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Part of the book series: Graduate Texts in Physics ((GTP))

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Abstract

On the basis of the results of the fundamental experiments described in Chap. 2, the wave function is introduced as probability amplitude and the formal description of the particle-wave duality in terms of wave packets is presented. In this context, also the uncertainty principle is derived. This leads to the description of measurement observables by means of operators. Using the operator description, plausibility arguments yield the Schrödinger equation for the description of single particle dynamics. Simple analytical solutions of the Schrödinger equation, which are important for nanoelectronics, are presented.

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Lüth, H. (2013). Particle-Wave Duality. In: Quantum Physics in the Nanoworld. Graduate Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31238-0_3

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