I have a question regarding the Hamiltonian in a magnetic field.(adsbygoogle = window.adsbygoogle || []).push({});

First Hamiltonian with potential V is given by

Ho = (1/2m)*p^2 + V

but if a vector potential A is also present then

H1 = (1/2m)*(p+eA)^2 + V

there is a way to write H1 interm of Ho

H1 = exp(-ier.A) Ho exp(ier.A)

where r is position

and r.A is dot product of position and vector potential

Any one knows Why? are these both forms equal and how to convert one into another

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Hamiltonian In magnetic field

Loading...

Similar Threads for Hamiltonian magnetic field | Date |
---|---|

I Two dimenstional Heisenberg Hamiltonian for spin 1/2 system | Mar 20, 2018 |

A Hamiltonian in an electromagnetic field | Dec 3, 2017 |

How we can add magnetic field term in graphene nanoribbon Hamiltonian | Jun 13, 2015 |

Density Matrix for Spin 1/2 particle in a magnetic field | Nov 26, 2014 |

Hamiltonian of spin 1/2 in tangential magnetic field | May 27, 2010 |

**Physics Forums - The Fusion of Science and Community**