I was curious as to the form of the hamiltonian, whose energy eigenstate in the position basis is a gaussian distribution (or minimum uncertainty state, as ive heard from somewhere.) I haven't taken quantum for a few years, and remember studying the minimum uncertainty state as a wavefunction, without reference to its hamiltonian.(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

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 of Minimum Uncertainty State

**Physics Forums | Science Articles, Homework Help, Discussion**