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Quantum Mechanics: States and Operators

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Abstract

The goal of this chapter is to connect the fundamental quantum-mechanical concepts to representations that a computer can understand. We develop the tools that will be used in the remaining chapters to express and solve interesting quantum-mechanical problems.

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Notes

  1. 1.

    See https://en.wikipedia.org/wiki/Double-slit_experiment.

  2. 2.

    See https://en.wikipedia.org/wiki/Stern-Gerlach_experiment.

  3. 3.

    See https://en.wikipedia.org/wiki/Uncertainty_principle.

  4. 4.

    The following calculations can be extended to situations where the basis is not ortho-normal. For the scope of this book we are however not interested in this complication.

  5. 5.

    See https://en.wikipedia.org/wiki/Variational_method_(quantum_mechanics).

  6. 6.

    See https://en.wikipedia.org/wiki/Magnus_expansion.

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Correspondence to Roman Schmied .

2.1 Electronic supplementary material

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Schmied, R. (2020). Quantum Mechanics: States and Operators. In: Using Mathematica for Quantum Mechanics. Springer, Singapore. https://doi.org/10.1007/978-981-13-7588-0_2

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  • DOI: https://doi.org/10.1007/978-981-13-7588-0_2

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-7587-3

  • Online ISBN: 978-981-13-7588-0

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