The von Neumann Measurement Process: Explained and Explored

trosten
Messages
47
Reaction score
0
Could somebody please explain or give me a link to an explanation of the idea about measerument that von neumann put forward. That is that a system interacts with a pointer state associated with the measurering device with the hamiltonian

H:=c * d(t) * A (X) * P

where d(t) is diracs delta, (X) is the tensor product, A is an operator representing what we measure and P is a momentum operator acting on the pointer state.

I have some understanding of this but I have failed to find a detailed explanation anywhere on the internet, just some notes that von neumann thought of it in 1932. I really would like to see some examples etc.
 
Physics news on Phys.org
Did u try to look in his book...?I'm sure u won't find the book on the internet,only at the library.

Daniel.
 
no I haven't but I assume that its written in german ? von neumann sounds kind of german!
 
Your right, my local library actually has a new edition of it, published in 96! thanks for the tip.
 
Johann (then John) von Neumann was a Hungarian-born American professor...

Daniel.
 
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!

Similar threads

Back
Top