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Journal Articles

Analytic continuation of stochastic mechanics

Open Access
Folkert Kuipers
Journal: Journal of Mathematical Physics
J. Math. Phys. 63, 042301 (2022)
https://doi.org/10.1063/5.0073096
Published: April 2022
View articletitled, Analytic continuation of stochastic mechanics
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Journal Articles

Stochastic quantization of relativistic theories

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Folkert Kuipers
Journal: Journal of Mathematical Physics
J. Math. Phys. 62, 122301 (2021)
https://doi.org/10.1063/5.0057720
Published: December 2021
View articletitled, Stochastic quantization of relativistic theories
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Journal Articles

Variational principle for stochastic mechanics based on information measures

Open Access
Jianhao M. Yang
Journal: Journal of Mathematical Physics
J. Math. Phys. 62, 102104 (2021)
https://doi.org/10.1063/5.0056779
Published: October 2021
View articletitled, Variational principle for stochastic mechanics based on information measures
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Journal Articles

Stochastic modification of Newtonian dynamics and induced potential—Application to spiral galaxies and the dark potential

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Jacky Cresson, Laurent Nottale, Thierry Lehner
Journal: Journal of Mathematical Physics
J. Math. Phys. 62, 072702 (2021)
https://doi.org/10.1063/5.0037265
Published: July 2021
View articletitled, Stochastic modification of Newtonian dynamics and induced potential—Application to spiral galaxies and the dark potential
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Journal Articles

Quantum Hamilton equations of motion for bound states of one-dimensional quantum systems

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J. Köppe, M. Patzold, W. Grecksch, W. Paul
Journal: Journal of Mathematical Physics
J. Math. Phys. 59, 062102 (2018)
https://doi.org/10.1063/1.5026377
Published: June 2018
View articletitled, Quantum Hamilton equations of motion for bound states of one-dimensional quantum systems
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Journal Articles

Extremal flows in Wasserstein space

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Giovanni Conforti, Michele Pavon
Journal: Journal of Mathematical Physics
J. Math. Phys. 59, 063502 (2018)
https://doi.org/10.1063/1.5018402
Published: June 2018
View articletitled, Extremal flows in Wasserstein space
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Journal Articles

Semiclassical stochastic mechanics for the Coulomb potential with applications to modelling dark matter

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Andrew Neate, Aubrey Truman
Journal: Journal of Mathematical Physics
J. Math. Phys. 57, 052103 (2016)
https://doi.org/10.1063/1.4947180
Published: May 2016
View articletitled, Semiclassical stochastic mechanics for the Coulomb potential with applications to modelling dark matter
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Journal Articles

Emergence of complex and spinor wave functions in scale relativity. II. Lorentz invariance and bi-spinors

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Marie-Noëlle Célérier, Laurent Nottale
Journal: Journal of Mathematical Physics
J. Math. Phys. 55, 052303 (2014)
https://doi.org/10.1063/1.4878491
Published: May 2014
View articletitled, Emergence of complex and spinor wave functions in scale relativity. II. Lorentz invariance and bi-spinors
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Journal Articles

A stochastic Burgers-Zeldovich model for the formation of planetary ring systems and the satellites of Jupiter and Saturn

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Andrew Neate, Aubrey Truman
Journal: Journal of Mathematical Physics
J. Math. Phys. 54, 033512 (2013)
https://doi.org/10.1063/1.4794514
Published: March 2013
View articletitled, A stochastic Burgers-Zeldovich model for the formation of planetary ring systems and the satellites of Jupiter and Saturn
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Journal Articles

Markov processes and generalized Schrödinger equations

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Andrea Andrisani, Nicola Cufaro Petroni
Journal: Journal of Mathematical Physics
J. Math. Phys. 52, 113509 (2011)
https://doi.org/10.1063/1.3663205
Published: November 2011
View articletitled, Markov processes and generalized Schrödinger equations
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Journal Articles

The stochastic Burgers equation with vorticity: Semiclassical asymptotic series solutions with applications

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Andrew Neate, Scott Reasons, Aubrey Truman
Journal: Journal of Mathematical Physics
J. Math. Phys. 52, 083512 (2011)
https://doi.org/10.1063/1.3610668
Published: August 2011
View articletitled, The stochastic Burgers equation with vorticity: Semiclassical asymptotic series solutions with applications
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Journal Articles

Maximal violation of Bell inequalities by position measurements

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J. Kiukas, R. F. Werner
Journal: Journal of Mathematical Physics
J. Math. Phys. 51, 072105 (2010)
https://doi.org/10.1063/1.3447736
Published: July 2010
View articletitled, Maximal violation of Bell inequalities by position measurements
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Journal Articles

On the divine clockwork: The spectral gap for the correspondence limit of the Nelson diffusion generator for the atomic elliptic state

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Richard Durran, Andrew Neate, Aubrey Truman, Feng-Yu Wang
Journal: Journal of Mathematical Physics
J. Math. Phys. 49, 102103 (2008)
https://doi.org/10.1063/1.2988715
Published: October 2008
View articletitled, On the divine clockwork: The spectral gap for the correspondence limit of the Nelson diffusion generator for the atomic elliptic state
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Journal Articles

The divine clockwork: Bohr’s correspondence principle and Nelson’s stochastic mechanics for the atomic elliptic state

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Richard Durran, Andrew Neate, Aubrey Truman
Journal: Journal of Mathematical Physics
J. Math. Phys. 49, 032102 (2008)
https://doi.org/10.1063/1.2837434
Published: March 2008
View articletitled, The divine clockwork: Bohr’s correspondence principle and Nelson’s stochastic mechanics for the atomic elliptic state
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Journal Articles

Rigorous bra-ket formalism and wave function operator for one particle quantum mechanics

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H. Bergeron
Journal: Journal of Mathematical Physics
J. Math. Phys. 47, 022105 (2006)
https://doi.org/10.1063/1.2157053
Published: February 2006
View articletitled, Rigorous bra-ket formalism and wave function operator for one particle quantum mechanics
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Journal Articles

Stochastic heat and Burgers equations and their singularities. II. Analytical properties and limiting distributions

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Ian M. Davies, Aubrey Truman, Huaizhong Zhao
Journal: Journal of Mathematical Physics
J. Math. Phys. 46, 043515 (2005)
https://doi.org/10.1063/1.1850836
Published: March 2005
View articletitled, Stochastic heat and Burgers equations and their singularities. II. Analytical properties and limiting distributions
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Journal Articles

On the stochastic mechanics of the free relativistic particle

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Michele Pavon
Journal: Journal of Mathematical Physics
J. Math. Phys. 42, 4846–4856 (2001)
https://doi.org/10.1063/1.1401135
Published: October 2001
View articletitled, On the stochastic mechanics of the free relativistic particle
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Journal Articles

From classical to quantum mechanics: “How to translate physical ideas into mathematical language”

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H. Bergeron
Journal: Journal of Mathematical Physics
J. Math. Phys. 42, 3983–4019 (2001)
https://doi.org/10.1063/1.1386410
Published: September 2001
View articletitled, From classical to quantum mechanics: “How to translate physical ideas into mathematical language”
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Journal Articles

Stochastic mechanics and the Feynman integral

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Michele Pavon
Journal: Journal of Mathematical Physics
J. Math. Phys. 41, 6060–6078 (2000)
https://doi.org/10.1063/1.1286880
Published: September 2000
View articletitled, Stochastic mechanics and the Feynman integral
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Journal Articles

Derivation of the wave function collapse in the context of Nelson’s stochastic mechanics

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Michele Pavon
Journal: Journal of Mathematical Physics
J. Math. Phys. 40, 5565–5577 (1999)
https://doi.org/10.1063/1.533046
Published: November 1999
View articletitled, Derivation of the wave function collapse in the context of Nelson’s stochastic mechanics
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