Madelung equations (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Madelung equations" in English language version.

refsWebsite

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12doi.org

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11worldcat.org

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4arxiv.org

69^th place

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1aps.org

1,503^rd place

1,378^th place

1oup.com

485^th place

440^th place

aps.org

journals.aps.org

Wallstrom, Timothy C. (1994-03-01). "Inequivalence between the Schrödinger equation and the Madelung hydrodynamic equations". Physical Review A. 49 (3): 1613–1617. doi:10.1103/PhysRevA.49.1613.

arxiv.org

Reddiger, Maik; Poirier, Bill (2023-04-19). "Towards a mathematical theory of the Madelung equations: Takabayasi's quantization condition, quantum quasi-irrotationality, weak formulations, and the Wallstrom phenomenon". Journal of Physics A: Mathematical and Theoretical. 56 (19): 193001. arXiv:2207.11367. doi:10.1088/1751-8121/acc7db. ISSN 1751-8113.
Tsekov 2011. Tsekov, Roumen (2011). "Quantum diffusion". Physica Scripta. 83 (3). arXiv:1001.1071. doi:10.1088/0031-8949/83/03/035004. ISSN 0031-8949.
Heifetz & Cohen 2015. Heifetz, Eyal; Cohen, Eliahu (2015). "Toward a Thermo-hydrodynamic Like Description of Schrödinger Equation via the Madelung Formulation and Fisher Information". Foundations of Physics. 45 (11): 1514–1525. arXiv:1501.00944. doi:10.1007/s10701-015-9926-1. ISSN 0015-9018.
Tsekov 2009. Tsekov, Roumen (2009). "Dissipative Time Dependent Density Functional Theory". International Journal of Theoretical Physics. 48 (9): 2660–2664. arXiv:0903.3644. doi:10.1007/s10773-009-0054-6. ISSN 0020-7748.

doi.org

Schönberg 1954, p. 103. Schönberg, M. (1954). "On the hydrodynamical model of the quantum mechanics". Il Nuovo Cimento. 12 (1): 103–133. doi:10.1007/BF02820368. ISSN 0029-6341.
Madelung 1926. Madelung, E. (1926). "Eine anschauliche Deutung der Gleichung von Schrödinger". Die Naturwissenschaften (in German). 14 (45): 1004–1004. doi:10.1007/BF01504657. ISSN 0028-1042.
Madelung 1927. Madelung, E. (1927). "Quantentheorie in hydrodynamischer Form". Zeitschrift für Physik (in German). 40 (3–4): 322–326. doi:10.1007/BF01400372. ISSN 1434-6001.
Kragh & Carazza 2000, p. 52. Kragh, Helge; Carazza, Bruno (2000). "Classical Behavior of Macroscopic Bodies from Quantum Principles: Early Discussions". Archive for History of Exact Sciences. 55 (1): 43–56. doi:10.1007/s004070000018. ISSN 0003-9519.
Kragh & Carazza 2000, p. 53. Kragh, Helge; Carazza, Bruno (2000). "Classical Behavior of Macroscopic Bodies from Quantum Principles: Early Discussions". Archive for History of Exact Sciences. 55 (1): 43–56. doi:10.1007/s004070000018. ISSN 0003-9519.
Wallstrom, Timothy C. (1994-03-01). "Inequivalence between the Schrödinger equation and the Madelung hydrodynamic equations". Physical Review A. 49 (3): 1613–1617. doi:10.1103/PhysRevA.49.1613.
Takabayasi, Takehiko (1952-08-01). "On the Formulation of Quantum Mechanics associated with Classical Pictures*". Progress of Theoretical Physics. 8 (2): 143–182. doi:10.1143/ptp/8.2.143. ISSN 0033-068X.
Reddiger, Maik; Poirier, Bill (2023-04-19). "Towards a mathematical theory of the Madelung equations: Takabayasi's quantization condition, quantum quasi-irrotationality, weak formulations, and the Wallstrom phenomenon". Journal of Physics A: Mathematical and Theoretical. 56 (19): 193001. arXiv:2207.11367. doi:10.1088/1751-8121/acc7db. ISSN 1751-8113.
Tsekov 2011. Tsekov, Roumen (2011). "Quantum diffusion". Physica Scripta. 83 (3). arXiv:1001.1071. doi:10.1088/0031-8949/83/03/035004. ISSN 0031-8949.
Reginatto 1998. Reginatto, Marcel (1998-09-01). "Derivation of the equations of nonrelativistic quantum mechanics using the principle of minimum Fisher information". Physical Review A. 58 (3): 1775–1778. doi:10.1103/PhysRevA.58.1775. ISSN 1050-2947.
Heifetz & Cohen 2015. Heifetz, Eyal; Cohen, Eliahu (2015). "Toward a Thermo-hydrodynamic Like Description of Schrödinger Equation via the Madelung Formulation and Fisher Information". Foundations of Physics. 45 (11): 1514–1525. arXiv:1501.00944. doi:10.1007/s10701-015-9926-1. ISSN 0015-9018.
Tsekov 2009. Tsekov, Roumen (2009). "Dissipative Time Dependent Density Functional Theory". International Journal of Theoretical Physics. 48 (9): 2660–2664. arXiv:0903.3644. doi:10.1007/s10773-009-0054-6. ISSN 0020-7748.

oup.com

academic.oup.com

Takabayasi, Takehiko (1952-08-01). "On the Formulation of Quantum Mechanics associated with Classical Pictures*". Progress of Theoretical Physics. 8 (2): 143–182. doi:10.1143/ptp/8.2.143. ISSN 0033-068X.

worldcat.org

search.worldcat.org

Schönberg 1954, p. 103. Schönberg, M. (1954). "On the hydrodynamical model of the quantum mechanics". Il Nuovo Cimento. 12 (1): 103–133. doi:10.1007/BF02820368. ISSN 0029-6341.
Madelung 1926. Madelung, E. (1926). "Eine anschauliche Deutung der Gleichung von Schrödinger". Die Naturwissenschaften (in German). 14 (45): 1004–1004. doi:10.1007/BF01504657. ISSN 0028-1042.
Madelung 1927. Madelung, E. (1927). "Quantentheorie in hydrodynamischer Form". Zeitschrift für Physik (in German). 40 (3–4): 322–326. doi:10.1007/BF01400372. ISSN 1434-6001.
Kragh & Carazza 2000, p. 52. Kragh, Helge; Carazza, Bruno (2000). "Classical Behavior of Macroscopic Bodies from Quantum Principles: Early Discussions". Archive for History of Exact Sciences. 55 (1): 43–56. doi:10.1007/s004070000018. ISSN 0003-9519.
Kragh & Carazza 2000, p. 53. Kragh, Helge; Carazza, Bruno (2000). "Classical Behavior of Macroscopic Bodies from Quantum Principles: Early Discussions". Archive for History of Exact Sciences. 55 (1): 43–56. doi:10.1007/s004070000018. ISSN 0003-9519.
Takabayasi, Takehiko (1952-08-01). "On the Formulation of Quantum Mechanics associated with Classical Pictures*". Progress of Theoretical Physics. 8 (2): 143–182. doi:10.1143/ptp/8.2.143. ISSN 0033-068X.
Reddiger, Maik; Poirier, Bill (2023-04-19). "Towards a mathematical theory of the Madelung equations: Takabayasi's quantization condition, quantum quasi-irrotationality, weak formulations, and the Wallstrom phenomenon". Journal of Physics A: Mathematical and Theoretical. 56 (19): 193001. arXiv:2207.11367. doi:10.1088/1751-8121/acc7db. ISSN 1751-8113.
Tsekov 2011. Tsekov, Roumen (2011). "Quantum diffusion". Physica Scripta. 83 (3). arXiv:1001.1071. doi:10.1088/0031-8949/83/03/035004. ISSN 0031-8949.
Reginatto 1998. Reginatto, Marcel (1998-09-01). "Derivation of the equations of nonrelativistic quantum mechanics using the principle of minimum Fisher information". Physical Review A. 58 (3): 1775–1778. doi:10.1103/PhysRevA.58.1775. ISSN 1050-2947.
Heifetz & Cohen 2015. Heifetz, Eyal; Cohen, Eliahu (2015). "Toward a Thermo-hydrodynamic Like Description of Schrödinger Equation via the Madelung Formulation and Fisher Information". Foundations of Physics. 45 (11): 1514–1525. arXiv:1501.00944. doi:10.1007/s10701-015-9926-1. ISSN 0015-9018.
Tsekov 2009. Tsekov, Roumen (2009). "Dissipative Time Dependent Density Functional Theory". International Journal of Theoretical Physics. 48 (9): 2660–2664. arXiv:0903.3644. doi:10.1007/s10773-009-0054-6. ISSN 0020-7748.