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A particle of charge q, mass m and linear momentum $$\overrightarrow {\bf{p}} $$ enters an electromagnetic field of vector potential $$\overrightarrow {\bf{A}} $$ and scalar potential $$\phi .$$ The Hamiltonian of the particle is

A. $$\frac{{{p^2}}}{{2m}} + q\phi + \frac{{{A^2}}}{{2m}}$$

B. $$\frac{1}{{2m}}{\left( {\overrightarrow {\bf{p}} - \frac{q}{c}\overrightarrow {\bf{A}} } \right)^2} + q\phi $$

C. $$\frac{1}{{2m}}{\left( {\overrightarrow {\bf{p}} + \frac{q}{c}\overrightarrow {\bf{A}} } \right)^2} + \overrightarrow {\bf{p}} .\overrightarrow {\bf{A}} $$

D. $$\frac{{{p^2}}}{{2m}}q\phi - \overrightarrow {\bf{p}} .\overrightarrow {\bf{A}} $$

Answer: Option B

This Question Belongs to Engineering Physics >> Electromagnetic Theory

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A particle of charge q mass m and linear momentum overrightarrow...

A particle of charge q, mass m and linear momentum $$\overrightarrow {\bf{p}} $$ enters an electromagnetic field of vector potential $$\overrightarrow {\bf{A}} $$ and scalar potential $$\phi .$$ The Hamiltonian of the particle is

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