# De Broglie wavelength shift in gravitational fields

## Main Question or Discussion Point

Photons are blue-shifted as they accelerate in free-fall toward the earth. When an electron or positron is conceptualized as a wave using de Broglie's equation, are the de Broglie wavelengths of the electron or positron shortened (blue-shifted) as they accelerate toward the earth in free-fall? In other words do gravitational fields effect the quantum de broglie representation of matter-waves?

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## Answers and Replies

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atyy
Hossenfelder wrote a nice post about an experimental demonstration of neutron wavefunctions in gravity: http://backreaction.blogspot.com/2007/06/bouncing-neutrons-in-gravitational.html" [Broken].

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bcrowell
Staff Emeritus
Gold Member
Atyy didn't quite say so explicitly, but the answer to the OP's question is yes.

Hossenfelder wrote a nice post about an experimental demonstration of neutron wavefunctions in gravity: http://backreaction.blogspot.com/2007/06/bouncing-neutrons-in-gravitational.html" [Broken].
Thanks for the reference. I am reading it now and finding it fascinating. It will take time for me to absorb it.

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Atyy didn't quite say so explicitly, but the answer to the OP's question is yes.