What Lies Beyond Wave Particle Duality in Quantum Mechanics?

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In the wave particle duality a photon for example propagates as a wave but exchanges momentum as a particle. This looks a lot like what happens to a particle in QM, it has a spread (a wave property) wave function but when it interacts this collapses to a localised narrow 'spike' (a particle property).

Is this what is meant with the wave particle duality, or is there more to it?
 
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he wave particle duality is like this but it simply says, sometimes its easier to talk about light as waves propagating through space and sometimes its easier tot talk about light as photons. Light is in fact both, according to duality, or as Bohr called it complementarity.
 
There is no difference between matter waves and photon waves. The duality is exactly the same.
 
Nenad said:
he wave particle duality is like this but it simply says, sometimes its easier to talk about light as waves propagating through space and sometimes its easier tot talk about light as photons. Light is in fact both, according to duality, or as Bohr called it complementarity.

I like to say that both particle and wave behaviours are incomplete descriptions of something more complicated than both of them. I just shows one "face" or another depending on the conditions. But neither particle nor wave are completele correct models of nothing, just a part of it.
 
Not an expert in QM. AFAIK, Schrödinger's equation is quite different from the classical wave equation. The former is an equation for the dynamics of the state of a (quantum?) system, the latter is an equation for the dynamics of a (classical) degree of freedom. As a matter of fact, Schrödinger's equation is first order in time derivatives, while the classical wave equation is second order. But, AFAIK, Schrödinger's equation is a wave equation; only its interpretation makes it non-classical...
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Is it possible, and fruitful, to use certain conceptual and technical tools from effective field theory (coarse-graining/integrating-out, power-counting, matching, RG) to think about the relationship between the fundamental (quantum) and the emergent (classical), both to account for the quasi-autonomy of the classical level and to quantify residual quantum corrections? By “emergent,” I mean the following: after integrating out fast/irrelevant quantum degrees of freedom (high-energy modes...

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