Derivation of the Schrödinger Equation from Newtonian Mechanics

Nelson, Edward·1966·Physical Review

Cited by (1,000)

Items 801–900 of 1,000

  1. Asymptotic Infrared Fractal Structure of the Propagator for a Charged Fermion
    S. Gulzari, Swain, J, Widom, A · 2006 · Digital Repository Service (Northeastern University)
  2. Stochastic theory of emission and absorption of quanta
    Michele Cini, Maurizio Serva · 1986 · Journal of Physics A Mathematical and General
  3. Probability amplitude structure of Fokker–Plank equation
    M.S. Torres, J. M. A. Figueiredo · 2003 · Physica A Statistical Mechanics and its Applications
  4. Quantum equations of motion for a dissipative system
    R. J. Wysocki · 2000 · Physical Review A
  5. Stochastic field theory at finite temperature, supersymmetry, and witten index
    Pradip Ghosh, Pratul Bandyopadhyay · 1987 · Annals of Physics
  6. On the nature of the subquantum medium
    G. F. Cerofolini · 1980 · Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento
  7. Further studies in aesthetic field theory V; higher dimensions
    Murray Muraskin, Beatrice Ring · 1974 · International Journal of Theoretical Physics
  8. The positive-temperature random electromagnetic field in classical stochastic electrodynamics
    Steven M. Moore · 1979 · Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento
  9. The Smearing Out of the Thermal Initial Conditions Created in a Planck Era
    Mirosław Kozłowski, Janina Marciak-kozlowska B · 1997 · Foundations of Physics Letters
  10. Dark matter is a manifestation of the vacuum Bose-Einstein condensate
    Valeriy I. Sbitnev · 2016 · arXiv (Cornell University)
  11. Global well-posedness for the two-dimensional stochastic complex Ginzburg-Landau equation
    William J. Trenberth · 2019 · arXiv (Cornell University)
  12. Time-Dependent Gaussian Solution for the Kostin Equation around Classical Trajectories
    Fernando Haas, José Maria Filardo Bassalo, Antonio Boulhosa Nassar, M. Cattani · 2016
  13. Artian Rotor-to-Wavefunction Projection Theorem: A Conditional QTT Recovery of the Schrödinger Equation, the A6 Bounded-Generator Gate, and the Macroscopic-Ceiling No-Go
    Attar Ali · 2026 · Zenodo (CERN European Organization for Nuclear Research)
  14. de Broglie, General Covariance and a Geometric Background to Quantum Mechanics
    Basil J. Hiley, Glen Dennis · 2024 · Symmetry
  15. Nuclear Physics Mid Term Plan at LNGS
    R. Buompane, F. Cavanna, Catalina Curceanu, Antonio D’Onofrio, Antonino Di Leva, A. Formicola, L. Gialanella, C. Gustavino, G. Imbriani, M. Junker et al. · 2024 · The European Physical Journal Plus
  16. Wave Function and Information
    Leonardo Chiatti · 2024 · Quantum Reports
  17. Neural network representation of quantum systems
    Koji Hashimoto, Yuji Hirono, Jun Maeda, Jojiro Totsuka-Yoshinaka · 2024 · Machine Learning Science and Technology
  18. Fundamental Klein-Gordon Equation from Stochastic Mechanics in Curved Spacetime
    Eric S. Escobar-Aguilar, Tonatiuh Matos, J. I. Jiménez-Aquino · 2025 · Foundations of Physics
  19. The Schrödinger–Poisson equations as the large-N limit of the Newtonian N-body system: applications to the large scale dark matter dynamics
    Fabio Briscese · 2017 · The European Physical Journal C
  20. Interpretation of Schrödinger equation based on classical mechanics and spin
    Nikolai Kocherginsky · 2021 · Quantum Studies Mathematics and Foundations
  21. The generalized nonlinear Schrödinger-like equation of cosmogonical body forming: Justification and determination of its particular solutions
    Alexander M. Krot · 2022 · Partial Differential Equations in Applied Mathematics
  22. Robust and Broadband Graphene Surface Plasmon Waveguide Coupler via Quantum Control
    Yun Chen, Wei Huang, Kelvin J. A. Ooi, Wentao Zhang · 2022 · Frontiers in Physics
  23. A mass scale law connecting cosmophysics to microphysics
    Pierre-Henri Chavanis · 2024 · Physics of the Dark Universe
  24. Application of Recurrence Plot Analysis to Examine Dynamics of Biological Molecules on the Example of Aggregation of Seed Mucilage Components
    Piotr Sionkowski, Natalia Kruszewska, Agnieszka Kreitschitz, Stanislav N. Gorb, Krzysztof Domino · 2024 · Entropy
  25. Stochastic origin of spacetime noncommutativity
    Michele Arzano, Folkert Kuipers · 2025 · Physical review. D/Physical review. D.
  26. Distribution of distances in the solar system
    Vlasta Peřinová, A. Lukš, Pavel Pintr · 2006 · Chaos Solitons & Fractals
  27. Quantum fluctuations from a local-causal information dynamics
    Agus Budiyono · 2014 · Physica A Statistical Mechanics and its Applications
  28. Incompatibility of the Schrödinger equation with Langevin and Fokker-Planck equations
    Daniel T. Gillespie · 1995 · Foundations of Physics
  29. The Flux-Across-Surfaces Theorem and Zero-Energy Resonances
    G. F Dell'Antonio, Gianluca Panati · 2004 · Journal of Statistical Physics
  30. Stochastic quantization of a dissipative dynamical system and its hydrodynamical interpretation
    K. Hajra · 1991 · Journal of Mathematical Physics
  31. Extending Bell’s beables to encompass dissipation, decoherence, and the quantum-to-classical transition through quantum trajectories
    F. Lorenzen, M. A. de Ponte, M. H. Y. Moussa · 2009 · Physical Review A
  32. Extension of Nelsonʼs stochastic quantization to finite temperature using thermo field dynamics
    Keita Kobayashi, Y. Yamanaka · 2011 · Physics Letters A
  33. Stochastic Differential Equations and Inclusions with Mean Derivatives relative to the Past
    Svetlana V. Azarina, Yuri E. Gliklikh · 2009
  34. Wave-Particle Duality through a Hydrodynamic Model of the Fractal Space-Time Theory
    Maricel Agop, Petru-Edward Nica, Anca Harabagiu · 2008 · Acta Physica Polonica A
  35. Quantization in Financial Economics: An Information-Theoretic Approach
    Raymond J. Hawkins, B. Roy Frieden · 2017 · Palgrave Macmillan UK eBooks
  36. Vacuum Landscaping: Cause of Nonlocal Influences without Signaling
    Gerhard Grössing, Siegfried Fussy, J Mesa Pascasio, Herbert Schwabl · 2018 · Entropy
  37. On Stochastic Differential Inclusions with Current Velocities
    Yu. E. Gliklikh, Alla V. Makarova · 2015 · Journal of Computational and Engineering Mathematics
  38. Relativistic Hydrodynamic Interpretation of de Broglie Matter Waves
    Yuval Dagan · 2022 · Foundations of Physics
  39. Quantum-to-Classical Coexistence: Wavefunction Decay Kinetics, Photon Entanglement, and Q-Bits
    Piero Chiarelli · 2023 · Symmetry
  40. Stationary quantum Markov process for the Wigner function on a lattice phase space
    T. Hashimoto, M. Horibe, A. Hayashi · 2007 · Journal of Physics A Mathematical and Theoretical
  41. Estimation independence as an axiom for quantum uncertainty
    Agus Budiyono · 2020 · Physical Review A
  42. Nonlocal Quantum Potential Interpretation of Relativistic Actions at a Distance in Many-Body Problems
    Jean Pierre Vigier · 1985 · Springer eBooks
  43. Diffusion Action of Chemical Waves
    Jiřı́ Stávek · 2003
  44. Brownian Motion and the Stochastic Theory of Quantum Mechanics
    Emilio Santos · 1972 · Springer eBooks
  45. Van der Waals attraction in and between solids
    Dieter Langbein · 2007 · Advances in Solid State Physics
  46. Probability and Time Symmetry in Classical Markov Processes
    Guido Bacciagaluppi · 2010 · Springer eBooks
  47. Tunneling as a Classical Escape Rate Induced by the Vacuum Zero-point Radiation
    A. J. de Faria, H. M. França, R. C. Sponchiado · 2006 · Foundations of Physics
  48. Quantization in relativistic classical mechanics: the Stückelberg equation, neutrino oscillation and large-scale structure of the Universe
    V. D. Rusov, D S Vlasenko · 2012 · Journal of Physics Conference Series
  49. Comment on momentum in stochastic mechanics
    Simon Golin · 1986 · Journal of Mathematical Physics
  50. The correspondence limit of the atomic elliptic state
    Richard Durran, Andrew Neate, Aubrey Truman, Feng‐Yu Wang · 2008 · Europhysics Letters (EPL)
  51. Probabilités et fluctuations quantiques
    Michel Fliess · 2007 · Comptes Rendus Mathématique
  52. Quantum Mechanics and Imprecise Probability
    Bruno Galvan · 2008 · Journal of Statistical Physics
  53. A wavefunction description of quantum Fokker–Planck dissipation: derivation and numerical approximation of transient dynamics
    Pilar Guerrero, José Luis López, Jesús Montejo–Gámez · 2013 · Journal of Physics A Mathematical and Theoretical
  54. Limits of fractality: Zeno boxes and relativistic particles
    Lawrence S. Schulman · 2002 · Chaos Solitons & Fractals
  55. Chern–Simons solitons in quantum potential
    Oktay K. Pashaev, Jyh-Hao Lee · 2000 · Chaos Solitons & Fractals
  56. On the derivation and mathematical analysis of some quantum–mechanical models accounting for Fokker–Planck type dissipation: Phase space, Schrödinger and hydrodynamic descriptions
    José Luis López, Jesús Montejo–Gámez · 2013 · Nanoscale Systems Mathematical Modeling Theory and Applications
  57. On the divine clockwork: The spectral gap for the correspondence limit of the Nelson diffusion generator for the atomic elliptic state
    Richard Durran, Andrew Neate, Aubrey Truman, Feng-Yu Wang · 2008 · Journal of Mathematical Physics
  58. Enhanced diffusion and the continuous spontaneous localization model
    Léa Ferreira dos Santos, Carlos O. Escobar · 1999 · Physical Review A
  59. On the Description of Motion of a Quantum Particle in the Classical Gauge Field in the Language of Stochastic Mechanics
    Yuri E. Gliklikh, Н. В. Винокурова · 2011 · Communication in Statistics- Theory and Methods
  60. Stochastic Leontieff type equations with non-constant coefficients
    Yuri E. Gliklikh, E.Yu. Mashkov · 2014 · Applicable Analysis
  61. Lagrangians of stochastic mechanics
    Marc-Thierry Jaekel · 1990 · Journal of Physics A Mathematical and General
  62. Harmonically confined Tonks-Girardeau gas: A simulation study based on Nelson's stochastic mechanics
    Wolfgang Paul · 2012 · Physical Review A
  63. Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity
    Eduardo Antonio dos Reis, Gastão I. Krein, Tibério de Paula Netto, Ilya L. Shapiro · 2019 · Physics Letters B
  64. Derivation of the Schrödinger equation based on a fluidic continuum model of vacuum and a sink model of particles
    Xiaosong Wang · 2014 · Physics Essays
  65. On the divine clockwork: The spectral gap for the correspondence limit of the Nelson diffusion generator for the atomic elliptic state
    Richard Durran, Andrew Neate, Aubrey Truman, Feng‐Yu Wang · 2008 · Open Research Online (The Open University)
  66. Black body radiation and quantum fluctuations
    Giuseppe Gaeta · 1991 · Physics Letters A
  67. Geometric Quantum Mechanics
    Enrico Santamato · 1986 · NATO ASI series. Series B : Physics
  68. Macroscopic, intermediate, microscopic and mesons
    Masao Nagasawa · 2008 · Springer eBooks
  69. Phase-space dynamics and quantum mechanics
    Walter J. Deal · 1990 · Theoretical Chemistry Accounts
  70. A stochastic model for the motion of two relativistic particles
    Kh. Namsrai · 1981 · Journal of Physics A Mathematical and General
  71. Stochastic interpretations of nonrelativistic quantum theory
    Bernard H. Lavenda, Enrico Santamato · 1984 · International Journal of Theoretical Physics
  72. From classical mechanics to unitary propagation without quantization
    Garnet N. Ord · 2003 · Chaos Solitons & Fractals
  73. Instantons with noise: Equations for two-dimensional models
    Zbigniew Haba · 1986 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
  74. Discretization of the thermal excitation in highly excited matter
    Janina Marciak-kozlowska B, Mirosław Kozłowski · 1996 · Foundations of Physics Letters
  75. Covariance and stochastic mechanics
    Marc-Thierry Jaekel · 1988 · Journal de physique
  76. Quantum Mechanics, Stochasticity and Space-Time
    R Ramanathan · 1986 · Physica Scripta
  77. Relativistic Hamiltonian description of the classical photon behaviour: A basis to interpret aspect’s experiments
    Francis Halbwachs, Franco Piperno, Jean Pierre Vigier · 1982 · Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento
  78. Protective Measurement and the Meaning of the Wave Function
    Shan Gao · 2011 · PhilSci-Archive (University of Pittsburgh)
  79. Stochastic Motion of an Open Bosonic String
    Léa Ferreira dos Santos, C.O. Escobar, São Paulo São Paulo · 1998
  80. The Geometry of Thermodynamics III
    Luisberis Velazquez, Michael Charles Parker, Chris Jeynes · 2022 · Preprints.org
  81. Gaussian Decay Centrality: A quantum-inspired method for identifying important nodes in complex networks
    Yusong Liu, Haoming Guo, Xuefeng Yan · 2025 · Information Processing & Management
  82. On the Connection between Nelson’s Stochastic Quantum Mechanics and Nottale’s Theory of Scale Relativity
    Pierre-Henri Chavanis · 2024 · Axioms
  83. Can de Broglie–Bohm Mechanics Be Considered Complete?
    Aurélien Drezet, Arnaud Amblard · 2025 · Entropy
  84. On the Dual Structure of the Schrödinger Dynamics
    Kazuo Takatsuka · 2025 · Journal of the Physical Society of Japan
  85. Eulerian and Newtonian dynamics of quantum particles
    Sergey A. Rashkovskiy · 2013 · Progress of Theoretical and Experimental Physics
  86. Quantum mechanics from Newton's second law and the canonical commutation relation [ X , P ] = i
    Mark C. Palenik · 2014 · European Journal of Physics
  87. Probabilistic Modeling in Physics
    Claus Beisbart · 2011 · Oxford University Press eBooks
  88. The Geometrical Meaning of Spinors Lights the Way to Make Sense of Quantum Mechanics
    G. Coddens · 2021 · Symmetry
  89. Interference with Non-Interacting Free Particles and a Special Type of Detector
    Ioannis Contopoulos, Athanasios C. Tzemos, Foivos Zanias, G. Contopoulos · 2023 · Particles
  90. Thermal and Quantum Barrier Passage as Potential-Driven Markovian Dynamics
    Aleksei M. Zheltikov · 2023 · The Journal of Physical Chemistry B
  91. On the dynamics of a test particle in the field of the de Broglie gravitational waves
    Luca D’Errico, Elmo Benedetto, A. Feoli · 2023 · International Journal of Geometric Methods in Modern Physics
  92. Quantum Dynamics Framework with Quantum Tunneling Effect for Numerical Optimization
    Quan Tang, Peng Wang · 2025 · Entropy
  93. On the Interference of Fullerenes and Other Massive Particles
    Sue Sulcs, B. C. Gilbert, C.F. Osborne · 2002 · Foundations of Physics
  94. Quantum Dynamics and Kinematics from a Statistical Model Selected by the Principle of Locality
    Agung Budiyono · 2013 · International Journal of Theoretical Physics
  95. Probabilistic particle modeling of quantum wave propagation with reflection, transmission, and coupling
    Nobuyuki Hirami, Hisato Fujisaka, Takeshi Kamio · 2014 · IEEE International Symposium on Circuits and Systems proceedings
  96. An extended phase-space stochastic quantization of constrained Hamiltonian systems
    Gagik Ter-Kazarian, Y. Sobouti · 2008 · Journal of Physics A Mathematical and Theoretical
  97. On how the (1+1)-dimensional Dirac equation arises in classical physics
    D. G. C. McKeon, Garnet N. Ord · 1996 · Foundations of Physics Letters
  98. Quantum Mechanics is not Physical Reality But Mental Potentiality Because of the Law of Non-Contradiction
    Franz Klaus Jansen · 2015 · NeuroQuantology
  99. On the integrability of the nonlinear Schrödinger equation with randomly dependent linear potential
    Javier Villarroel, M. Pérez-Maldonado, Julia Prada · 2014 · Journal of Physics A Mathematical and Theoretical
  100. Macroscopic Oil Droplets Mimicking Quantum Behaviour: How Far Can We Push an Analogy?
    Louis Vervoort, Yves Gingras · 2015 · International Studies in the Philosophy of Science