Consider the motion of a point charge q in an electromagnetic field. Let E and B be the electric and magnetic fields, respectively, which can be derived from a scalar potential and a vector potential A Ē= -V6- aà Ət B = V XA Use the potential energy given by V(r) = 94 - 9(÷ F). a. What is the Hamiltonian? What is the Hamiltonian equation in vector form? Show your solution b.

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Consider the motion of a point charge q in an
electromagnetic field. Let Ē and 3 be the electric
and magnetic fields, respectively,
which can be
derived from
a scalar potential
and a vector
potential A
ƏÃ
Ē=-V6-
-
Ət
Use the potential energy given by
V(r) = 94 - 9(÷ F).
a.
What is the Hamiltonian?
b.
What is the Hamiltonian equation in vector
form? Show your solution
B = V X A
Transcribed Image Text:Consider the motion of a point charge q in an electromagnetic field. Let Ē and 3 be the electric and magnetic fields, respectively, which can be derived from a scalar potential and a vector potential A Əà Ē=-V6- - Ət Use the potential energy given by V(r) = 94 - 9(÷ F). a. What is the Hamiltonian? b. What is the Hamiltonian equation in vector form? Show your solution B = V X A
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