Linearalmost Poisson structures and Hamilton-Jacobi equation. Applicationsto nonholonomic mechanics
Journal of Geometric Mechanics, 2010 Manuel de León +2 more
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, 2012 It is shown how the time-dependent Schr\"{o}dinger equation may be simply derived from the dynamical postulate of Feynman's path integral formulation of quantum mechanics and the Hamilton-Jacobi equation of classical mechanics. Schr\"{o}dinger's own published derivations of quantum wave equations, the first of which was also based on the Hamilton ...
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Five-dimensional Hamiltonian-Jacobi approach to relativistic quantum mechanics [PDF]
, 2003 A novel theory is outlined for describing the dynamics of relativistic electrons and positrons. By introducing the Lorentz-invariant universal time as a fifth independent variable, the Hamilton-Jacobi formalism of classical mechanics is extended from ...
Rose, Harald
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Revisiting Schrödinger's fourth-order, real-valued wave equation and the implication from the resulting energy levels. [PDF]
R Soc Open Sci, 2023 Makris N.
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Discerned and Non-Discerned Particles in Classical Mechanics and Quantum Mechanics Interpretation
, 2010 We introduce into classical mechanics the concept of non-discerned particles for particles that are identical, non-interacting and prepared in the same way.
Gondran, Michel, Gondran, Alexandre
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A Covariant Non-Local Model of Bohm's Quantum Potential. [PDF]
Entropy (Basel), 2023 Mauri R, Giona M.
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Quantization of events in the event-universe and the emergence of quantum mechanics. [PDF]
Sci Rep, 2023 Shor O, Benninger F, Khrennikov A.
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Discerned and Non-Discerned Particles in Classical Mechanics and Quantum Mechanics Interpretation
, 2011 We introduce into classical mechanics the concept of non-discerned particles for particles that are identical, non-interacting and prepared in the same way.
Gondran, Michel, Gondran, Alexandre
core
Quantum Chern-Simons Theories on Cylinders: BV-BFV Partition Functions. [PDF]
Commun Math Phys, 2023 Cattaneo AS, Mnev P, Wernli K.
europepmc +1 more source
A Geometry of Hamiltonian Mechanics. [PDF]
Entropy (Basel)Elgressy G, Horwitz L.
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