The de Broglie-Bohm weak interpretation
, 2017 We define the de Broglie-Bohm (dBB) weak interpretation as the dBB interpretation restricted to particles in unbound states whose wave function is defined in the three-dimensional physical space, and the dBB strong interpretation as the usual dBB ...
Gondran, Alexandre, Gondran, Michel
core
Relational Bundle Geometric Formulation of Non‐Relativistic Quantum Mechanics
Fortschritte der Physik, Volume 73, Issue 12, December 2025.Abstract A bundle geometric formulation of non‐relativistic many‐particles Quantum Mechanics is presented. A wave function is seen to be a C$\mathbb {C}$‐valued cocyclic tensorial 0‐form on configuration space‐time seen as a principal bundle, while the Schrödinger equation flows from its covariant derivative, with the action functional supplying a ...
J. T. François, L. Ravera
wiley +1 more source
The theory of the double preparation: discerned and indiscerned particles
, 2013 In this paper we propose a deterministic and realistic quantum mechanics interpretation which may correspond to Louis de Broglie's "double solution theory".
Gondran, Alexandre, Gondran, Michel
core
, 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 ...
openaire +1 more source
On controlled Hamilton and Hamilton-Jacobi differential equations of higher-order. [PDF]
Sci Rep, 2022 Treanţă S, Nonlaopon K, Khan MB.
europepmc +1 more source
Uncertainty Relations in the Madelung Picture Including a Dissipative Environment. [PDF]
Entropy (Basel), 2023 Schuch D, Bonilla-Licea M.
europepmc +1 more source
Fine Properties of Geodesics and Geodesic λ-Convexity for the Hellinger-Kantorovich Distance. [PDF]
Arch Ration Mech Anal, 2023 Liero M, Mielke A, Savaré G.
europepmc +1 more source
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.
europepmc +1 more source
A Covariant Non-Local Model of Bohm's Quantum Potential. [PDF]
Entropy (Basel), 2023 Mauri R, Giona M.
europepmc +1 more source
Quantization of events in the event-universe and the emergence of quantum mechanics. [PDF]
Sci Rep, 2023 Shor O, Benninger F, Khrennikov A.
europepmc +1 more source