Electromagnetic TheoryScalar and Vector Potentials (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 10  10 of 10
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Question number: 10
» Electromagnetic Theory » Scalar and Vector Potentials
Appeared in Year: 2011
Question
The Lagrangian of a particle of charge and mass m in applied electric and magnetic field is given by , where and are the vector and scalar potentials corresponding to the magnetic and electric fields, respectively. Which of the following statement is correct? (June)
Choices
Choice (4)  Response  

a.  Under a gauge transformation of the potentials, L changes by the total time derivative of a function of and . 

b.  The canonically conjugate momentum of the particle is given by 

c.  L remains unchanged under a gauge transformation of the potentials 

d.  The Hamiltonian of the particle is given by 
