Quantum Fluctuations

Annihilation and creation operators in stochastic quantization

Fukumi, T. (1989) · Physical Review A · doi:10.1103/physreva.40.530 · Cited by 3

COSMIC ORIGIN OF QUANTIZATION

Calogero, F. (2004) · International Journal of Modern Physics B · doi:10.1142/s0217979204024136 · Cited by 3

A Local-Realistic Model of Quantum Mechanics Based on a Discrete Spacetime

Sciarretta, A. (2017) · Foundations of Physics · doi:10.1007/s10701-017-0129-9 · Cited by 3

Path integral implementation of relational quantum mechanics

Yang, J. M. (2021) · Scientific Reports · doi:10.1038/s41598-021-88045-6 · Cited by 4

Stochastic Leontieff Type Equations in Terms of Current Velocities of the Solution II

Gliklikh, Y. E., & Mashkov, E. Y. (2016) · Bulletin of the South Ural State University Series Mathematical Modelling Programming and Computer Software · doi:10.14529/mmp160303 · Cited by 3

Quantum Interference, Quantum Theory of Measurement, and (In)completeness of Quantum Mechanics

Božić, M., & Marić, Z. (1998) · Foundations of Physics · doi:10.1023/a:1018712011063 · Cited by 3

Causal interpretation of the modified Klein-Gordon equation

Kaloyerou, P. N. (1995) · Foundations of Physics · doi:10.1007/bf02057461 · Cited by 3

A Model for Urban Growth Processes with Continuum State Cellular Automata and Related Differential EquationsPreprint

Vancheri, A., Giordano, P., Andrey, D., et al. (2004) · SSRN Electronic Journal · doi:10.2139/ssrn.633969 · Cited by 3

Quantum Mechanics Based on Probability Wave Functions Induced by the Minimum Mean Deviation from Statistical Equilibrium. I

Guiaşu, S. (1998) · International Journal of Theoretical Physics · doi:10.1023/a:1026641102038 · Cited by 3

Stochastic geometry, random zero point field and quantum correction to the metric

Roy, S. (1992) · Acta Applicandae Mathematicae · doi:10.1007/bf00047203 · Cited by 3

Quantum mechanics on a space-time lattice using path integrals in a minkowski metric

Hrgovčić, H. J. (1994) · International Journal of Theoretical Physics · doi:10.1007/bf00672817 · Cited by 3

Variational extensions of classical mechanics: stochastic and quantum dynamics

Villani, M. (2004) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/37/6/030 · Cited by 3

From quantum physics to probability theory and back

Zambrini, J.-C. (2008) · Springer eBooks · doi:10.1007/3-540-60188-0_68 · Cited by 3

A route to stochastic mechanics

Angelis, G. F. D. (1986) · Lecture notes in physics · doi:10.1007/3540171665_63 · Cited by 3

On the applicability of Kolmogorov’s theory of probability to the description of quantum phenomena. Part I: foundations

Reddiger, M. (2025) · Quantum Studies Mathematics and Foundations · doi:10.1007/s40509-025-00375-6 · Cited by 2

Stochastic Theories and Deterministic Differential Equations

Moxnes, J. F., & Hausken, K. (2010) · Advances in Mathematical Physics · doi:10.1155/2010/749306 · Cited by 2

Remarks on Osmosis, Quantum Mechanics, and Gravity

Carroll, R. (2012) · Journal of Physics Conference Series · doi:10.1088/1742-6596/361/1/012010 · Cited by 2

Spectral Properties of Stochastic Processes Possessing Finite Propagation Velocity

Giona, M., Cairoli, A., Cocco, D., et al. (2022) · Entropy · doi:10.3390/e24020201 · Cited by 2

Quantum Bohmian-Inspired Potential to Model Non–Gaussian Time Series and Its Application in Financial Markets

Hosseini, R., Tajik, S., Lai, Z. K., et al. (2023) · Entropy · doi:10.3390/e25071061 · Cited by 2

(Nonequilibrium) Dynamics of Diffusion Processes with Non-conservative Drifts

Garbaczewski, P., & Żaba, M. (2024) · Journal of Statistical Physics · doi:10.1007/s10955-024-03276-x · Cited by 2

Motion of Quantum Particles in Terms of Probabilities of Paths

Santos, E. (2025) · Entropy · doi:10.3390/e27070728 · Cited by 2

Graded paraparticle algebra of Majorana fields for multidimensional quantum computing with structured light

Tamburini, F., Leone, N., Sanna, M., & Siagri, R. (2025) · Physical Review Research · doi:10.1103/kbkl-9m9l · Cited by 4

Theory of Stochastic Schrödinger Equation in Complex Vector Space

Muralidhar, K. (2017) · Foundations of Physics · doi:10.1007/s10701-017-0076-5 · Cited by 3

On Jacobi polynomials and fractional spectral functions on compact symmetric spaces

Awonusika, R. O. (2021) · The Journal of Analysis · doi:10.1007/s41478-020-00292-4 · Cited by 2

Stochastic quantization of finite dimensional systems with electromagnetic interactions

Morato, L. M., & Ugolini, S. (2011) · Stochastics · doi:10.1080/17442508.2010.512975 · Cited by 2

Risk-sensitive control design and application to monoaxial satellite

Ma. Aracelia Alcorta, G., Basin, M., R., S. G. A., et al. (2010) · IEEE International Conference on Industrial Technology (ICIT) · doi:10.1109/icit.2010.5472490 · Cited by 2

Optimal risk-sensitive controller for second degree stochastic polynomial systems

Torres, M. T., & Alcorta, G. M. A. (2012) · International Conference on Methods and Models in Automation and Robotics · doi:10.1109/mmar.2012.6347836 · Cited by 2

Wave cybernetics: A simple model of wave-controlled nonlinear and nonlocal cooperative phenomena

Yasue, K. (1988) · Physical Review A · doi:10.1103/physreva.38.2671 · Cited by 2

Application of nonlinear risk-sensitive optimal control equations to excitable noise system

García, M. A. A., Rostro, S. G. A., Alemán, Y. N., et al. (2014) · International Conference on Methods and Models in Automation and Robotics · doi:10.1109/mmar.2014.6957470 · Cited by 2

Kinetic derivation of the hydrodynamic equations for capillary fluids

Martino, S. D., Falanga, M., Lauro, G., et al. (2004) · Physical Review E · doi:10.1103/physreve.70.067301 · Cited by 2

Two types of potential functions and their use in the modeling of information: two applications from the social sciences

Haven, E. E. (2015) · Frontiers in Psychology · doi:10.3389/fpsyg.2015.01513 · Cited by 2

Dispersion of overdamped diffusing particles in channel flows coupled to transverse acoustophoretic potentials: Transport regimes and scaling anomalies

Giona, M., & Garofalo, F. (2015) · Physical Review E · doi:10.1103/physreve.92.032104 · Cited by 2

On existence of optimal solutions for stochastic differential equations and inclusions with current velocities

Gliklikh, Y. E., Makarova, A. V., & Zheltikova, O. O. (2016) · Applicable Analysis · doi:10.1080/00036811.2016.1253066 · Cited by 2

A control-theoretic interpretation of the Schrödinger equation

Ohsumi, A. (2017) · Annual Conference of the Society of Instrument and Control Engineers of Japan (SICE) · doi:10.23919/sice.2017.8105436 · Cited by 2

Modeling and Identification of Discrete Second-Order Systems via Stochastic Mechanics

Ohsumi, A. (2012) · Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications · doi:10.5687/sss.2012.35 · Cited by 2

О полноте стохастических потоков, порожденных уравнениями с текущими скоростями

Gliklikh, Y. E., & Shchichko, T. A. (2019) · Теория вероятностей и ее применения · doi:10.4213/tvp5230 · Cited by 2

Hopf–Cole Transformation and Schrödinger Problems

Léger, F., & Li, W. (2019) · Lecture notes in computer science · doi:10.1007/978-3-030-26980-7_76 · Cited by 2

Where Does Quanta Meet Mind?

de Barros, J. A., & Montemayor, C. (2019) · Synthese Library/Synthese library · doi:10.1007/978-3-030-21908-6_5 · Cited by 2

Differential inclusions with mean derivatives having extreme right-hand sides and optimal control

Gliklikh, Y. E., & Zheltikova, O. O. (2019) · Applicable Analysis · doi:10.1080/00036811.2019.1672870 · Cited by 2

О разрешимости стохастических дифференциальных уравнений с осмотическими скоростями

Gliklikh, Y. E. (2020) · Теория вероятностей и ее применения · doi:10.4213/tvp5335 · Cited by 2

Dynamical Schrödinger Bridge Problems on Graphs

Chow, S.-N., Li, W., Mou, C., et al. (2021) · Journal of Dynamics and Differential Equations · doi:10.1007/s10884-021-09977-1 · Cited by 2

Тезисы докладов, представленных на Третьей Международной конференции по стохастическим методам

(2019) · Теория вероятностей и ее применения · doi:10.4213/tvp5257 · Cited by 2

Uncertainty Relations in the Madelung Picture Including a Dissipative Environment

Schuch, D., & Bonilla–Licea, M. (2023) · Entropy · doi:10.3390/e25020312 · Cited by 2

Path Integral Spin Dynamics for Quantum Paramagnets

Nussle, T., Thibaudeau, P., & Nicolis, S. (2024) · Advanced Physics Research · doi:10.1002/apxr.202400057 · Cited by 2

Complete Positivity and Open Quantum Systems

Rebolledo, R. (2001) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4612-0127-4_7 · Cited by 2

The Phenomenological Stochastic Approach: A Short Route to Quantum Mechanics

de la Peña, L., Cetto, A. M., & Hernández, A. V. (2014) · Springer eBooks · doi:10.1007/978-3-319-07893-9_2 · Cited by 2

Quantum Versus Stochastic Processes and the Role of Complex Numbers

Anastopoulos, C. (2003) · International Journal of Theoretical Physics · doi:10.1023/a:1025706632036 · Cited by 2

Generalized Nonlinear Schrödinger Equations in Quantum Fluid Dynamics

Deb, B., & Chattaraj, P. K. (1988) · Springer series in nonlinear dynamics · doi:10.1007/978-3-642-73193-8_24 · Cited by 2

Some Implications of Invariant Model of Boltzmann Statistical Mechanics to the Gap Between Physics and Mathematics

Sohrab, S. H. (2020) · Springer proceedings in complexity · doi:10.1007/978-3-030-39515-5_19 · Cited by 2

Monitoring particle trajectories for wave function parameter aquisition in quantum edge computation

Itami, T., Matsui, N., Isokawa, T., Kouda, N., & Hashimoto, T. (2021) · SICE Journal of Control Measurement and System Integration · doi:10.1080/18824889.2021.1936847 · Cited by 2

Introduction to Diffusion on Finsler Manifolds

Antonelli, P. L., & Zastawniak, T. (1998) · Springer eBooks · doi:10.1007/978-94-011-5282-2_1 · Cited by 2

Тезисы докладов, представленных на Второй международной конференции по стохастическим методам

(2017) · Теория вероятностей и ее применения · doi:10.4213/tvp5151 · Cited by 2

Computer stochastic mechanics

Yasue, K. (1988) · Lecture notes in mathematics · doi:10.1007/bfb0077928 · Cited by 2

Some remarks on stochastically perturbed (Hamiltonian) systems

Albeverio, S. A., & Hilbert, A. (2005) · Springer eBooks · doi:10.1007/bfb0025758 · Cited by 2

Jump processes in quantum theories

Blanchard, P., Combe, P., Sirugue, M., et al. (1986) · Lecture notes in physics · doi:10.1007/3540171665_56 · Cited by 2

Sensitivity analysis in stochastic mechanics

McClendon, M., & RABITZ, H. A. (1988) · Physical Review A · doi:10.1103/physreva.37.3493 · Cited by 2

New version of the Lagrange approach to the dynamics of a viscous incompressible fluid

Gliklikh, Y. E. (1994) · Mathematical Notes · doi:10.1007/bf02112472 · Cited by 2

Statistical basis for physical laws; non-relativistic theory

Collins, R. E. (1993) · Foundations of Physics Letters · doi:10.1007/bf00682791 · Cited by 2

Lévy processes and relativistic quantum dynamics

Garbaczewski, P. (2008) · Springer eBooks · doi:10.1007/3-540-60188-0_47 · Cited by 2

Controlling the density evolution of classical, thermodynamic and quantum systems

Pavon, M., & Ticozzi, F. (2006) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc.2005.1582421 · Cited by 2

Schrödinger diffusion processes, by R. Aebi. Pp. 194. Sw Fr 88. 1996. ISBN 3-7643-5386-4 (Birkhäuser).

Zambrini, J.-C. (1997) · The Mathematical Gazette · doi:10.2307/3618832 · Cited by 2

Planetesimal diffusions

Durran, R., & Truman, A. (1988) · Lecture notes in mathematics · doi:10.1007/bfb0077917 · Cited by 2

Indeterminism or Instability, Does it Matter?

Suppes, P. (1991) · Springer eBooks · doi:10.1007/978-94-011-3348-7_2 · Cited by 2

Letter to the editor

Zambrini, J.-C., & Waterhouse, W. C. (1997) · The Mathematical Intelligencer · doi:10.1007/bf03024423 · Cited by 2

Fractal Paths and Schrödingers Equation in an Electromagnetic Field

Ord, G. N., & Gualtieri, J. A. (1998) · Chaos Solitons & Fractals · doi:10.1016/s0960-0779(98)00230-6 · Cited by 1

Pilot-Wave Quantum Theory in Discrete Space and Time and the Principle of Least Action

Gluza, J., & Kosek, J. (2016) · Foundations of Physics · doi:10.1007/s10701-016-0026-7 · Cited by 1

Stochastic variational quantization and maximum entropy principle

Kodama, T., & Koide, T. (2015) · Physics of Particles and Nuclei · doi:10.1134/s1063779615050135 · Cited by 1

Effect of confinement and external mechanical force on the cleavage of the bond in a diatomic molecule

Jha, R., & Chattaraj, P. K. (2023) · Molecular Physics · doi:10.1080/00268976.2023.2200555 · Cited by 1

Derivation of the Equations for the Gravitational Field of a Condensing Cosmogonical Body within the Framework of Statistical Theory

Krot, A. M. (2026) · Gravitation and Cosmology · doi:10.1134/s0202289326700064 · Cited by 1

Quantum Collapse and Computation in an Everett Multiverse

Tamburini, F., & Licata, I. F. (2024) · Entropy · doi:10.3390/e26121068 · Cited by 1

On the hydrodynamic interpretation of non-relativistic quantum mechanics

Day, J. (2026) · Comptes Rendus Physique · doi:10.5802/crphys.280 · Cited by 1

Introduction from Quantum Physics to Quantum Technology

Diner, S. (1987) · Springer eBooks · doi:10.1007/978-3-7091-2971-5_1 · Cited by 1

Stochastic Differential Calculus

Mauri, R. (2012) · Soft and biological matter · doi:10.1007/978-94-007-5461-4_5 · Cited by 1

Calogero Conjecture and Hubble Law

Gaeta, G. (2000) · International Journal of Theoretical Physics · doi:10.1023/a:1003647122051 · Cited by 1

On the meaning of locality: the overlapping assumptions

Shafiee, A., & Ghahramani, F. T. (2015) · Quantum Studies Mathematics and Foundations · doi:10.1007/s40509-015-0053-7 · Cited by 2

Wave-particle duality in classical mechanics

Davydov, A. Y. (2012) · Journal of Physics Conference Series · doi:10.1088/1742-6596/361/1/012029 · Cited by 1

View of bunching and antibunching from the standpoint of classical signals

Khrennikov, A. Y. (2012) · Theoretical and Mathematical Physics · doi:10.1007/s11232-012-0092-8 · Cited by 1

Classical variational derivation and physical interpretation of Dirac's equation

Lavenda, B. H. (1987) · Foundations of Physics · doi:10.1007/bf00733091 · Cited by 1

Geometrical aspects of nelson's stochastic quantization

Gliklikh, Y. E. (1988) · Lecture notes in mathematics · doi:10.1007/bfb0080432 · Cited by 1

Application of risk-sensitive optimal filtering equations to excitable noise system

García, M. A. A., Pérez, J. P., & Sanchez, A. Y. L. (2013) · International Conference on Methods and Models in Automation and Robotics · doi:10.1109/mmar.2013.6669882 · Cited by 1

Optimal risk-sensitive controller for first degree stochastic polynomial systems

Alcorta-Garcia, M. A., Basin, M., Rostro, S. G. A., et al. (2009) · International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE) · doi:10.1109/iceee.2009.5393376 · Cited by 1

Psychophysical dualism from the point of view of a working psychologist

Molenaar, P. C. M. (2006) · Erkenntnis · doi:10.1007/s10670-006-9014-1 · Cited by 1

On Global Existence of Solutions of SDE's with Singular Drift

Höhnle, R. (1996) · Mathematische Nachrichten · doi:10.1002/mana.19961790110 · Cited by 1

Stochastic Motion Under G-Framework: I. Nelson Stochastic Derivatives

Zhang, H., & Kannan, D. (2014) · Stochastic Analysis and Applications · doi:10.1080/07362994.2014.964870 · Cited by 1

A FOOTNOTE TO NELSON'S INTERPRETATION OF THE TWO-SLIT EXPERIMENT

Pavon, M. (2004) · International Journal of Modern Physics B · doi:10.1142/s0217979204024367 · Cited by 1

Quantum mechanics from statistical mechanics of classical fields

Khrennikov, A. Y. (2007) · Journal of Physics Conference Series · doi:10.1088/1742-6596/70/1/012009 · Cited by 1

SYMMETRY REDUCTION OF BROWNIAN MOTION AND QUANTUM CALOGERO–MOSER MODELS

Hochgerner, S. (2012) · Stochastics and Dynamics · doi:10.1142/s0219493712500074 · Cited by 1

Classical random processes described by Schrödinger equation

Rashkovskiy, S. A. (2016) · International Journal of Quantum Information · doi:10.1142/s0219749916400062 · Cited by 1

Asymptotic Flux Across Hypersurfaces for Diffusion Processes

Posilicano, A., & Ugolini, S. (2004) · Springer eBooks · doi:10.1007/978-1-4020-2468-9_12 · Cited by 1

Numerical Study of Stochastic Leontief-Type Model with Impulses

Tahir, J. K. (2021) · Smart Science · doi:10.1080/23080477.2021.1921469 · Cited by 1

Diffusion Processes

Paul, W., & Baschnagel, J. (2013) · Springer eBooks · doi:10.1007/978-3-319-00327-6_3 · Cited by 1

Spacetime Stochasticity and Second Order Geometry

Kuipers, F. (2022) · Springer proceedings in mathematics & statistics · doi:10.1007/978-981-19-4751-3_35 · Cited by 1

Some Connections Between Stochastic Mechanics, Optimal Control, and Nonlinear Schrödinger Equations

Albeverio, S. A., Vecchi, F. C. D., & Ugolini, S. (2022) · Lecture notes in mathematics · doi:10.1007/978-3-031-12244-6_36 · Cited by 1

Stochastic Lagrange Approach to Viscous Hydrodynamics

Gliklikh, Y. E. (2024) · Journal of Mathematical Sciences · doi:10.1007/s10958-024-06906-7 · Cited by 1

Simulating Nelsonian Quantum Field Theory

Carosso, A. (2024) · Foundations of Physics · doi:10.1007/s10701-024-00766-6 · Cited by 3

Stochastic Equations and Inclusions with Mean Derivatives and Their Applications

Gliklikh, Y. E. (2024) · Journal of Mathematical Sciences · doi:10.1007/s10958-024-07172-3 · Cited by 1

Wave-like Behavior in the Source–Detector Resonance

Contopoulos, I. (2025) · Particles · doi:10.3390/particles8010024 · Cited by 1

A Stochastic Mechanics Based on Bohm‧s Theory and its Connection with Quantum Mechanics

Lan, B. L., & Tan, Y. O. (2006) · Foundations of Physics Letters · doi:10.1007/s10702-006-0372-3 · Cited by 1

Stochastic Leontief Type Equations with Impulse Actions

Mashkov, E. Y. (2018) · Bulletin of the South Ural State University Series Mathematical Modelling Programming and Computer Software · doi:10.14529/mmp180205 · Cited by 1

Chaotic Algorithms of Analysis of Cardiovascular Systems and Artificial Intelligence

Stepanyan, I. V., & Mekler, A. A. (2020) · Advances in intelligent systems and computing · doi:10.1007/978-3-030-39162-1_21 · Cited by 1

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)