The Pauli Principle and the Wavefunction of Two Particles in a Ring

  • Thread starter Thread starter Chemist20
  • Start date Start date
  • Tags Tags
    Particles Ring
Chemist20
Messages
80
Reaction score
0
Hello,
I have a question about two particles in a ring.

Okay, so as far as I know the wavefunction of a particle in a ring is cos(kθ) with k=0,1,2,3...

So, what is the wavefunction (total one) for the two particles? I am guessing it must be the multiplication of the two:
totalphi= cos(kθ1)*cos(kθ2) Yes?

I've been asked what special care is needed when writing down the total wavefunction and i don't know what to say. I am guessing that you just have to consider them together yes? Or maybe repulsions?

help!
 
Physics news on Phys.org
If there is an interaction between the particles, then indeed it will have to be accounted for.

I suspect however that the question was about the fact that care must be taken when dealing with identical particles to respect the Pauli principle.
 

Thread 'Schrödinger equation and classical wave equation'

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...
View full post »

Thread 'Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect'

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
View full post »

Thread 'Is Maxwell's electromagnetism an effective (field) theory?'

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...
View full post »

Similar threads

A Many-Particle Wavefunction Question
Replies
13
Views
2K
I Weakly interacting electrons in an atom
Replies
2
Views
2K
A Angular momentum uncertainty principle and the particle on a ring
Replies
5
Views
2K
I 2-particle Wavefunction and the Pauli Exclusion Principle
Replies
38
Views
4K
I Two particles: Entangled State vs Non interacting State
Replies
18
Views
3K
I How does the Pauli exclusion principle work?
Replies
2
Views
2K
I Pauli exclusion principle and Hermitian operators
Replies
15
Views
2K
I Two hydrogen atoms and Pauli's exclusion principle
Replies
17
Views
3K
I What's the significance of HUP if Ψ collapses?
Replies
1
Views
2K
Particle in Ring: Solving Standing Wave
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top