Quantum Fluctuations

Quantum Behavior of a Classical Particle Subject to a Random Force

Gokler, C. (2021) · Foundations of Physics · doi:10.1007/s10701-021-00422-3 · Cited by 3

Martingale and Markov Uniqueness of Infinite Dimensional Nelson Diffusions

Wu, L. (2001) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4612-0127-4_9 · Cited by 1

On first hitting times in stochastic mechanics

Batchelor, A., & Truman, A. (1988) · Lecture notes in mathematics · doi:10.1007/bfb0077912 · Cited by 1

Girsanov and Feynmann-Kac formulas in the discrete stochastic mechanics

Grosso, G. D., & Marra, R. (1986) · Lecture notes in control and information sciences · doi:10.1007/bfb0041160 · Cited by 1

Some remarks on classical, quantum and stochastic dynamical systems

Albeverio, S. A., Arede, T., & Hilbert, A. (2008) · Springer eBooks · doi:10.1007/3-540-52347-2_20 · Cited by 1

Numerical studies of electron transfers in two-dimensional multiple quantum dots

Kusumoto, H., Sakamoto, S., & Tomiya, M. (2008) · Applied Surface Science · doi:10.1016/j.apsusc.2008.02.043 · Cited by 1

Stochastic quantisation of a gauge field in the infrared-soft flow gauges

Lim, S. (1988) · Letters in Mathematical Physics · doi:10.1007/bf00402017 · Cited by 1

Solutions of Fokker-Planck equations appearing in the stochastic representation of nonrelativistic quantum mechanics

Olariu, S. (1987) · Physical Review A · doi:10.1103/physreva.36.1874 · Cited by 1

Lévy's stochastic area in stochastic mechanics

de Falco, D. (1987) · Letters in Mathematical Physics · doi:10.1007/bf00403468 · Cited by 1

Stochastic Mechanics: Quantum Fluctuations . Edward Nelson. Princeton University Press, Princeton, N.J., 1985. viii, 146 pp. $32; paper, $12.95. Princeton Series in Physics.

Challifour, J. L. (1985) · Science · doi:10.1126/science.229.4714.645 · Cited by 1

Born's rule for momentum measurement from prequantum field theory

Khrennikov, A. Y. (2009) · Journal of Physics Conference Series · doi:10.1088/1742-6596/174/1/012035 · Cited by 1

Velocity of propagation in diffusional quantum theory

Kostin, M. D. (1986) · Journal of Statistical Physics · doi:10.1007/bf01021095 · Cited by 1

From “Matter-Energy” to “Irreducible Information Processing”: Arguments for a Paradigm Shift in Fundamental Physics

Requardt, M. (1992) · Springer eBooks · doi:10.1007/978-3-642-77211-5_7 · Cited by 1

Stochastic motion of an open bosonic string

Santos, L. F., & Escobar, C. O. (1999) · Physics Letters A · doi:10.1016/s0375-9601(99)00231-5 · Cited by 1

Stochastic Aspects of the Quantum Dynamics

Garbaczewski, P. (1994) · Springer eBooks · doi:10.1007/978-1-4615-2564-6_27 · Cited by 1

Stochastic analysis, groups of diffemorphisms and lagrangian description of viscous incompressible fluid

Gliklikh, Y. E. (1992) · Lecture notes in mathematics · doi:10.1007/bfb0084712 · Cited by 1

A Quantum Mechanical Financial Time Series ModelPreprint

Hirano, K. (2021) · SSRN Electronic Journal · doi:10.2139/ssrn.3843517 · Cited by 1

Derivation of the Schrödinger Equation from Fundamental Principles

Zhang, W., & Svidzinsky, A. A. (2026) · Encyclopedia · doi:10.3390/encyclopedia6020041 · Cited by 1

Bohmian Mechanics on Scattering Theory

Dürr, D., & Teufel, S. (2009) · Springer eBooks · doi:10.1007/b99978_16

Separable Recurrent Neural Networks Treated with Stochastic Velocities

Castellanos-Moreno, A. (2003) · Lecture notes in computer science · doi:10.1007/3-540-44868-3_69

Energy and Momentum Conservation for Diffusion - a Stochastic Mechanics Approximation - Part IPreprint

Beumee, J. G. B. (2006) · SSRN Electronic Journal · doi:10.2139/ssrn.934570

Multidimensional Toroidal Compactification with Random Gaussian Modulus: Derivation and Potential Applications of a Stochastic General Relativity

Miller, S. D., & Miller, A. G. (2001) · General Relativity and Gravitation · doi:10.1023/a:1010282929318

Are Dirac Electrons Faster than Light?

Angelis, G. F. D. (1986) · NATO ASI series. Series B : Physics · doi:10.1007/978-1-4684-5221-1_16

Indeterminacy relations in stochastic mechanics

Golin, S. (1986) · Lecture notes in physics · doi:10.1007/3540171665_72

On the role of nonlinearities in classical electrodynamics

Galgani, L. (2006) · Springer eBooks · doi:10.1007/bfb0035666

Semimartingale with smooth density — The problem of "nodes"

Zheng, W. (1987) · Lecture notes in mathematics · doi:10.1007/bfb0077368

Quantum theory of an electromagnetic observer: Classically behaving macroscopic systems and the emergence of the classical world in quantum electrodynamics

Plimak, L. I., Ivanov, M., Aiello, A., et al. (2015) · Physical Review A · doi:10.1103/physreva.92.022122

Density-functional method for very large systems with LCAO basis sets

Sánchez‐Portal, D., Ordejón, P., Artacho, E., & Soler, J. M. (1997) · International Journal of Quantum Chemistry · doi:10.1002/(sici)1097-461x(1997)65:5 · Cited by 1,558

Quantisation of a gauge field in the temporal-like gauge based on stochastic mechanics

Lim, S. (1988) · The European Physical Journal C · doi:10.1007/bf01412590

Classical spin in a potential field

Ord, G. N., & Deakin, A. S. (1997) · International Journal of Theoretical Physics · doi:10.1007/bf02435957

Propagator in the fully fixed temporal gauge

Lim, S. (1988) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.37.3765

Stochastic quantisation of a gauge field in the spatial axial gauge

Lim, S. (1990) · Letters in Mathematical Physics · doi:10.1007/bf01045881

Stochastic differential inclusions in terms of infinitesimal generators and mean derivatives

Azarina, S. V., & Gliklikh, Y. E. (2009) · Applicable Analysis · doi:10.1080/00036810802556795

Applications of stochastic mechanics to polyatomic lattices

Beumee, J. G. B., Vilallonga, E. F., & RABITZ, H. A. (1990) · Physical Review A · doi:10.1103/physreva.41.2932

IRROTATIONAL MOMENTUM FLUCTUATIONS CONDITIONING THE QUANTUM NATURE OF PHYSICAL PROCESSES

Tzenov, S. I. (2006) · International Journal of Modern Physics A · doi:10.1142/s0217751x06033866

Path-Integral Calculations for the First Excited State of Hydrogen Atom

Korzeniowski, A. (1999) · Methodology And Computing In Applied Probability · doi:10.1023/a:1010082327048

A liapunov-type theorem for nelson diffusions and nonattainability of nodes

Posilicano, A. (1995) · Stochastic Analysis and Applications · doi:10.1080/07362999508809385

MESOSCOPIC DESCRIPTION OF DYNAMICAL SYSTEMS: HIERARCHY OF RECURSIVE EQUATIONS FOR THE MOMENTS OF THE DENSITY DISTRIBUTION WITH AN APPLICATION TO CHARGED PARTICLE BEAM DYNAMICS

Martino, S. D., Siena, S. D., Fedele, R., et al. (2004) · International Journal of Modern Physics B · doi:10.1142/s0217979204024276

Mean Derivatives in Linear Spaces

Gliklikh, Y. E. (2010) · Theoretical and mathematical physics · doi:10.1007/978-0-85729-163-9_8

Random Path Quantization

Roncadelli, M. (1995) · Springer eBooks · doi:10.1007/978-94-011-0029-8_33

Stochastic Mechanics and the Kepler Problem: Scattering States

Garbaczewski, P., & Prorok, D. (1987) · Fortschritte der Physik/Progress of Physics · doi:10.1002/prop.2190351104

Continuity of trajectories of random walks with infinitesimal steps

Benoit, E. P., Candelpergher, B., & Lobry, C. (2006) · Springer eBooks · doi:10.1007/bfb0041215

The Ehrenfest Theorem for Markov Diffusions

Garbaczewski, P. (1995) · Springer eBooks · doi:10.1007/978-94-011-0169-1_5

Взгляд на группирование и антигруппирование с точки зрения классических сигналов

Хренников, А. Ю., & Khrennikov, A. Y. (2012) · Теоретическая и математическая физика · doi:10.4213/tmf6934

On Existence of Solutions to Stochastic Differential Equations with Osmotic Velocities

Gliklikh, Y. E., & Samsonova, K. (2016) · Journal of Computational and Engineering Mathematics · doi:10.14529/jcem1602004

Extended Ehrenfest theorem with radiative corrections

de la Peña, L., Cetto, A. M., & Valdés-Hernández, A. (2015) · Physica Scripta · doi:10.1088/0031-8949/2015/t165/014004

Relativistic causality versus superluminal communication: Is the quantum mechanics a semi-empirical theory?

Chiarelli, P. (2015) · International Journal of the Physical Sciences · doi:10.5897/ijps2014.4239

The Newton–Nelson Equation on Fiber Bundles with Connections

Gliklikh, Y. E., & Vinokurova, N. V. (2017) · Journal of Mathematical Sciences · doi:10.1007/s10958-017-3479-0

Существование решений в $\mathbb{R}^n$ для стохастических дифференциальных включений с текущими скоростями при наличии аппроксимаций с равномерно ограниченными первыми частными производными

Makarova, A. V., Makarova, A. V., Демчук, А. А., et al. (2017) · Вестник Самарского государственного технического университета Серия Физико-математические науки · doi:10.14498/vsgtu1532

Stochastic motion underG-framework: II. Kinematics

Zhang, H., & Kannan, D. (2017) · Stochastic Analysis and Applications · doi:10.1080/07362994.2017.1354708

Connection Between Optimal Risk-Sensitive Filtering and Contro for Third Degree Stochastic Polynomial Systems

García, M. A. A., Torres, M. T., Elizondo-Villarreal, N., et al. (2017) · International Conference on Mechatronics, Electronics and Automotive Engineering (ICMEAE) · doi:10.1109/icmeae.2017.14

Stochastic Inclusions with Current Velocities Having Decomposable Right-Hand Sides

Gliklikh, Y. E., & Makarova, A. V. (2018) · Journal of Computational and Engineering Mathematics · doi:10.14529/jcem180203

Numeration as a Factor Relating the Quantum and Classical Mechanics of Ideal Gases

Маслов, В. П. (2018) · Russian Journal of Mathematical Physics · doi:10.1134/s106192081804009x

On Global in Time Existence of Solutions to Stochastic Equations with Backward Mean Derivatives

Gliklikh, Y. E., & Захаров, Н. В. (2018) · Journal of Computational and Engineering Mathematics · doi:10.14529/jcem180406

CHSH-Type Inequality Involving Commuting Continuous Variables

Valdés-Hernández, A., Cetto, A. M., & de la Peña, L. (2019) · Atoms · doi:10.3390/atoms7020046

Non-linear Optimal Filter and Control with Tracking vs Pid Applied to an Electric Resistance System

García, M. A. A., Martinez-Flores, M. M., Mendez-Diaz, S., et al. (2018) · International Conference on Mechatronics, Electronics and Automotive Engineering (ICMEAE) · doi:10.1109/icmeae.2018.00038

Quantum Trajectories in Entropic Dynamics

Carrara, N. (2019) · International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering (MaxEnt) · doi:10.3390/proceedings2019033025

Approximate controllability analysis on nonlinear fractional evolution equations

Cai, R., Chen, Y., & Kou, C. (2019) · Chinese Control Conference (CCC) · doi:10.23919/chicc.2019.8865432

Singular Stochastic Leontieff Type Equation in Current Velocities of Solutions

Mashkov, E. Y., & Tyutyunov, D. N. (2019) · Bulletin of the South Ural State University Series Mathematical Modelling Programming and Computer Software · doi:10.14529/mmp190105

On approach for studying stochastic Leontief type equations with impulse actions

Mashkov, E. Y. (2020) · Ufimskii Matematicheskii Zhurnal · doi:10.13108/2020-12-3-50

When Risks and Uncertainties Collide: Quantum Mechanical Formulation of Mathematical Finance for Arbitrage MarketsPreprint

Farinelli, S., & Takada, H. (2019) · SSRN Electronic Journal · doi:10.2139/ssrn.3404437

Entropic Dynamics Yields Reciprocal Relations

Pessoa, P. (2021) · Lecture notes in computer science · doi:10.1007/978-3-030-80209-7_26

On Solutions of Stochastic Equations with Current and Osmotic Velocities

Gliklikh, Y. E. (2021) · Springer proceedings in mathematics & statistics · doi:10.1007/978-3-030-76829-4_8

Non-standard Quantum Interpretations

(2007) · Springer eBooks · doi:10.1007/978-0-387-71520-9_10

Topics in Quantum Hydrodynamics: The Stress Tensor and Vorticity

(2006) · Springer eBooks · doi:10.1007/0-387-28145-2_13

Einstein’s Approaches to Quantum Theory 1925-1935

(2007) · Springer eBooks · doi:10.1007/978-0-387-71520-9_5

The Post-War Heresies

Wick, D. (1995) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4612-5361-7_10

Stochastic Mechanics

Petroni, N. C. (2020) · UNITEXT for physics · doi:10.1007/978-3-030-48408-8_10

Eliminating the Wavefunction from Quantum Dynamics: The Bi-Hamilton–Jacobi Theory, Trajectories and Time Reversal

Holland, P. (2022) · Foundations of Physics · doi:10.1007/s10701-022-00640-3

Stochastic Processes in the Decades after 1950

Meyer, P. A., & Shafer, G. R. (2022) · Trends in the history of science · doi:10.1007/978-3-031-05988-9_8

The Albeverio–Høegh-Krohn Paradox in Nelson Stochastic Mechanics

Guerra, F. (2023) · Springer proceedings in mathematics & statistics · doi:10.1007/978-3-031-14031-0_2

A path integral approach to quantum fluid dynamics: application to double well potential

Ghosh, S., Ghosh, S. K., Ghosh, S. K., et al. (2023) · Theoretical Chemistry Accounts · doi:10.1007/s00214-023-02995-w

A STOCHASTIC ALGEBRAIC-DIFFERENTIAL EQUATION OF THE NEWTON-NELSON TYPE

Gliklikh, Y. E., & Ryazantsev, M. Y. (2024) · Journal of Mathematical Sciences · doi:10.1007/s10958-024-07092-2

On Multi-Time Correlations in Stochastic Mechanics

Derakhshani, M., & Bacciagaluppi, G. (2024) · Boston studies in the philosophy of science · doi:10.1007/978-3-031-49861-9_5 · Cited by 4

Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems

Dappiaggi, C., Finster, F., Kamran, N., et al. (2025) · Annales Henri Poincaré · doi:10.1007/s00023-025-01593-9

MARTINGALES ON THE GROUPS OF DIFFEOMORPHISMS AND THE FLOWS OF FLUIDS ON FLAT n-DIMENSIONAL TORUS

Gliklikh, Y. E. (2025) · Journal of Mathematical Sciences · doi:10.1007/s10958-025-07723-2

Predictions of stochastic composite gravity

Erlich, J. (2025) · International Journal of Modern Physics D · doi:10.1142/s0218271825440304

Conceptual Analog to Wave Interference with Discrete Particles

Contopoulos, I., & Chaniadakis, E. (2025) · Universe · doi:10.3390/universe11120407

Stochastic calculus of variations revisited

Yasue, K. (2006) · Springer eBooks · doi:10.1007/bfb0041177

Stochastic Systems with Addional Weighted Noise

Bellomo, N., Brzeźniak, Z., & de Socio, L. M. (1992) · Springer eBooks · doi:10.1007/978-94-011-1820-0_4

Derivation of the Gravitational Field Equations for a Condensing Cosmogonical Body and Investigation of Gravitational Wave Instability Based on the Statistical Theory

Krot, A. M. (2026) · Springer proceedings in complexity · doi:10.1007/978-3-031-98173-9_6

A solution of the quantum time of arrival problem via mathematical probability theory

Reddiger, M. (2026) · The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics · doi:10.1080/14786435.2026.2627725

Quantum Fluctuations of a Levitated Nanoparticle: An Analysis Within Nelson's Stochastic Mechanics Reformulation of Quantum Theory

Henk, K.-H., & Paul, W. (2026) · Annalen der Physik · doi:10.1002/andp.202500279

Emulation of large-scale qubit registers with a phase-space approach

de Correc, C., Denis Lacroix, A., & Bertrand, C. (2026) · APS Open Science · doi:10.1103/swn6-s387

The Coercivity Law of Enaction Within Fisher-Generative Informational Realism: A Cybernetic Threshold for Autopoietic Closure

Yolles, M. I., & Lin, C.-K. (2026) · Systems · doi:10.3390/systems14091132 · Cited by 1

Lagrangian Fields and Noether Conservation Laws on Stochastic Structures

Popov, G., & Dzyuba, V. (2026) · Journal of Experimental and Theoretical Physics · doi:10.1134/s106377612660073x

Dynamical Aspects of Classical Electron Theory

Bambusi, D., Carati, A., Galgani, L., et al. (1997) · NATO ASI series. Series B : Physics · doi:10.1007/978-1-4899-0081-4_16

Two Remarks on the Physical Content of Stochastic Mechanics

Golin, S. (1986) · NATO ASI series. Series B : Physics · doi:10.1007/978-1-4684-5221-1_55

Stochasticity in Nature, and Its Consequences

Barrows, E. C. (1991) · Springer eBooks · doi:10.1007/978-94-011-3460-6_18

ИСПОЛЬЗОВAНИЕ ПОТЕНЦИAЛA СОЦИAЛЬНЫХ ПAРТНЕРОВ В ПОДГОТОВКЕ БУДУЩИХ ПЕДAГОГОВ

Атабекова, Б. Б. (2024) · Habaršy. Pedagogika ġylymdary seriâsy · doi:10.51889/2959-5762.2023.80.4.019

IDENTIFIKASI MODE RUSAK JAMAK (MULTI-FAULTS) BANTALAN MENGGUNAKAN ANALISIS ENVELOPE PADA TURBIN ANGIN Horizontal Axis

Firliandika, C. (2018)

ANALISIS PERLAKUAN AKUNTANSI PRODUK RUSAK PADA PT. AJINOMOTO INDONESIA MOJOKERTO FACTORY

Lisdyawati, E., Hariyadi, M., & Desipradani, S. P. G. (2017)

Perbedaan Kinerja Karyawan Sebelum dan Sesudah Penerapan Uraian Pekerjaan

Dewi, L. L. (2001)

EVALUASI PERLAKUAN AKUNTANSI HARGA POKOK PRODUK RUSAK PADA PT. MULIAPRIMA REPLICATAMA SEMARANG

DAMIAN, M. A. (2000) · Unika Repositor (Unika)