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1. Since velocity is relative to the reference frame, would the de Broglie Wavelength varies from one observer to another?
2. What will happen if the matter is stationary?
2. What will happen if the matter is stationary?
If one would apply the principles of special relativity onto QM, YES !1. Since velocity is relative to the reference frame, would the de Broglie Wavelength varies from one observer to another?
Stationary with respect to what frame ?2. What will happen if the matter is stationary?
The de broglie wavelength is a property of a single particle (corresponding to a single energy eigenstate) while a density function describes a group of particles (ie the corresponding wavefunction is a superposition (or tensor product like a Fock space) of single particle wavefunctions which in themselves can contain multiple energy eigenstates if they are non stationary and thus exhibit a spread in their momentum or "deBroglie wavefunction"). So, no straightforeward relation, IMO.What is the meaning of De Broglie Wavelength in the view of the newer probability concept of Probability Density Function?