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Open Quantum Systems Decoherence

How do I introduce Schrödinger equation during the quantum mechanics course?

arXiv
Authors: T. Mart

Year

2020

Paper ID

7105

Status

Preprint

Abstract Read

~2 min

Abstract Words

184

Citations

N/A

Abstract

In this paper I explain how I usually introduce the Schrödinger equation during the quantum mechanics course. My preferred method is the chronological one. Since the Schrödinger equation belongs to a special case of wave equations I start the course with introducing the wave equation. The Schrödinger equation is derived with the help of the two quantum concepts introduced by Max Planck, Einstein, and de Broglie, i.e., the energy of a photon E=hbarω and the wavelength of the de Broglie wave λ=h/p. Finally, the difference between the classical wave equation and the quantum Schrödinger one is explained in order to help the students to grasp the meaning of quantum wavefunction Ψ\({bf r},t\). A comparison of the present method to the approaches given by the authors of quantum mechanics textbooks as well as that of the original Nuffield A level is presented. It is found that the present approach is different from those given by these authors, except by Weinberg or Dicke and Wittke. However, the approach is in line with the original Nuffield A level one.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • In this paper I explain how I usually introduce the Schrödinger equation during the quantum mechanics course.

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