Is the Heisenberg's picture really equivalent to Schrodinger's ?(adsbygoogle = window.adsbygoogle || []).push({});

It may seem so at a first glance & both produce the same results.But space & time are treated equally in Heisenberg's formulation : the operators are time dependent.In Schrodinger's formulation, states are time-dependent while the hamiltonian may be time-independent. This makes the former congruous & adaptable to relativity.

Also, the initial state vector remains fixed & operators move in Heisenberg's formulation. The initial state is not of so great a consequence as in Schrodinger's picture. Hence, it is more congruous with quantum field theory .(When particle creation & annihilation is involved, we can't work with a state vector in a Hilbert space).

I wonder how the two become totally compatible in the non-relativistic formulation.

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

Dismiss Notice

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!

# Heisenberg's & Schrodinger's Picture

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads - Heisenberg's Schrodinger's Picture | Date |
---|---|

I Two dimenstional Heisenberg Hamiltonian for spin 1/2 system | Tuesday at 2:16 PM |

I Schrodinger equation and Heisenberg equation of motion | Aug 13, 2017 |

Probability amplitude in Heisenberg e Schrodinger pictures | Jul 24, 2010 |

Heisenberg vs Schrodinger Picture | Jul 21, 2010 |

Heisenberg vs schrodinger picture | Jan 29, 2005 |

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