The statement says that no physical potential (a measure of energy) can be truly infinite. In simpler terms, it means that there is a limit to how much energy something can have. However, in certain situations, we can use the idea of infinite potential as a good approximation or a useful tool for understanding certain systems.
Now, let's talk about the one-dimensional infinite square-well potential. Imagine a particle, like an electron, confined within a region that acts like a box. This box has endless potential energy at its boundaries, which means the particle cannot escape from it.
The statement suggests that when the potential barriers of the box are much higher than the particle's energy, denoted as V>>E, we can treat the potential as infinite for practical purposes. This means that the particle experiences a very sharp and high potential barrier that is difficult to cross.
In this situation, the behavior of the particle can be approximated by assuming an infinite potential. It simplifies the calculations and allows us to understand the properties of the system more efficiently. However, it's important to remember that in reality, no potential can truly be infinite, and this is just a useful approximation in certain scenarios.
Although infinite potential doesn't exist in the physical world, we can still use it as an approximation to understand systems with very high potential barriers compared to the energy of the particles involved, like the one-dimensional infinite square-well potential.
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