Abstract
With the Bohr relation for the energy, E = ħω, and the deBroglie relation for the momentum vector, \( \vec p=\hbar\vec k \),we see the dispersion relation for waves \( \omega = f(\vec k), \) goes over to a relation between energy and momentum. For a conservative system, this relation can be expressed through \( {\rm E} = H(\vec p,\vec r), \) where H is the Hamiltonian function. In particular, for a free, nonrelativistic particle, of mass m, this “dispersion relation” becomes
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© 2000 Springer Science+Business Media New York
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Hecht, K.T. (2000). The Schrödinger Wave Equation and Probability Interpretation. In: Quantum Mechanics. Graduate Texts in Contemporary Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1272-0_3
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DOI: https://doi.org/10.1007/978-1-4612-1272-0_3
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