Energy eigenstates are specific quantum states of a system that correspond to definite values of energy, known as energy eigenvalues. These states form the basis for understanding various quantum systems, as they encapsulate the allowed energy levels and the probability distributions of particles in those systems. Energy eigenstates are crucial in solving the Schrödinger equation, providing insights into the behavior of particles in different potentials, such as wells and oscillators, and serve as a foundation for perturbation theory.
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