I Math of Electron Double Slit Experiment

Ghost Quartz
Messages
8
Reaction score
4
I'm looking for a good derivation of the "wave" patterns in this experiment. I suppose that if wave-particle duality is an obsolete idea, there must be a derivation from quantum mechanics that gets close results.
Thanks in advance
 
Physics news on Phys.org
There was a thread recently called "Is wave-matter duality a proven theory" which involved a discussion about this, with some links.

That might be interesting.
 
  • Like
Likes vanhees71 and Ghost Quartz
How familiar are you with the description of diffraction in classical electrodynamics/optics? In nonrelativistic QT it's almost the same theory, based on the Helmholtz equation and the corresponding Green's function given the boundary conditions due to the slits.

An alternative also pretty intuitive way is the use of the path integral. This is nicely worked out in the book by Feynman and Hibbs.
 
  • Like
Likes Ghost Quartz and PeroK
the link posted by DrChinese is what I was looking for. Thank you, everyone!
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
Back
Top