advanced_tools:group_theory:representation_theory:metaplectic_representation
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advanced_tools:group_theory:representation_theory:metaplectic_representation [2017/07/04 13:19] jakobadmin [Why is it interesting?] |
advanced_tools:group_theory:representation_theory:metaplectic_representation [2018/04/08 16:14] (current) 63.143.42.253 ↷ Links adapted because of a move operation |
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| We will in fact see that both classical and quantum mechanics rely on | We will in fact see that both classical and quantum mechanics rely on | ||
| - | the same mathematical object, the Hamiltonian flow, viewed as an abstract | + | the same mathematical object, the [[formalisms:hamiltonian_formalism|Hamiltonian flow]], viewed as an abstract |
| group. If one makes that group act on points in phase space, via its symplectic representation, one obtains Hamiltonian mechanics. If one makes it | group. If one makes that group act on points in phase space, via its symplectic representation, one obtains Hamiltonian mechanics. If one makes it | ||
| act on functions, via the metaplectic representation, one obtains quantum | act on functions, via the metaplectic representation, one obtains quantum | ||
advanced_tools/group_theory/representation_theory/metaplectic_representation.1499167194.txt.gz · Last modified: 2017/12/04 08:01 (external edit)
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