
Appeared in Year: 2016
Question
Consider the operator , where is the momentum operator, is the vector potential and denotes the electric charge. If denotes the magnetic field, the component of the vector operator is: (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 79
» Quantum Mechanics » Variational Method
Appeared in Year: 2016
Question
Let and be the lowering and raising operators of a simple harmonic oscillator in units where the mass, angular frequency and have been set to unity. If is the ground state of the oscillator and is a complex constant, the expectation value of in the state , is: (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

