Open Quantum Physics and Environmental Heat Conversion into Usable Energy: Volume 3

Stefanescu, Eliade

doi:10.2174/97898150510941220301

Cited by 2 publications

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“…For a quantum particle with a Hamiltonian ( ) 0 , H p r , we consider a scattering /tunneling process described by a perturbing potential V  with a strength coefficient  [9], described by the dynamic equation ( 51),…”

Section: Fermi's Golden Rule For a Quantum Particle As A Distribution...mentioning

confidence: 99%

“…We consider a quantum particle with the wave functions of the form (20), with a Lagrangian which, besides the relativistic term includes additional terms for the interaction with a field, with a vector potential ( ) , A r t conjugated to the coordinates, as in the Aharonov-Bohm effect [10], and a scalar potential ( ) Ur conjugated to time, that we call the electric potential [3][4][5][6],…”

Section: The Maxwell-lorentz Equations As Characteristics Of a Field ...mentioning

confidence: 99%

“…Here we considered only the vector potential as a function of time, as the electric potential is only a function of the spatial coordinates, as in the problems of interest of the atom field interaction [11][12][13][14]. From this expression, we obtain the canonical momentum…”

Section: The Maxwell-lorentz Equations As Characteristics Of a Field ...mentioning

confidence: 99%

“…,, x x x x = , and in the space of the momentum ( ) (10) with the amplitude functions, which we call the wave functions [3][4][5][6],…”

Section: Introductionmentioning

confidence: 99%

“…and the momentum (14) with mass M as a characteristic of continuous matter dynamics. We note that, the velocity of any wave of the wave packet (11) in space, is equal to the velocity of the wave function defined by this wave packet, as the time variation of any wave of the wave packet (11) in the momentum space takes the form of the gradient of a potential:…”

Section: Introductionmentioning

confidence: 99%

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2022

AnnalsARSciPhysChem

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Rezumat. În această lucrare, obținem dinamica cuantică în cadrul teoriei generale a relativității, unde o particulă cuantică este descrisă de o distribuție de materie, prin funcții de amplitudine ale densității materiei, în cele două spații conjugate ale coordonatelor spațiale și impulsului, numite funcții de undă. Pentru o particulă liberă, aceste funcții de undă sunt pachete de unde conjugate în spațiile coordonatelor și impulsului, cu faze dependente de timp proporționale cu Lagrangeanul relativist, în timp ce vitezele undelor în spațiul coordonatelor sunt egale cu viteza distribuției descrise de pachetul de unde din acest spațiu. Din vitezele undelor funcțiilor de undă ale unei particule, obținem forța Lorentz și ecuațiile lui Maxwell. Pentru o particulă cuantică în câmp electromagnetic, obținem ecuații dinamice în spațiile coordonatelor și impulsului, și funcții de undă pentru particule și antiparticule. Obținem rata de împrăștiere într-un câmp electromagnetic, pentru cazurile posibile, cu conservarea, sau inversarea spinului.

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Section: Fermi's Golden Rule For a Quantum Particle As A Distribution...mentioning

confidence: 99%

Section: The Maxwell-lorentz Equations As Characteristics Of a Field ...mentioning

confidence: 99%

Section: The Maxwell-lorentz Equations As Characteristics Of a Field ...mentioning

confidence: 99%

“…,, x x x x = , and in the space of the momentum ( ) (10) with the amplitude functions, which we call the wave functions [3][4][5][6],…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quantum Mechanics as a Theory Based on the General Theory of Relativity

Stefanescu¹

2022

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In this paper, we obtain the quantum dynamics in the framework of the general theory of relativity, where a quantum partide is described by a distribution of matter, with amplitude functions of the matter density, in the two conjugate spaces of the spațial coordinates and of the momentum, called wave functions. For a free partide, these wave functions are conjugate wave packets in the coordinate and momentum spaces, with time dependent phases proporțional to the relativistic lagrangian, as the wave velocities in the coordinate space are equal to the distribution velocity described by the wave packet in this space. From the wave velocities of the partide wave functions, we obtain lorentz’s force and the maxwell equations. For a quantum partide in electromagnetic field, we obtain dynamic equations in the coordinate and momentum spaces, and the partide and antiparticle wave functions. We obtain the scattering or tunneling rate in an electromagnetic field, for the two possible cases, with the spin conservation, or inversion

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Open Quantum Physics and Environmental Heat Conversion into Usable Energy: Volume 3

Cited by 2 publications

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Quantum Mechanics as a Theory Based on the General Theory of Relativity

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