Quantum Mechanics of Rolling Balls: Learn More

Click For Summary

Discussion Overview

The discussion revolves around the quantum mechanics of rolling balls, specifically focusing on the conceptual and mathematical frameworks involved. Participants seek references and clarification on the topic, exploring both classical and quantum perspectives.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant requests references related to the quantum mechanics of rolling balls.
  • Another participant seeks clarification on the term "ball," indicating a lack of understanding of the initial query.
  • A third participant elaborates on the concept by describing a billiard ball of small mass rolling without slipping, mentioning the geometric complexities involved and providing a reference to a related paper.
  • A later reply specifies interest in articles that discuss quantum mechanics in the context of non-holonomic systems, citing a specific paper from 1951.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the initial question, as there is confusion regarding the definition of "ball" and the specific aspects of quantum mechanics being referenced. Multiple viewpoints and requests for clarification remain present.

Contextual Notes

The discussion highlights a dependence on definitions and the need for precision in terminology, particularly regarding the concept of a "ball" in the context of quantum mechanics.

silagadze
Messages
5
Reaction score
0
I'll appreciate references about quantum mechanics of the rolling ball.
 
Physics news on Phys.org
what you mean is not clear to me. could you be a bit more precise? What is a "ball"?
 
olgranpappy said:
what you mean is not clear to me. could you be a bit more precise? What is a "ball"?

Imagine a billiard ball of very small mass rolling without slipping or twisting over a plane or over some other surface. In classical case such problems involve quite a fascinating geometry. See, for example,
http://arxiv.org/abs/math/0611812 ( A. Agrachev, Rolling balls and Octonions)
 
To be even more precise, I'm interesting in articles like this
R. J. Eden, The Quantum Mechanics of Non-Holonomic Systems, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 205, No. 1083 (Mar. 7, 1951), pp. 583-595,
which I just found.
 

Similar threads

Undergrad Entanglement might be the result of an underlying law?
  • · Replies 4 ·
Replies
4
Views
1K
High School Is a table levitating possible, even at a minuscule probability?
  • · Replies 32 ·
2
Replies
32
Views
2K
Undergrad Rolling ball, change of direction
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Rolling balls with different rotational inertia
  • · Replies 14 ·
Replies
14
Views
3K
Billiard Ball, Conservation of Angular Momentum, Force below CM point
  • · Replies 6 ·
Replies
6
Views
1K
Undergrad Metal Ball Rolling in a Parabolic Bowl in the presence of a magnet
  • · Replies 1 ·
Replies
1
Views
2K
Question About Momentum: Ball Rolling up a Curved Ramp
  • · Replies 12 ·
Replies
12
Views
2K
Undergrad How strong is the justification for low probability extreme thermal fluctuations?
  • · Replies 6 ·
Replies
6
Views
1K
Undergrad Friction in rolling without slipping
  • · Replies 7 ·
Replies
7
Views
6K
Ball rolling within a rolling cylinder
  • · Replies 17 ·
Replies
17
Views
4K