Abstract
For the solutions of the Schrödinger equations the expectation value (quantum mechanical average value) of the energy is equal to the eigenvalue of the Hamiltonian Ĥ. In fact, the exact solutions are “energy eigenstates”:
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Mayer, I. (2003). General Theorems and Principles. In: Simple Theorems, Proofs, and Derivations in Quantum Chemistry. Mathematical and Computational Chemistry. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6519-9_2
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DOI: https://doi.org/10.1007/978-1-4757-6519-9_2
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