Derivation of the Schrödinger Equation from Newtonian Mechanics

Cited by (1,000)

Items 901–1,000 of 1,000

1. Analytical and Numerical Treatments of Conservative Diffusions and the Burgers Equation
   Dimiter Prodanov · 2018 · Entropy
2. Unscrambling Subjective and Epistemic Probabilities
   Guido Bacciagaluppi · 2020 · Jerusalem studies in philosophy and history of science
3. On the hydrodynamics of nonlinear gauge-coupled quantum fluids
   Yvan Buggy, Lawrence Phillips, Patrik Öhberg · 2020 · The European Physical Journal D
4. Kelvin wave and knot dynamics on entangled vortices
   Su-Peng Kou · 2017 · International Journal of Modern Physics B
5. Path integral implementation of relational quantum mechanics
   Jianhao M. Yang · 2021 · Scientific Reports
6. Analytic continuation of stochastic mechanics
   Folkert Kuipers · 2022 · Journal of Mathematical Physics
7. Stochastic Equations and Inclusions with Mean Derivatives and Some Applications
   Yuri E. Gliklikh, Olga O. Zheltikova · 2013 · Methodology And Computing In Applied Probability
8. Connecting Bernoulli and Schrödinger Equations and Its Impact on Quantum-Mechanic Wave Function and Entanglement Problems
   Siavash H. Sohrab · 2021 · Springer proceedings in complexity
9. Regulation strategies based on quantum interference in electrical transport of single-molecule devices
   Ruihao Li, Junyang Liu, Wenjing Hong · 2022 · Acta Physica Sinica
10. On the statistics of coherent vortices in incoherent environments
    Tobias Bölle · 2023 · Physica A Statistical Mechanics and its Applications
11. The Radiation Field, at the Origin of the Quantum Canonical Operators
    Ana Marı́a Cetto, Luis de la Peña · 2024 · Foundations of Physics
12. A Local Interpretation of Quantum Mechanics
    Carlos Lopez · 2015 · Foundations of Physics
13. Stochastic quantization of an interacting classical particle system
    Antonio Maria Scarfone · 2007 · Journal of Statistical Mechanics Theory and Experiment
14. Quantum Decoherence Induced by Fluctuations
    Piero Chiarelli · 2016 · OALib
15. Quantizing Lévy flights
    Ruward A. Mulder, M. A. Caracanhas, C. Morais Smith · 2021 · Physical review. B./Physical review. B
16. Stability of Quantum Eigenstates and Collapse of Superposition of States in a Fluctuating Vacuum: The Madelung Hydrodynamic Approach
    Piero Chiarelli, Simone Chiarelli · 2021 · European Journal of Applied Physics
17. Particle Spin Described by Quantum Hamilton Equations
    Michael Beyer, Wolfgang Paul · 2022 · Annalen der Physik
18. Quantum mechanics as a stochastic process with aU(1) degree of freedom
    B. Rosenstein · 1984 · International Journal of Theoretical Physics
19. Model of the electron spin in stochastic physics
    Gianfranco Spavieri · 1990 · Foundations of Physics
20. Stochastic mechanics and nonlinear schrödinger equation
    Hans-Jürgen Mann · 1999 · Reports on Mathematical Physics
21. The underlying Brownian motion of nonrelativistic quantum mechanics
    Enrico Santamato, Bernard H. Lavenda · 1981 · Foundations of Physics
22. Quantum Dynamical Approach to Electron Transfers in DNA-Molecular Nanowires
    S Sakamoto, Yoshifumi Ohmachi, Mitsuyoshi Tomiya · 2007 · Journal of Physics Conference Series
23. Derivation of the relativistic ‘proper-time’ quantum evolution equations from canonical invariance
    Moshe Shapiro · 2008 · Journal of Physics A Mathematical and Theoretical
24. Connection between Langevin Quantization and Classical Mechanics
    M. Roncadelli · 1994 · Europhysics Letters (EPL)
25. A stochastic Hamilton-Jacobi theory in stochastic Hamiltonian mechanics for diffusion processes
    Tetsuya Misawa · 1987 · Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B
26. Processus complexe stochastique non standard en mécanique
    Michel Gondran · 2001 · Comptes Rendus de l Académie des Sciences - Series I - Mathematics
27. ASYMPTOTIC INFRARED FRACTAL STRUCTURE OF THE PROPAGATOR FOR A CHARGED FERMION
    S. GULZARI, J. SWAIN, A. WIDOM · 2006 · Modern Physics Letters A
28. Wilson-Sommerfeld quantization rule revisited
    S. Mukhopadhyay, K. Bhattacharyya, R.K. Pathak · 2001 · International Journal of Quantum Chemistry
29. Stochastic mechanics, non-local potentials and jump processes
    R. Vilela Mendes · 1985 · Physics Letters A
30. Simulation of Quantum Dynamics Based on the Quantum Stochastic Differential Equation
    Ming Li · 2013 · The Scientific World JOURNAL
31. On differential equations and inclusions with mean derivatives on a compact manifold
    Svetlana V. Azarina, Yuri E. Gliklikh · 2007 · Discussiones Mathematicae Differential Inclusions Control and Optimization
32. Probabilities in Realist Views of Quantum Mechanics
    Christopher G. Timpson · 2011 · Oxford University Press eBooks
33. Scale Relativistic signature in the Brownian motion of micro-spheres in optical traps
    Stephan LeBohec · 2017 · International Journal of Modern Physics A
34. Theoretical derivation of laser-dressed atomic states by using a fractal space
    Guillaume Duchateau · 2018 · The European Physical Journal Plus
35. Diffusion Process Representations for a Scalar-Field Schrödinger Equation Solution in Rotating Coordinates
    William M. McEneaney, Ruobing Zhao · 2018 · Springer INdAM series
36. Quantum Hamilton equations for multidimensional systems
    Michael Beyer, Markus Patzold, Wilfried Grecksch, Wolfgang Paul · 2019 · Journal of Physics A Mathematical and Theoretical
37. Variational formulation of compressible hydrodynamics in curved spacetime and symmetry of stress tensor
    Tomoi Koide C, Takeshi Kodama · 2020 · Journal of Physics A Mathematical and Theoretical
38. Typicality of Dynamics and Laws of Nature
    Aldo Filomeno · 2023 · Synthese Library/Synthese library
39. Quantum uncertainty relations and stochastic mechanics
    S. De Martino, Silvio De Siena · 1984 · Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B
40. Asymptotic Behaviour of Densities for Nelson Processes
    Nicola Cufaro Petroni · 1995 · Springer eBooks
41. The paleoclassical interpretation of quantum theory
    I. Schmelzer · 2011 · arXiv (Cornell University)
42. Stochastic description of extended hadrons
    Zbigniew Haba, Jerzy Lukierski B · 1977 · Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fields
43. Speculations on graviton-matter interaction
    G. F. Cerofolini · 1979 · Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento
44. Particle Theory of the Lamb Shift without Divergences or Cutoffs
    John E. Krizan · 1971 · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
45. Configuration Spaces for Quantum Spinning Particles
    Francesco Guerra, R. Marra · 1983 · Physical Review Letters
46. Conformal metric fluctuations and quantum mechanics
    J.L. Rosales, J. L. Sánchez‐Gómez · 1989 · Physics Letters A
47. Sufficiency conditions for existence of an optimal feedback control in stochastic mechanics
    Austin Blaquière · 1991 · Dynamics and Control
48. Why Quantum Diffusion is Nondissipative
    R. Ramanathan · 1985 · Physical Review Letters
49. Physical foundations of quantum theory: Stochastic formulation and proposed experimental test
    V. J. Lee · 1980 · Foundations of Physics
50. Euclidean massive spin-3 field which is markovian
    Sungbin Lim · 1978 · Physics Letters B
51. Random walk on the homogeneous spaces of a group and generalized coherent states
    Giorgio Bertotti, Mario Rasetti · 1984 · Physica A Statistical Mechanics and its Applications
52. Scattering into cones and flux across surfaces in quantum mechanics: A pathwise probabilistic approach
    Andrea Posilicano, Stefania Ugolini · 2002 · Journal of Mathematical Physics
53. Nonlinear diffusion and Nelson-Brown movement
    Andrzej Trzęsowski, Romuald Kotowski · 1985 · International Journal of Theoretical Physics
54. Electron-tunneling spectroscopy: A test of quantum mechanics
    Millard Baublitz · 1993 · Physical Review A
55. Hyperfinite quantum random walks
    Stanley Gudder · 1996 · Chaos Solitons & Fractals
56. Brisures de symetrie hierarchisant les niveaux d'organisation
    Alexandre Laforgue · 1992 · Acta Biotheoretica
57. A theory of emergent quantum mechanics
    Ricardo Gallego Torromé · 2014 · arXiv (Cornell University)
58. Stochastic mechanics at positive temperature
    R. Vilela Mendes · 1986 · Physics Letters A
59. Constrained dynamical optimal transport and its Lagrangian formulation
    Wuchen Li, Stanley Osher · 2018 · arXiv (Cornell University)
60. Neural networks as "hidden" variable models for quantum systems
    Steven J. Weinstein · 2018 · arXiv (Cornell University)
61. RENORMALIZED PATH INTEGRAL IN QUANTUM MECHANICS
    Robert Henderson, S. G. Rajeev · 1996
62. 1 REMARKS ON OSMOSIS, QUANTUM MECHANICS, AND GRAVITY
    Robert Carroll · 2016
63. Wave-particle duality in classical mechanics
    Alexander Y. Davydov · 2016
64. Bohm's quantum "non-mechanics": An alternative quantum theory with its own ontology?
    Ángel S. Sanz · 2021 · arXiv (Cornell University)
65. Stochastic Dynamics and the Semiclassical Limit of Quantum Mechanics
    Giovanni Jona-Lasinio · 1980 · Springer eBooks
66. Explicit Observers
    Otto E. Rössler · 1989 · Springer series in synergetics
67. ГЕОМЕТРИЗИРОВАННАЯ ФИЗИКА ВАКУУМА. ЧАСТЬ 7: «ЭЛЕКТРОН» И «ПОЗИТРОН»
    Mikhail Batanov-Gaukhman · 2024
68. Uncertainty Relations in the Madelung Picture
    Moise Bonilla–Licea, Dieter Schuch · 2021 · Entropy
69. On the Analytical Models of Protoplanetary Formation in Extrasolar Systems
    Alexander M. Krot · 2022 · Space Science & Technology
70. A Score-Based Approach for Training Schrödinger Bridges for Data Modelling
    Ludwig Winkler, César Ojeda, Manfred Opper · 2023 · Entropy
71. Information measures of quantum tunneling
    Aleksei M. Zheltikov · 2023 · Physical Review A
72. Relaxation to Quantum Equilibrium and the Born Rule in Nelson’s Stochastic Dynamics
    Vincent Hardel, Paul-Antoine Hervieux, Giovanni Manfredi · 2023 · Foundations of Physics
73. A Bird’s-Eye View on a New Stochastic Interpretation of Quantum Mechanics
    Olavo Leopoldino da Silva Filho, Marcello Caio Ramon e Barros Ferreira · 2025 · Mathematics
74. Invariant Forms of Conservation Equations for Reactive Fields and Hydro-Thermo-Diffusive Theory of Laminar Flames
    Siavash H. Sohrab · 2014 · Journal of Energy Resources Technology
75. Study on a Possible Darwinian Origin of Quantum Mechanics
    Carlos Baladrón · 2010 · Foundations of Physics
76. STOCHASTIC PROCESSES ON GROUPS OF DIFFEOMORPHISMS AND VISCOUS HYDRODYNAMICS
    Ya. I. Belopolskaya, Yu. E. Gliklikh · 2002 · Infinite Dimensional Analysis Quantum Probability and Related Topics
77. Random waves in a classical nonlinear Grassmann field
    Seth Putterman, Paul Harry Roberts · 1985 · Physica A Statistical Mechanics and its Applications
78. Two-time correlation functions: stochastic and conventional quantum mechanics
    L. Feligioni, Orlando Panella, Yogendra Narain Srivastava, A. Widom · 2005 · The European Physical Journal B
79. Potential Functions and the Characterization of Economics-Based Information
    Emmanuel E. Haven · 2015 · Foundations of Physics
80. Quantum Behavior of a Classical Particle Subject to a Random Force
    Can Gokler · 2021 · Foundations of Physics
81. New Concept for Studying the Classical and Quantum Three-Body Problem: Fundamental Irreversibility and Time’s Arrow of Dynamical Systems
    Ashot S. Gevorkyan · 2020 · Particles
82. Relevance of stochasticity for the emergence of quantization
    A. M. Cetto, L. de la Peña, Andrea Valdés-Hernández · 2021 · The European Physical Journal Special Topics
83. Time discretizations of Wasserstein–Hamiltonian flows
    Jianbo Cui, Luca Dieci, Haomin Zhou · 2022 · Mathematics of Computation
84. Stochastic Variational Method for Viscous Hydrodynamics
    Takeshi Kodama, Tomoi Koide C · 2022 · Physics
85. A Proposed Interpretation of the Wave–Particle Duality
    Kurt Jung · 2022 · Entropy
86. Inverse relationship between diffusion coefficient and mass for a free particle system: Approach by using maximum caliber principle and Monte Carlo simulations
    Diego González · 2022 · Chaos An Interdisciplinary Journal of Nonlinear Science
87. Michelson–Morley experiments: At the crossroads of relativity, cosmology and quantum physics
    M. Consoli, Alessandro Pluchino · 2023 · International Journal of Modern Physics A
88. Tuneable Sum-Frequency Generation and Spectral Broadening Based on Proton-Exchanged Thin-Film Lithium Niobate Ridge Waveguide
    Congliao Yan, Yulei Huang, Daoyong Wang, Shutong Wang, Hao Zhou, Guoliang Deng, Sha Wang · 2024 · ACS Photonics
89. Derivation of Dirac equation from the stochastic optimal control principles of quantum mechanics
    Vasil G. Yordanov · 2024 · Scientific Reports
90. Galilean relativity and wave-particle duality imply the Schrödinger equation
    Gustavo Rigolin · 2024 · Physical Review A
91. Inequivalence of stochastic and Bohmian arrival times in time-of-flight experiments
    Pascal Naidon · 2024 · Physical Review A
92. Travel time of a quantum particle through a given domain
    Андрей Игоревич Кириллов, Evgenii Valer'evich Polyachenko · 1999 · Theoretical and Mathematical Physics
93. Reformulating classical and quantum mechanics in terms of a unified set of consistency conditions
    Robert F. Bordley · 1983 · International Journal of Theoretical Physics
94. Modeling of lightly-doped drain and source contact with boron and nitrogen in graphene nanoribbon
    Kien Liong Wong, Beng Rui Tan, Mu Wen Chuan, Afiq Hamzah, Shahrizal Rusli, Nurul Ezaila Alias, Suhana Mohamed Sultan, Cheng Siong Lim, Michael Loong Peng Tan · 2019 · Chinese Journal of Physics
95. DYNAMICS IN FRACTAL SPACES
    ÁLVARO G. LÓPEZ · 2020 · Fractals
96. Particle dynamics in a relativistic invariant stochastic medium
    Alejandro Cabo-Bizet, Alejandro Cabo Montes de · 2006 · Physics Letters A
97. Bessel Process and Conformal Quantum Mechanics
    M. A. Rajabpour · 2009 · Journal of Statistical Physics
98. Momentum in stochastic quantum mechanics
    Mark P. Davidson · 1981 · Letters in Mathematical Physics
99. Fluid Lagrangian approach to the classical-quantum transition
    Tzihong Chiueh · 2000 · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
100. Diffusion of Individual Brownian Particles through Youngs Double-Slits
     Jiřı́ Stávek · 2004