theories:classical_mechanics:koopman_von_neumann_mechanics
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theories:classical_mechanics:koopman_von_neumann_mechanics [2018/04/30 15:18] jakobadmin [Why is it interesting?] |
theories:classical_mechanics:koopman_von_neumann_mechanics [2018/12/18 12:54] jakobadmin |
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| <tabbox Intuitive> | <tabbox Intuitive> | ||
| - | Koopman-von-Neumann Mechanics is a reformulation of [[theories:newtonian_mechanics|classical mechanics]] using the same language that we usually only use in [[theories:quantum_mechanics|quantum mechanics]]. | + | Koopman-von-Neumann Mechanics is a reformulation of [[theories:classical_mechanics:newtonian|classical mechanics]] using the same language that we usually only use in [[theories:quantum_mechanics:canonical|quantum mechanics]]. |
| Usually in classical mechanics, our main focus is the trajectories of objects. | Usually in classical mechanics, our main focus is the trajectories of objects. | ||
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| The equation of motion in Koopmann-von-Neumann mechanics is a complexified reformulation of the classical Liouville equation (which handles probability distributions over the phase space). | The equation of motion in Koopmann-von-Neumann mechanics is a complexified reformulation of the classical Liouville equation (which handles probability distributions over the phase space). | ||
| - | * See the notes by Frank Wilczek on [[http://frankwilczek.com/2015/koopmanVonNeumann02.pdf|"Koopman von Neumann Mechanics, and a Step Beyond"]] | + | * See the notes by Frank Wilczek on [[https://web.archive.org/web/20170206103038/http://frankwilczek.com/2015/koopmanVonNeumann02.pdf|"Koopman von Neumann Mechanics, and a Step Beyond"]] |
| * See also this [[https://physics.stackexchange.com/a/80822|nice answer at StackExchange]] | * See also this [[https://physics.stackexchange.com/a/80822|nice answer at StackExchange]] | ||
| + | * [[https://arxiv.org/pdf/quant-ph/0301172.pdf|Topics in Koopman-von Neumann Theory]] -a Ph.D. Thesis by Danilo Mauro | ||
| <tabbox Abstract> | <tabbox Abstract> | ||
theories/classical_mechanics/koopman_von_neumann_mechanics.txt · Last modified: 2021/11/15 18:07 by 109.147.252.211
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