Can Classical Physics Explain the Infinite Potential Well in Quantum Mechanics?

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Discussion Overview

The discussion revolves around the concept of the infinite potential well in quantum mechanics and whether classical physics can adequately describe this phenomenon. Participants explore theoretical approaches, mathematical implications, and the relationship between quantum mechanics and classical physics.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant seeks resources for understanding the infinite potential well with a theoretical rather than mathematical focus, questioning the applicability of classical physics to this concept.
  • Another participant explains that the infinite potential is understood as an impenetrable boundary.
  • A question is raised regarding why the probability of finding a particle is zero at certain points within the well.
  • Further inquiry is made about the specific points in the well where the probability is zero, with a suggestion that this may relate to the walls of the well.
  • One participant describes the particle in an infinitely deep potential well as a mathematically simple concept, noting its relevance to real-world applications like laser cavities and suggesting that the example illustrates a standing wave in a square-bottomed well.

Areas of Agreement / Disagreement

Participants express various viewpoints on the relationship between classical and quantum descriptions of the infinite potential well, with no consensus reached on whether classical physics can fully explain the phenomenon.

Contextual Notes

The discussion includes assumptions about the nature of potential wells and the mathematical framework of quantum mechanics, which may not be fully articulated by all participants.

v_pino
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I've been told about the infinite potential well using quantum-mechanics, with mathematical proof. Is there any websites I can look at to understand this theory with less math, but instead, with a theoratical approach? Would classical-physics be able to describe this result?

thanks
 
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The concept of an infinite potential is taken to simply mean an impenetrable boundary.
 
How come for some points in the 'well', the probability of finding a particle is zero?
 
For which points in the well is the probability of finding the particle zero? Are you referring to the points corresponding to the walls of the well?
 
A particle in an infinitely deep potential well is a very simple concept (well, mathematically simple...) and is a simplification of many actual things- laser cavities (or any resonant cavity), for example.

What I suspect you are asking about is that your example shows a standing wave- you have a square-bottomed well?
 

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