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Phenomenology of quantum systems and Wave Mechanics: an overview

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Spectral Theory and Quantum Mechanics

Part of the book series: UNITEXT ((UNITEXTMAT))

Abstract

In this chapter we try to arouse in the user a naïve feel about what the terms quantumsystem and quantum phenomenology underlie. The more mathematically-orientedreader, perhaps not so interested in the genesis of QM’s notions in physics, may skipthe sections following the first. From sections two, in fact, we will mention a numberof experimental facts, and briefly review the theoretical “proto-quantum” methodsthat led to the formulation of wave mechanics first, and then to proper QM. Manyof the physics details can be found in [Mes99, CCP82]. We shall eschew discussingimportant steps in this historical development, e.g. atomic spectroscopy, models ofthe atom (Rutherford’s, Bohr’s, Bohr-Sommerfeld’s), the Franck-Hertz experiment,for which we recommend physics textbooks (e.g. [Mes99, CCP82]). This overview ismeant to shd light on the basic theoretical model behind QM, developed in ensuing chapters.

Two are the possible outcomes: if the result confirms the hypotheses, you only took a measurement. But if the result contradicts the assumptions, then you made a discovery.

Enrico Fermi

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Notes

  1. 1.

    Einstein was awarded the Nobel Prize in Physics for this work.

  2. 2.

    Recall 1 Å= 1010 m.

  3. 3.

    3 Another version, developed in parallel by Heisenberg, consisted in the so-called matrix mechanics, which we will not treat.

  4. 4.

    4 This second uncertainty relationship has a controversial status and its interpretion is a much thornier issue than the former’s. We will not enter this territory, and refer to classical textbooks as [Mes99] in this respect.

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© 2013 Springer-Verlag Italia

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Moretti, V. (2013). Phenomenology of quantum systems and Wave Mechanics: an overview. In: Spectral Theory and Quantum Mechanics. UNITEXT(). Springer, Milano. https://doi.org/10.1007/978-88-470-2835-7_6

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