Titlebook: Conceptual Basis of Quantum Mechanics; Jan-Markus Schwindt Textbook 20161st edition Springer Nature Switzerland AG 2016 Dirac Equation.Ele

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Organiser l’amériolation continueThe weird behavior of indistinguishable particles is discussed. They found a way to completely hide their individual identities. Then we show how particles can simultaneously exist and not exist in Fock space. Finally, the density operator is used to make QM even more probabilistic.

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孤僻

Introduction: Nonlocal or Unreal?Via Bell’s inequality, it is shown that a world described by quantum mechanics must be either nonlocal or unreal, and what that even means.

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Formalism II: Infinite-Dimensional Hilbert SpacesThe weird formalism of QM is extended to function spaces. Wave functions and the Schr?dinger equation in position space are introduced. On the way, we explain why basis vectors don’t need to be elements of the space they are a basis of.

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InterpretationsSeveral interpretations of the QM formalism are discussed, in particular the Many Worlds Interpretation, the Copenhagen Interpretation, and Bohmian Mechanics.

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One-Dimensional ProblemsTypical features of solutions of the Schr?dinger equation in position space are investigated, using the simplest possible potentials in one dimension. As a highlight, we solve the harmonic oscillator with algebraic methods.

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Two-Dimensional SystemsThis is just a stopover between one and three dimensions. It allows for a simplified introduction into rotation symmetric potential, angular momentum, and separation of variables.

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Three-Dimensional SystemsThe behavior of wave functions in three dimensions is investigated, with a focus on angular momentum and spherically symmetric potentials. As a highlight, we determine the energy levels of the hydrogen atom. Again, algebraic methods turn out to be very useful and elegant.