Zum hydrodynamischen Modell der Quantenmechanik

Jánossy, L.

doi:10.1007/bf01378286

Cited by 33 publications

(36 citation statements)

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“…is solved as a function of the two real variables, | |ψ and S [2][3][4][5]. As shown by Weiner et al [6], the outputs of the quantum hydrodynamic model agree with the outputs of the Schrödinger problem and, more recently, as shown by Koide and Kodama [7], it agrees with the outputs of the stochastic variational method.…”

Section: Introductionsupporting

confidence: 64%

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The Hydrodynamic Representation of the Klein-Gordon Equation with Self- Interacting Field

Chiarelli¹

2017

J Astrophys Aerospace Technol

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Section: Introductionsupporting

confidence: 64%

“…The biunique correspondence between the standard quantum mechanics and the hydrodynamic representation [1][2][3][4][5][6]17] warrants that the quantum energy-impulse tensor density can be independently defined by the used formalism.…”

Section: Resultsmentioning

confidence: 99%

The Hydrodynamic Representation of the Klein-Gordon Equation with Self- Interacting Field

Chiarelli¹

2017

J Astrophys Aerospace Technol

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“…As shown by Bialiniki-Birula et al and by the author himself [19][20][21][22][23], it is noteworthy to observe that, due to the biunique relation between the quantum hydrodynamic approach (with the quantization bond) and the standard quantum equations [21][22][23][24], Equations (3) and (4) are equivalent to the Klein-Gordon equation (KGE) [19][20][21][22][23] …”

Section: The Qeitd Derived By the Hydrodynamic Quantum Modelmentioning

confidence: 99%

“…is the Lagrangian density, and L is the hydrodynamic Lagrangian function that defines the quantum hydrodynamic equations of motion as a function of the couple of real variables |ψ| and S [20][21][22][23] where the momentum reads…”

Section: The Qeitd Derived By the Hydrodynamic Quantum Modelmentioning

confidence: 99%

Theoretical Derivation of the Cosmological Constant in the Framework of the Hydrodynamic Model of Quantum Gravity: Can the Quantum Vacuum Singularity Be Overcome?

Chiarelli

2016

Galaxies

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Abstract:In the present work, it is shown that the problem of the cosmological constant (CC) is practically the consequence of the inadequacy of general relativity to take into account the quantum property of the space. The equations show that the cosmological constant naturally emerges in the hydrodynamic formulation of quantum gravity and that it does not appear in the classical limit because the quantum energy-impulse tensor gives an equal contribution with opposite sign. The work shows that a very large local value of the CC comes from the space where the mass of a quasi-punctual particle is present but that it can be as small as measured on cosmological scale. The theory shows that the small dependence of the CC from the mean mass density of the universe is due to the null contribution coming from the empty space. This fact gives some hints for the explanation of the conundrum of the cosmic coincidence by making a high CC value of the initial instant of universe compatible with the very small one of the present era.

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“…Madelung 1926Madelung , 1927Janossy 1962;Jaynes 1973;Barut 1988). Due to the above problems, however, this semiclassical interpretation cannot be satisfactory in the final analysis.…”

Section: A Historical Reviewmentioning

confidence: 99%

Is an Electron a Charge Cloud? A Reexamination of Schrödinger’s Charge Density Hypothesis

Gao

2017

Found Sci

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This article re-examines Schrödinger's charge density hypothesis, according to which the charge of an electron is distributed in the whole space, and the charge density in each position is proportional to the modulus squared of the wave function of the electron there. It is demonstrated that the charge distribution of a quantum system can be measured by protective measurements as expectation values of certain observables, and the results as predicted by quantum mechanics confirm Schrödinger's original hypothesis. Moreover, the physical origin of the charge distribution is also investigated. It is argued that the charge distribution of a quantum system is effective, that is, it is formed by the ergodic motion of a localized particle with the charge of the system.

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Zum hydrodynamischen Modell der Quantenmechanik

Cited by 33 publications

References 0 publications

The Hydrodynamic Representation of the Klein-Gordon Equation with Self- Interacting Field

The Hydrodynamic Representation of the Klein-Gordon Equation with Self- Interacting Field

Theoretical Derivation of the Cosmological Constant in the Framework of the Hydrodynamic Model of Quantum Gravity: Can the Quantum Vacuum Singularity Be Overcome?

Is an Electron a Charge Cloud? A Reexamination of Schrödinger’s Charge Density Hypothesis

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