# Relativistic Hamiltonian of Charged Particle Calculator

An energy function represented by a vector field on simple manifold is termed as the hamiltonian of a charged particle which can be calculated using this calculator based on the mass, speed of light, momentum, charge, vector potential, and electric potential.

## Calculate Relativistic Hamiltonian of Charged Particle

An energy function represented by a vector field on simple manifold is termed as the hamiltonian of a charged particle which can be calculated using this calculator based on the mass, speed of light, momentum, charge, vector potential, and electric potential.

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#### Formula:

H = [ (m_{o}^{2}c^{4}) + |p-eA|^{2} c^{2} ]^{1/2} + eΦ
**Where,**
H = Hamiltonian
p = Particle Momentum
e = Charge
A = Vector Potential
m_{o} = Mass
c = Speed of Light
Φ = Electric Potential