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

In summary, the conversation discusses the concept of an infinite potential well using quantum mechanics and its mathematical proof. The person is looking for resources to understand this theory with less math and a more theoretical approach. They also question if classical physics can explain this concept. The discussion also touches on the probability of finding a particle in the well and how it relates to the walls of the well. It is mentioned that the concept of an infinitely deep potential well is a simplification of many real-world scenarios.
  • #1
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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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  • #2
The concept of an infinite potential is taken to simply mean an impenetrable boundary.
 
  • #3
How come for some points in the 'well', the probability of finding a particle is zero?
 
  • #4
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?
 
  • #5
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?
 

What is an infinite potential well?

An infinite potential well, also known as a particle in a box, is a theoretical model in quantum mechanics that describes a particle confined to a specific region of space with an infinitely high potential barrier at the boundaries.

How does an infinite potential well work?

In an infinite potential well, the particle is confined within the boundaries of the well and cannot escape due to the infinitely high potential barriers. The particle's energy is quantized, meaning it can only have certain discrete energy levels, and it can only move from one energy level to another by absorbing or emitting a specific amount of energy.

What are the applications of the infinite potential well model?

The infinite potential well model has applications in understanding the behavior of electrons in atoms, as well as in the study of semiconductor devices, such as transistors. It also serves as a simple example in quantum mechanics to demonstrate the concept of quantized energy levels.

What are the limitations of the infinite potential well model?

The infinite potential well model is a simplified theoretical model and does not accurately represent real-world systems. It assumes that the potential barriers are infinitely high, which is not the case in most physical systems. It also does not take into account the effects of external forces or interactions between particles.

What is the significance of the infinite potential well in quantum mechanics?

The infinite potential well model is a fundamental concept in quantum mechanics that helps explain the behavior of particles in confined systems. It demonstrates the concept of quantization, where particles can only have certain discrete energy levels, and it also provides a simple example to illustrate the wave-particle duality of matter.

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