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advanced_tools:group_theory:representation_theory:metaplectic_representation
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Metaplectic Representation
Why is it interesting?
Here we touch one of the central themes of this book, the metaplectic representation of the symplectic group. It is a deep and fascinating subject of mathematics, unfortunately unknown to most physicists. It is however essential to the understanding of the relationship between classical and quantum mechanics […] While it is true that Schrödinger’s argument was not rigorous (it was rather a “sleepwalker” argument 1 ), all the mathematically “forbidden” steps he took ultimately lead him to his famous equation (6.3). But it all worked so well, because what he was discovering, using rudimentary and awkward mathematical methods, was a property of pure mathematics. He in fact discovered the metaplectic representation of the symplectic group
chapter 6 in The Principles of Newtonian and Quantum Mechanics by M. Gosson
Layman
Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.
Student
In this section things should be explained by analogy and with pictures and, if necessary, some formulas.
Researcher
The motto in this section is: the higher the level of abstraction, the better.
- Common Question 1
- Common Question 2
Examples
- Example1
- Example2:
History
advanced_tools/group_theory/representation_theory/metaplectic_representation.1499152551.txt.gz · Last modified: 2017/12/04 08:01 (external edit)
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