About: How to quantize forces (?): An academic essay on how the strings could enter classical mechanics

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About: How to quantize forces (?): An academic essay on how the strings could enter classical mechanics Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Geometrical formulation of classical mechanics with forces that are not necessarily potential-generated is presented. It is shown that a natural geometrical %22playground%22 for a mechanical system of point particles lacking Lagrangian and/or Hamiltonian description is an odd-dimensional line element contact bundle. Time evolution is governed by certain canonical two-form Omega (an analog of dp Lambda dq - dH Lambda dt), which is constructed purely from forces and the metric tensor entering the kinetic energy of the system. Attempt to %22dissipative quantization%22 in terms of the two-form Omega is proposed. The Feynman path integral over histories of the system is rearranged to a %22world-sheet%22 functional integral. The %22umbilical string%22 surfaces entering the theory connect the classical trajectory of the system and the given Feynman history. Geometrical formulation of classical mechanics with forces that are not necessarily potential-generated is presented. It is shown that a natural geometrical %22playground%22 for a mechanical system of point particles lacking Lagrangian and/or Hamiltonian description is an odd-dimensional line element contact bundle. Time evolution is governed by certain canonical two-form Omega (an analog of dp Lambda dq - dH Lambda dt), which is constructed purely from forces and the metric tensor entering the kinetic energy of the system. Attempt to %22dissipative quantization%22 in terms of the two-form Omega is proposed. The Feynman path integral over histories of the system is rearranged to a %22world-sheet%22 functional integral. The %22umbilical string%22 surfaces entering the theory connect the classical trajectory of the system and the given Feynman history. (en)
Title	How to quantize forces (?): An academic essay on how the strings could enter classical mechanics How to quantize forces (?): An academic essay on how the strings could enter classical mechanics (en)
skos:prefLabel	How to quantize forces (?): An academic essay on how the strings could enter classical mechanics How to quantize forces (?): An academic essay on how the strings could enter classical mechanics (en)
skos:notation	RIV/61389005:_____/10:00341389!RIV10-MSM-61389005
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(LC06002), Z(AV0Z10480505)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Kochan, Denis
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav jaderné fyziky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	262200
http://linked.open...ai/riv/idVysledku	RIV/61389005:_____/10:00341389
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Line element contact bundle; Classical mechanics; Dissipative systems (en)
http://linked.open.../riv/klicoveSlovo	Classical mechanics Dissipative systems Line element contact bundle
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[722F692228BF]
http://linked.open...i/riv/nazevZdroje	Journal of Geometry and Physics
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Doppler Institute for Mathematical Physics and Applied Mathematics
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	60
http://linked.open...iv/tvurceVysledku	Kochan, Denis
http://linked.open...ain/vavai/riv/wos	000274760300006
http://linked.open...n/vavai/riv/zamer	Jaderná fyzika a příbuzné obory v základním, aplikovaném a interdisciplinárním výzkumu
issn	0393-0440
number of pages	11 (xsd:int)

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