La mécanique ondulatoire et la structure atomique de la matière et du rayonnement

Bell's theorem. Experimental tests and implications

Clauser, J. F., & Shimony, A. (1978) · Reports on Progress in Physics · doi:10.1088/0034-4885/41/12/002 · Cited by 1,551

Strong Loophole-Free Test of Local Realism

Shalm, L. K., Meyer-Scott, E., Christensen, B. G., Bierhorst, P., Wayne, M. A., Stevens, M. J., Gerrits, T., Glancy, S., Hamel, D. R., Allman, M. S., et al. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.250402 · Cited by 1,402

The transactional interpretation of quantum mechanics

Cramer, J. G. (1986) · Reviews of Modern Physics · doi:10.1103/revmodphys.58.647 · Cited by 875

Quantum theory cannot consistently describe the use of itself

Frauchiger, D., & Renner, R. (2018) · Nature Communications · doi:10.1038/s41467-018-05739-8 · Cited by 333

Microcavities

Kavokin, A. V., Baumberg, J. J., Malpuech, G., & Laussy, F. P. (2017) · doi:10.1093/oso/9780198782995.001.0001 · Cited by 326

Is a System’s Wave Function in One-to-One Correspondence with Its Elements of Reality?

Colbeck, R., & Renner, R. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.150402 · Cited by 245

Conceptual Developments of 20th Century Field Theories

Cao, T. Y. (1997) · Cambridge University Press eBooks · doi:10.1017/cbo9780511563997 · Cited by 252

Quantum theory cannot consistently describe the use of itself

Frauchiger, D., & Renner, R. (2018) · RePEc: Research Papers in Economics · doi:10.3929/ethz-b-000293141 · Cited by 241

No extension of quantum theory can have improved predictive power

Colbeck, R., & Renner, R. (2011) · Nature Communications · doi:10.1038/ncomms1416 · Cited by 223

Gravitational decoherence

Bassi, A., Großardt, A., & Ulbricht, H. (2017) · Classical and Quantum Gravity · doi:10.1088/1361-6382/aa864f · Cited by 208

The reinterpretation of wave mechanics

de Broglie, L. (1970) · Foundations of Physics · doi:10.1007/bf00708650 · Cited by 170

Hydrodynamic quantum analogs

Bush, J. W. M., & Oza, A. U. (2020) · Reports on Progress in Physics · doi:10.1088/1361-6633/abc22c · Cited by 139

Applied Bohmian mechanics

Benseny, A., Albareda, G., Sanz, Á. S., Mompart, J., & Oriols, X. (2014) · The European Physical Journal D · doi:10.1140/epjd/e2014-50222-4 · Cited by 131

Phase transitions between dilute and dense axion stars

Chavanis, P.-H. (2018) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.98.023009 · Cited by 115

Applied Bohmian Mechanics

Oriols, X., & Mompart, J. (2019) · doi:10.1201/9780429294747 · Cited by 107

Ensemble interpretations of quantum mechanics. A modern perspective

Home, D., & Whitaker, M. A. B. (1992) · Physics Reports · doi:10.1016/0370-1573(92)90088-h · Cited by 101

Cosmological evolution of a complex scalar field with repulsive or attractive self-interaction

Suárez, A., & Chavanis, P.-H. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.95.063515 · Cited by 73

Narrow-Width SOI Devices: The Role of Quantum–Mechanical Size Quantization Effect and Unintentional Doping on the Device Operation

Vasileska, D., & Ahmed, S. (2005) · IEEE Transactions on Electron Devices · doi:10.1109/ted.2004.842715 · Cited by 62

Modified de Broglie-Bohm approach to quantum mechanics

John, M. V. (2001) · CERN Document Server (European Organization for Nuclear Research) · Cited by 56

Time in Quantum Cosmology

Kiefer, C., & Peter, P. (2022) · Universe · doi:10.3390/universe8010036 · Cited by 57

Collapse models

Pearle, P. (2008) · Springer eBooks · doi:10.1007/bfb0104404 · Cited by 68

Einstein's 1927 unpublished hidden-variable theory: Its background, context and significance

Belousek, D. W. S. (1996) · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · doi:10.1016/s1355-2198(96)00015-9 · Cited by 47

Probabilities and trajectories in a classical wave-particle duality

Couder, Y., & Fort, E. (2012) · Journal of Physics Conference Series · doi:10.1088/1742-6596/361/1/012001 · Cited by 46

Evolution of classical and quantum phase-space distributions: A new trajectory approach for phase space hydrodynamics

Trahan, C. J., & Wyatt, R. E. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1607315 · Cited by 45

On the Physical Reality of Quantum Waves

Auletta, G., & Tarozzi, G. (2004) · Foundations of Physics · doi:10.1007/s10701-004-1309-y · Cited by 43

Surrealistic Bohmian trajectories do not occur with macroscopic pointers

Tastevin, G., & Laloë, F. (2018) · The European Physical Journal D · doi:10.1140/epjd/e2018-90129-4 · Cited by 39

Jeans-type instability of a complex self-interacting scalar field in general relativity

Suárez, A., & Chavanis, P.-H. (2018) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.98.083529 · Cited by 41

Numerical simulation of the double slit interference with ultracold atoms

Gondran, M., & Gondran, A. (2005) · American Journal of Physics · doi:10.1119/1.1858484 · Cited by 36

Modified Schrödinger dynamics with attractive densities

Laloë, F. (2015) · The European Physical Journal D · doi:10.1140/epjd/e2015-60222-5 · Cited by 36

Experimental Bound on the Maximum Predictive Power of Physical Theories

Stuart, T. E., Slater, J. A., Colbeck, R., Renner, R., & Tittel, W. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.020402 · Cited by 33

On an electrodynamic origin of quantum fluctuations

López, Á. G. (2020) · Nonlinear Dynamics · doi:10.1007/s11071-020-05928-5 · Cited by 28

About Some Problems Raised by the Relativistic Form of De-Broglie–Bohm Theory of Pilot Wave

Shojai, A., & Shojai, F. (2001) · Physica Scripta · doi:10.1238/physica.regular.064a00413 · Cited by 31

Applied Bohmian Mechanics

(2012) · doi:10.1201/b12311 · Cited by 34

Madelung transform and probability densities in hybrid quantum–classical dynamics

Gay–Balmaz, F., & Tronci, C. (2020) · Nonlinearity · doi:10.1088/1361-6544/aba233 · Cited by 30

Multifold paths of neutrons in the three-beam interferometer detected by a tiny energy kick

Geppert-Kleinrath, H., Denkmayr, T., Sponar, S., Lemmel, H., Jenke, T., & Hasegawa, Y. (2018) · Physical Review A · doi:10.1103/physreva.97.052111 · Cited by 31

Impact of strong quantum confinement on the performance of a highly asymmetric device structure: Monte Carlo particle-based simulation of a focused-ion-beam MOSFET

Knežević, I., Vasileska, D., & Ferry, D. K. (2002) · IEEE Transactions on Electron Devices · doi:10.1109/ted.2002.1003723 · Cited by 29

Parameter-Free Effective Potential Method for Use in Particle-Based Device Simulations

Ahmed, S., Ringhofer, C. A., & Vasileska, D. (2005) · IEEE Transactions on Nanotechnology · doi:10.1109/tnano.2005.851239 · Cited by 28

Hydrodynamic quantum field theory: the free particle

Dagan, Y., & Bush, J. W. M. (2020) · Comptes Rendus Mécanique · doi:10.5802/crmeca.34 · Cited by 26

Relativistic Bohmian trajectories of photons via weak measurements

Foo, J., Asmodelle, E., Lund, A. P., & Ralph, T. C. (2022) · Nature Communications · doi:10.1038/s41467-022-31608-6 · Cited by 26

Comparing Wigner, Husimi and Bohmian distributions: which one is a true probability distribution in phase space?

Colomés, E., Zhan, Z., & Oriols, X. (2015) · Journal of Computational Electronics · doi:10.1007/s10825-015-0737-6 · Cited by 30

Bohm's theory: Common sense dismissed

Cushing, J. T. (1993) · Studies in History and Philosophy of Science Part A · doi:10.1016/0039-3681(93)90065-r · Cited by 24

Maximum mass of relativistic self-gravitating Bose-Einstein condensates with repulsive or attractive |φ|4 self-interaction

Chavanis, P.-H. (2023) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.107.103503 · Cited by 25

Quantum physics: What is really real?

Merali, Z. (2015) · Nature · doi:10.1038/521278a · Cited by 22

Chirped periodic waves and solitary waves for a generalized derivative resonant nonlinear Schrödinger equation with cubic–quintic nonlinearity

Das, A., Karmakar, B., Biswas, A., Yıldırım, Y., & Alghamdi, A. A. (2023) · Nonlinear Dynamics · doi:10.1007/s11071-023-08640-2 · Cited by 21

Electromagnetic field theory without divergence problems. 2. A least invasively quantized theoryPreprint

Kiessling, M. K. ‐., Elliott, T., & Lieb, H. (2003) · Cited by 21

Mechanical analog of quantum bradyons and tachyons

Drezet, A., Jamet, P., Bertschy, D., Ralko, A., & Poulain, C. (2020) · Physical review. E · doi:10.1103/physreve.102.052206 · Cited by 20

Features of Moyal trajectories

Dias, N. C., & Prata, J. N. (2007) · Journal of Mathematical Physics · doi:10.1063/1.2409495 · Cited by 20

The completeness of quantum theory for predicting measurement outcomesPreprint

Colbeck, R., & Renner, R. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1208.4123 · Cited by 22

The outcomes of measurements in the de Broglie–Bohm theory

Tastevin, G., & Laloë, F. (2021) · Comptes Rendus Physique · doi:10.5802/crphys.81 · Cited by 18

Conceptual Developments of 20th Century Field Theories

Cao, T. Y. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108566926 · Cited by 22

Quantum Trajectories: Real or Surreal?

Hiley, B. J., & Reeth, P. V. (2018) · Entropy · doi:10.3390/e20050353 · Cited by 18

Complete Hamiltonian Description of Wave-Like Features in Classical and Quantum Physics

Orefice, A., Giovanelli, R., & Ditto, D. (2009) · Foundations of Physics · doi:10.1007/s10701-009-9280-2 · Cited by 18

Bouncing Oil Droplets, de Broglie’s Quantum Thermostat, and Convergence to Equilibrium

Hatifi, M., Willox, R., Colin, S., & Durt, T. (2018) · Entropy · doi:10.3390/e20100780 · Cited by 18

Stochastic emergent quantum gravity

Erlich, J. (2018) · Classical and Quantum Gravity · doi:10.1088/1361-6382/aaeb55 · Cited by 16

Observation of Bohm trajectories and quantum potentials of classical waves

Rozenman, G. G., Bondar, D. I., Schleich, W. P., Shemer, L., & Arie, A. (2023) · Physica Scripta · doi:10.1088/1402-4896/acb408 · Cited by 17

On a 2+1‐Dimensional Whitham–Broer–Kaup System: A Resonant NLS Connection

Rogers, C., & Pashaev, O. K. (2011) · Studies in Applied Mathematics · doi:10.1111/j.1467-9590.2010.00514.x · Cited by 17

Why engineers are right to avoid the quantum reality offered by the orthodox theory? [point of view]

Oriols, X., & Ferry, D. K. (2021) · Proceedings of the IEEE · doi:10.1109/jproc.2021.3067110 · Cited by 17

Overview of Bohmian Mechanics

Oriols, X. (2012) · Pan Stanford Publishing eBooks · doi:10.1201/b12311-2 · Cited by 17

Equivalent Quantum Equations in a System Inspired by Bouncing Droplets Experiments

Borghesi, C. (2017) · Foundations of Physics · doi:10.1007/s10701-017-0103-6 · Cited by 17

A review of basic results on the Bose–Einstein condensate dark matter model

Chavanis, P.-H. (2025) · Frontiers in Astronomy and Space Sciences · doi:10.3389/fspas.2025.1538434 · Cited by 21

Louis de Broglie und die Entdeckung der Materiewellen

Kubli, F. (1970) · Archive for History of Exact Sciences · doi:10.1007/bf00328784 · Cited by 16

Modern Quantum Theory

Bertlmann, R. A., & Friis, N. (2023) · doi:10.1093/oso/9780199683338.001.0001 · Cited by 19

Bohmian trajectory-bloch wave approach to dynamical simulation of electron diffraction in crystal

Cheng, L., Yi, M., & Ding, Z. (2018) · New Journal of Physics · doi:10.1088/1367-2630/aae8f1 · Cited by 15

K-Essence Lagrangians of Polytropic and Logotropic Unified Dark Matter and Dark Energy Models

Chavanis, P. (2021) · Astronomy · doi:10.3390/astronomy1030011 · Cited by 14

Consistent quantum measurements

Griffiths, R. B. (2015) · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · doi:10.1016/j.shpsb.2015.07.002 · Cited by 26

Probability and complex quantum trajectories: Finding the missing links

John, M. V. (2010) · Annals of Physics · doi:10.1016/j.aop.2010.06.008 · Cited by 15

Predictions from the logotropic model: The universal surface density of dark matter halos and the present proportions of dark matter and dark energy

Chavanis, P.-H. (2022) · Physics of the Dark Universe · doi:10.1016/j.dark.2022.101098 · Cited by 16

Double Solution with Chaos: Dynamic Redundance and Causal Wave-Particle DualityPreprint

Kirilyuk, A. P. (1999) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/9902015 · Cited by 26

Overview of Microcavities

Kavokin, A. V., Baumberg, J. J., Malpuech, G., & Laussy, F. P. (2017) · Oxford University Press eBooks · doi:10.1093/oso/9780198782995.003.0001 · Cited by 15

Trajectory eigenmodes of an orbiting wave source

Fort, E., & Couder, Y. (2013) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/102/16005 · Cited by 14

Measurement in the de Broglie-Bohm Interpretation: Double-Slit, Stern-Gerlach, and EPR-B

Gondran, M., & Gondran, A. (2014) · Physics Research International · doi:10.1155/2014/605908 · Cited by 18

Quantization of inhomogeneous spacetimes with cosmological constant term

Zampeli, A., & Paliathanasis, A. (2021) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ac1209 · Cited by 14

The Completeness of Quantum Theory for Predicting Measurement Outcomes

Colbeck, R., & Renner, R. (2015) · Fundamental theories of physics · doi:10.1007/978-94-017-7303-4_15 · Cited by 16

Probability Current and Trajectory Representation

Bouda, A. (2001) · Foundations of Physics Letters · doi:10.1023/a:1012025211147 · Cited by 14

Features of Moyal TrajectoriesPreprint

Dias, N. C., & Prata, J. N. (2006) · Cited by 14

A Geometric Model in 3+1D Space-Time for Electrodynamic Phenomena

Faber, M. (2022) · Universe · doi:10.3390/universe8020073 · Cited by 13

Exact classical correspondence in quantum cosmology

John, M. V. (2015) · Gravitation and Cosmology · doi:10.1134/s0202289315030044 · Cited by 13

The simplest possible bouncing quantum cosmological model

Peter, P., & Vitenti, S. D. P. (2016) · Modern Physics Letters A · doi:10.1142/s021773231640006x · Cited by 13

On the carrier of inertia

Grahn, P., Annila, A., & Kolehmainen, E. T. (2018) · AIP Advances · doi:10.1063/1.5020240 · Cited by 13

A theory of the relativistic fermionic spinrevorbital

Reginald, B. L. (2015) · International Journal of the Physical Sciences · doi:10.5897/ijps2014.4164 · Cited by 13

Energy balance of a Bose gas in a curved space-time

Matos, T., Avilez, A., Bernal, T., & Chavanis, P.-H. (2019) · General Relativity and Gravitation · doi:10.1007/s10714-019-2644-9 · Cited by 13

Classical and Bohmian trajectories in semiclassical systems: Mismatch in dynamics, mismatch in reality?

Matzkin, A., & Nurock, V. (2007) · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · doi:10.1016/j.shpsb.2007.04.005 · Cited by 14

Universal gravitation as a complex-dynamical process, renormalised Planckian units, and the spectrum of elementary particlesPreprint

Kirilyuk, A. P. (1999) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/9906077 · Cited by 13

75 Years of the Wavefunction: Complex-Dynamical Extension of the Original Wave Realism and the Universal Schroedinger EquationPreprint

Kirilyuk, A. P. (2001) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0101129 · Cited by 13

Louis de Broglie und die Entdeckung der Materiewelle

Kubli, F. (1970) · ETH Zürich Research Collection · doi:10.3929/ethz-a-000085764 · Cited by 13

Epistemic Horizons and the Foundations of Quantum Mechanics

Szangolies, J. (2018) · Foundations of Physics · doi:10.1007/s10701-018-0221-9 · Cited by 14

Justifying Born’s Rule Pα = |Ψα|2 Using Deterministic Chaos, Decoherence, and the de Broglie–Bohm Quantum Theory

Drezet, A. (2021) · Entropy · doi:10.3390/e23111371 · Cited by 12

Dirac Theory in Hydrodynamic Form

Fabbri, L. (2023) · Foundations of Physics · doi:10.1007/s10701-023-00695-w · Cited by 12

Invariant Forms of Conservation Equations and Some Examples of Their Exact Solutions

Sohrab, S. H. (2014) · Journal of Energy Resources Technology · doi:10.1115/1.4027765 · Cited by 12

Form of a spin-dependent quantum potential

Petroni, N. C., Gueret, P., & Vigier, J. P. (1984) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.30.495 · Cited by 12

Quantum Field Mechanics: Complex-Dynamical Completion of Fundamental Physics and Its Experimental ImplicationsPreprint

Kirilyuk, A. P. (2004) · arXiv (Cornell University) · doi:10.48550/arxiv.physics/0401164 · Cited by 12

75 Years of Matter Wave: Louis de Broglie and Renaissance of the Causally Complete KnowledgePreprint

Kirilyuk, A. P. (1999) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/9911107 · Cited by 23

Quantum stresses in the hydrogen atom

Freese, A. J. (2025) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.111.034047 · Cited by 12

Spin in the extended electron model

Pope, T. J., & Hofer, W. A. (2017) · Frontiers of Physics · doi:10.1007/s11467-017-0669-7 · Cited by 11

Quantum Solitodynamics: Non-linear Wave Mechanics and Pilot-Wave Theory

Drezet, A. (2023) · Foundations of Physics · doi:10.1007/s10701-023-00671-4 · Cited by 12

The evolution of the ideas of Louis de Broglie on the interpretation of wave mechanics

Lochak, G. (1982) · Foundations of Physics · doi:10.1007/bf01889267 · Cited by 11

Present, predicted, and hidden probabilities

de Broglie, L., Lochak, G., Beswick, J. A., & Pereira, J. V. (1976) · Foundations of Physics · doi:10.1007/bf00708659 · Cited by 11

Hidden-Variables Models of Quantum Mechanics (Noncontextual and Contextual)

Shimony, A. (2009) · Compendium of Quantum Physics · doi:10.1007/978-3-540-70626-7_89 · Cited by 10

On the exhaust of electromagnetic drive

Grahn, P., Annila, A., & Kolehmainen, E. T. (2016) · AIP Advances · doi:10.1063/1.4953807 · Cited by 10

Bouncing Droplets, Pilot-Waves, and Quantum Mechanics

Bohr, T., Andersen, A., & Lautrup, B. E. (2016) · Environmental science and engineering · doi:10.1007/978-3-319-27965-7_25 · Cited by 10

Les principes de la nouvelle mécanique ondulatoire

de Broglie, L. (1926) · Journal de physique · doi:10.1051/jphysrad:01926007011032100 · Cited by 25

La mécanique ondulatoire et l’étude des très petites structures

de Broglie, L. (1949) · Annals of Telecommunications · doi:10.1007/bf03012207

La mécanique ondulatoire et ľétude des très petites structures

de Broglie, L. (1995) · Annals of Telecommunications · doi:10.1007/bf03000769

Remarques sur la mécanique ondulatoire

Brillouin, L. (1926) · Journal de physique · doi:10.1051/jphysrad:01926007012035300 · Cited by 249

La mécanique ondulatoire

de Broglie, L. (1928) · Gauthier-Villars eBooks · Cited by 1