Quantum mechanics representations $x$, $p$, and not $(x,p)$?

Question

In Quantum Mechanics, generally speaking we work with space representation $\Psi(x)$ and/or the momentum representation $\Psi(p)$ of wavefunctions. Are there representations with mixing of $(x,p)$, i.e., is there any $\Psi(x,p)$ representation in Quantum Mechanics?

Would the Wigner phase space representation fit what you are after? — By Symmetry, Aug 07 '23 at 18:04
see Wigner quasi-distributions and the tag [tag:wigner-transform] on this site. — ZeroTheHero, Aug 07 '23 at 18:04
Does this answer your question? Is there a Schrödinger equation for phase space? — ZeroTheHero, Aug 07 '23 at 18:13

score 1 · Accepted Answer · answered Aug 07 '23 at 18:03

1

There is a representation/framework that includes both conjugate variables. It's called the Wigner Distribution and is a quasiprobability distribution. You may want to google it.

answered Aug 07 '23 at 18:03

JQK

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Quantum mechanics representations $x$, $p$, and not $(x,p)$?

1 Answers1