The Rev Dodgson said:
Back in the days when we used to discuss science here it was often said that quantum wave/particle thingies travel as a wave, but interact as a particle.
That seems to me to be a very reasonable, and un-mysterious, way to look at wave-particle duality, providing a perfectly reasonable explanation for the supposed mysteries of quantum behavior.
But these days when reading discussions of these matters I never see it put that way.
Why is that?
Is there something wrong with that description of quantum wave/particles?
We’re all about Quantum Field Theory now, Quantum Mechanics is old hat.
The following text was wrangled together by me and ChatGPT, as I was having trouble typing a reply to your question on my own Rev.
All mistakes contained therein are solely C-GPT’s fault :).
Also, I wouldn’t really say I have a good understanding of this myself, so it may be that my prompting to GPT has led to an answer that is totally off base and worthy of ridicule. I present it mostly to give you an idea of areas you might follow up in to help answer your questions.
In Quantum Mechanics (QM), wave-particle duality is primarily described through the wave function, which is a mathematical object that characterizes the probability distribution of a particle’s properties, such as position or momentum. The wave function evolves according to the Schrödinger equation, and it exhibits wave-like behavior, such as interference and diffraction.
In QM, particles are treated as point-like entities that can be described by wave functions, which can be superposed (combined) to exhibit interference effects. The wave function provides information about the probability of finding the particle in different states when a measurement is made. However, QM does not explicitly address the underlying structure or origin of particles.
On the other hand, Quantum Field Theory (QFT) extends the framework of QM to incorporate fields. In QFT, particles are viewed as excitations or quanta of underlying quantum fields. These fields permeate all of space and time and are described by mathematical equations known as field equations, such as the Klein-Gordon equation or the Dirac equation.
In QFT, the concept of wave-particle duality is manifested in the interaction between particles and fields. The fields can be quantized, meaning they can be broken down into discrete quanta or excitations, which correspond to particles. These particles are treated as entities that can propagate through space and interact with other particles through their associated fields.
The mathematical formalism of QFT allows for the description of both particles and their interactions in a unified manner. It incorporates principles of quantum mechanics and special relativity, enabling the treatment of particles and fields in a relativistically consistent way.
In summary, while both QM and QFT address wave-particle duality, QM focuses on the probabilistic behavior of particles described by wave functions, while QFT incorporates fields as the fundamental entities and treats particles as excitations or quanta of these fields. QFT provides a more comprehensive framework for describing particles and their interactions, incorporating both quantum mechanics and the principles of special relativity.