The wavelength of a particle of momentum p is calculated using De Broglie relation. The de Broglie relation was postulated for what is called a matter waves. Now according to the statistical interpretation of QM we know that there is no matter waves. It is an abstract wave called the wave function which describes the particle probabilistically.
1- Is de Broglie relation still valid although matter waves do not exist ? and why?
2- If the answer to 1 is affirmative then what is de Broglie wavelength of a particle that is localized in space? (because now the particle will not have sharp momentum, hence not a unique de Broglie wavelength.)
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