"Kochan, Denis" . . "60" . . "RIV/61389005:_____/10:00341389!RIV10-MSM-61389005" . . "RIV/61389005:_____/10:00341389" . "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." . "262200" . "Journal of Geometry and Physics" . . . . "2" . . . "11"^^ . "1"^^ . . "1"^^ . "000274760300006" . . "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 . . . . "0393-0440" . . "NL - Nizozemsko" . . "How to quantize forces (?): An academic essay on how the strings could enter classical mechanics"@en . "[722F692228BF]" . "How to quantize forces (?): An academic essay on how the strings could enter classical mechanics" . "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 . . "Line element contact bundle; Classical mechanics; Dissipative systems"@en . "P(LC06002), Z(AV0Z10480505)" . .