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"In physics, two or more different quantum states are said to be degenerate if they are all at the same energy level. Statistically this means that they are all equally probable of being filled, and in Quantum Mechanics it is represented mathematically by the Hamiltonian for the system having more than one linearly independent eigenstate with the same eigenvalue."
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thnx, the eigenvalues of potential well are degenerate?
Some are, some aren't. Often if the well looks exactly the same in more than one dimension, such as a two-dimensional or three-dimensional square well or harmonic oscillator, then they are degenerate.
Another common cause of degneracy is potential wells which cannot communicate, for example, two square wells separated by an infinite barrier. Here, the energy eigenstates of the entire system are degenerate, because the energy is the same whether your particle is in one well or the other.
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can you give me source of it paragraf?
Are you addressing me? if you're asking about the source of my statements, it's out of my own head. I am not quoting some other reference. If you are asking for a good description of degeneracy in basic quantum model systems, I'm a little out of date with respect to textbooks, but probably Sakurai (Modern QM) and French (Intro QM) are still in print and reliable.