I Solving SE for Particle in Box: Energy Level Relation

  • I
  • Thread starter Thread starter Yajee
  • Start date Start date
Yajee
Messages
3
Reaction score
1
I started learning Quantum mechanics(one dimension) a week ago and I came across solving the Schrodinger equation for a particle in a box with zero potential.I found out that there are only certain energy levels permissible for that particle. My query is if we take a large number of boxes with a particle in each, how will be the relation of number of boxes that have a given energy? Is that something governed by a law? Or does it depend on any physical condition? If so, what may it be?
 
Physics news on Phys.org
Hello Yayee, :welcome:

That would depend on whether there is any relationship between the boxes, I suppose. Can't think of anything physical.
 
  • Like
Likes Yajee
Okay, so if the boxes doesn't have any relationship, the relation(number of boxes having a given energy) can be arbitrary. Thank you!
 

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 'How strong is the justification for low probability extreme thermal fluctuations?'

I asked a question related to a table levitating but I am going to try to be specific about my question after one of the forum mentors stated I should make my question more specific (although I'm still not sure why one couldn't have asked if a table levitating is possible according to physics). Specifically, I am interested in knowing how much justification we have for an extreme low probability thermal fluctuation that results in a "miraculous" event compared to, say, a dice roll. Does a...
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 »

Similar threads

I Schrodinger equation for N particles in a box
Replies
3
Views
2K
I Can Two Particle-in-a-Box Systems Interact to Affect Entropy?
Replies
3
Views
2K
I Particle has certain energy levels in a potential well?
Replies
4
Views
1K
I Solving the Schrodinger Equation for a particle being measured
Replies
6
Views
1K
I For a particle on a sphere, is zero energy possible?
Replies
5
Views
4K
I Calculating the number of energy states using momentum space
4
Replies
153
Views
15K
I Solve the particle in a box problem using matrix mechanics?
Replies
41
Views
10K
I Quantum number and energy levels
Replies
2
Views
2K
Many Particle in a one dimensional box
Replies
5
Views
2K
I Bohr-Sommerfield quantization of motion
Replies
3
Views
1K

Hot Threads

Recent Insights

Back
Top