Abstract
For a particle with a finite rest mass m, which moves with a velocity v slow compared to the velocity of light, the relation between energy and momentum is
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We have chosen this spectral function to correspond to the square root of the spectral function that was used in Section 2.4 to construct a wave packet of light. Since the area under the spectral function \(f(k)\) of Section 2.4 was equal to one, the area under \({[f(p)]^2}\) is now equal to one. This guarantees that the normalization condition of the wave function ψ in the next section will be fulfilled.
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© 2012 Springer Science+Business Media New York
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Brandt, S., Dahmen, H.D. (2012). Probability Waves of Matter. In: The Picture Book of Quantum Mechanics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3951-6_3
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DOI: https://doi.org/10.1007/978-1-4614-3951-6_3
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