Počet záznamů: 1
How to quantize forces (?): An academic essay on how the strings could enter classical mechanics
0341389 - UJF-V 2010 RIV NL eng J - Článek v odborném periodiku
How to quantize forces (?): An academic essay on how the strings could enter classical mechanics.
Journal of Geometry and Physics. Roč. 60, č. 2 (2010), s. 219-229 ISSN 0393-0440
Grant CEP: GA MŠk LC06002
Výzkumný záměr: CEZ:AV0Z10480505
Klíčová slova: Line element contact bundle * Classical mechanics * Dissipative systems
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 0.652, rok: 2010
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.
Trvalý link: http://hdl.handle.net/11104/0184395