Titlebook: An Introductory Path to Quantum Theory; Using Mathematics to Stephen Bruce Sontz Textbook 2020 Springer Nature Switzerland AG 2020 quantum

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Viewpoint,problems. The other says that nobody understands quantum theory. There is no contradiction. The point of the first saying is that quantum theory consists of some rules of calculation that one can learn with enough experience. The point of the second saying is that nobody can explain the rules in and

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Neither Particle nor Wave,mathematically than the equally famous equation of motion . of classical mechanics, which is also called the Second Law of Motion of I. Newton. However, there are certain basic ideas—which become intuitions as time goes by—behind these equations.

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Operators and Canonical Quantization, assume that the reader is familiar with . and . from linear algebra of finite dimensional spaces. In this book the vector space . be infinite dimensional. And we say ‘operator’ instead of ‘transformation.’ The field of scalars will usually be the complex numbers, in which case we are then consideri

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The Language of Hilbert Space,ee sections form a mini-course of some 14 pages and can be read as need arises in order to understand concepts and notation. The next four sections are explicitly optional. This chapter overlaps the material in many fine . texts, such as [34], where proofs can be found.

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Bosons and Fermions,wo-body problem, reduces to two one-body problems: one for the center of mass of the two bodies and one for an electron (with a slightly adjusted mass) interacting with the external potential energy generated by the electric charge of a proton located at a fixed position. However, we must make some