De Broglie wavelength shift in gravitational fields

[e2m2a]

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?

 

[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" .

 

[bcrowell]

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

 

[e2m2a]

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" .

Thanks for the reference. I am reading it now and finding it fascinating. It will take time for me to absorb it.

 

[e2m2a]

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

Thanks for the quick answer. I have wondered about this for some time.