We know that < \phi | \psi >* = < \psi | \phi > where * denotes the complex conj.(adsbygoogle = window.adsbygoogle || []).push({});

so if \psi and \phi are ordinary real valued functions (as opposed to matrices or complex valued whatevers) can we also say:

< \phi | \psi > = < 1 |\phi \psi > = <\phi \psi | 1>

Or what if \phi = \psi, then above = < 1|\psi^2>=<\psi^2|1>

or if we have the position operator,R:

< \phi | R| \psi > = < 1 |R| \phi \psi > = < R| \phi \psi >= <\phi \psi | R > were we assume that the positions must be real because the (wave)functions are real valued.

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

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!

# A Little Trick for bra-ket notation over the Reals

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