High energies during wave function "collapse"?

[noahcharris]

Greetings,

I was wondering if anybody knew whether or not the moment of wavefunction measurement is always associated with a high energy. I know that we require smaller and smaller wavelengths of light to probe smaller distances, and since energy increases as wavelength decreases, I was wondering if we can even detect precise particle position without high energies being involved.

 

[Demystifier]

A measurement of position with a perfect precision would involve infinite momentum and infinite energy, as you suggested. But a realistic measurement is far from being perfect.