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How to quantize forces (?): An academic essay on how the strings could enter classical mechanics
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SYSNO ASEP 0341389 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název How to quantize forces (?): An academic essay on how the strings could enter classical mechanics Tvůrce(i) Kochan, Denis (UJF-V) Zdroj.dok. Journal of Geometry and Physics. - : Elsevier - ISSN 0393-0440
Roč. 60, č. 2 (2010), s. 219-229Poč.str. 11 s. Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova Line element contact bundle ; Classical mechanics ; Dissipative systems Vědní obor RIV BE - Teoretická fyzika CEP LC06002 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy CEZ AV0Z10480505 - UJF-V (2005-2011) UT WOS 000274760300006 DOI 10.1016/j.geomphys.2009.09.014 Anotace Geometrical formulation of classical mechanics with forces that are not necessarily potential-generated is presented. It is shown that a natural geometrical "playground" 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 "dissipative quantization" in terms of the two-form Omega is proposed. The Feynman path integral over histories of the system is rearranged to a "world-sheet" functional integral. The "umbilical string" surfaces entering the theory connect the classical trajectory of the system and the given Feynman history. Pracoviště Ústav jaderné fyziky Kontakt Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Rok sběru 2010
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