Quick question about notation for normalisation

tomothy
Messages
20
Reaction score
0
Just a quick question, I'm looking to express the normalisation condition formally mathematically, is this acceptable:

1=\int_R|\psi|^2 \ \mathrm{d}\tau

For a particle in 3 dimensional region R.
 
Physics news on Phys.org
Tau is rarely used to denote a volume integral, I think V or d^3r is a lot more standard. Tau is usually reserved for the proper time (or some characteristic time).
 
I think I've been using a textbook from about 18 years ago, so this could explain why. Thank you. (:
 
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

Replies
9
Views
2K
Replies
2
Views
1K
Replies
1
Views
2K
Replies
4
Views
2K
Replies
5
Views
2K
Replies
1
Views
1K
Replies
82
Views
10K
Replies
10
Views
2K
Back
Top