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  1. That theory is known as quantum mechanics, and it is now the basic framework for understanding atomic, nuclear, and subnuclear physics, as well as condensed-matter (or ”solid-state”) physics.

  2. explanation of how quantum mechanics explains the main trends of atomic properties as one proceeds down the periodic table. Many-electron atoms are extremely complex systems that cannot be treated in a first course with a level of rigour with which we are comfortable. Scattering theory is of enormous practical importance and raises some

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  3. Quantum Theory, Groups and Representations: An Introduction Revised and expanded version, under construction Peter Woit Department of Mathematics, Columbia University woit@math.columbia.edu January 9, 2024

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  4. This chapter gives a brief introduction to quantum mechanics. Quantum mechanics can be thought of roughly as the study of physics on very small length scales, although there are also certain macroscopic systems it directly applies to.

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  5. Quantum mechanics is often thought of as being the physics of the very small as seen through its successes in describing the structure and properties of atoms and molecules – the chemical properties of matter – the structure of atomic nuclei and the properties of elementary particles.

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  6. The Mathematical Structure of Quantum Mechanics ! ˝ˆ ˝! ˙ ˝!Inscription on Plato’s door. QM is fundamentally di erent from Classical Mechanics in several ways: It does aim to provide a description of physical reality, but merely to make predictions for measure-ments. It is by its very design a theory of measurement.

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