DIRECT QUANTIZATION OF EQUATIONS OF MOTION: FROM CLASSICAL DYNAMICS TO TRANSITION AMPLITUDES VIA STRINGS

DOI10.1142/S0219887810004865zbMath1210.81066arXivhep-th/0703073MaRDI QIDQ3084711

Denis Kochan

Publication date: 25 March 2011

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0703073

zbMATH Keywords

quantization of dissipative systemspath vs. surface integralumbilical strings

Mathematics Subject Classification ID

Unified quantum theories (81V22) Path integrals in quantum mechanics (81S40) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

• Equations of motion, commutation relations and ambiguities in the Lagrangian formalism
• How to quantize forces (?): an academic essay on how the strings could enter classical mechanics
• The Helmholtz conditions revisited. A new approach to the inverse problem of Lagrangian dynamics
• On a variational principle for the Nambu dynamics
• On the inverse problem of the calculus of variations
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