Non-Probabilistic Approach to the Time of Energy Emission in Small Quantum Systems

Olszewski, S.

doi:10.4236/jmp.2015.69133

Cited by 21 publications

(51 citation statements)

References 15 publications

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“…In principle the current intensity does not depend on the electron velocity but is solely a function of the electric charge and the time connected with the charge flow [9]. However, an attempt to obtain a correct size of the magnetic field from the basic laws of electrodynamics, for example the Biot-Savart law, requires an insight into the microscopic (geometrical) properties of the electron particle combined with the use of the notion of the electron velocity.…”

Section: Discussionmentioning

confidence: 99%

“…It should be noted that t ∆ entering (13) approaches the time period n T given in (3); see [5] [6] [9]. Because the field intensity n E can be a constant number along the orbit n, we obtain from (9), (11) and (13) …”

Section: Maxwell Equations and The Electric Resistance Characteristicmentioning

confidence: 99%

“…Let the interval ∆Φ be that given in (9), whereas t ∆ is the time interval necessary for the electron transition between the orbits 1 n + nad n. In a preceding paper [9] we have shown that t ∆ is coupled with the transition energy E ∆ from level 1 n + to n, viz…”

Section: Maxwell Equations and The Electric Resistance Characteristicmentioning

confidence: 99%

“…The current is due to the electron orbital motion in the hydrogen atom, but in a previous approach to i-where the formula for n j  has been neglected-we had [9] …”

Section: S Olszewski 2208mentioning

confidence: 99%

“…This kind of current has been applied in calculating the Poynting vector associated with the energy emission in the hydrogen atom; see [9].…”

Section: Microstructure Of the Electron Particle And The Current Intementioning

confidence: 99%

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Electrodynamics of the Electron Orbital Motion in the Hydrogen Atom Considered in Reference to the Microstructure of the Electron Particle and Its Spin

Olszewski¹

2015

JMP

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Electrodynamics of the one-electron currents due to the circular orbital motion of the electron particle in the hydrogen atom has been examined. The motion is assumed to be induced by the time change of the magnetic field in the atom. A characteristic point is that the electric resistance calculated for the motion is independent of the orbit index and its size is similar to that obtained earlier experimentally for the planar free-electron-like structures considered in the integer quantum Hall effect. Other current parameters like conductivity and the relaxation time behave in a way similar to that being typical for metals. A special attention was attached to the relations between the current intensity and magnetic field. A correct reproduction of this field with the aid of the Biot-Savart law became possible when the geometrical microstructure of the electron particle has been explicitly taken into account. But the same microstructure properties do influence also the current velocity. In fact the current suitable for the Biot-Savart law should have a speed characteristic for a spinning electron particle and not that of a spinless electron circulating along the orbit of the original Bohr model.

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Section: Discussionmentioning

confidence: 99%

Section: Maxwell Equations and The Electric Resistance Characteristicmentioning

confidence: 99%

Section: Maxwell Equations and The Electric Resistance Characteristicmentioning

confidence: 99%

“…The current is due to the electron orbital motion in the hydrogen atom, but in a previous approach to i-where the formula for n j  has been neglected-we had [9] …”

Section: S Olszewski 2208mentioning

confidence: 99%

“…This kind of current has been applied in calculating the Poynting vector associated with the energy emission in the hydrogen atom; see [9].…”

Section: Microstructure Of the Electron Particle And The Current Intementioning

confidence: 99%

See 3 more Smart Citations

Electrodynamics of the Electron Orbital Motion in the Hydrogen Atom Considered in Reference to the Microstructure of the Electron Particle and Its Spin

Olszewski¹

2015

JMP

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Quantum Invariants Descending from the Joule-Lenz Law for the Dissipated Energy Applied in Calculating the Rate of Electron Transitions

Olszewski

2017

Acta Phys. Pol. A

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The Joule-Lenz law for a classical expense of energy is transformed into a formula representing a quantummechanical invariant composed of the interval of energy connected with an electron transition and the corresponding interval of transition time between two quantum levels. Time and energy enter the invariant formula on an equal footing, moreover the time intervals converge with the time periods characteristic for the examined quantum systems. These properties imply to consider the time intervals as quanta of time having character similar to that possessed by the energy. Another result of the transformation of the Joule-Lenz law is the time rate of energy of the quantum transitions. This rate is calculated on a fully non-probabilistic way. When examined for the hydrogen atomic spectrum taken as an example, the obtained quantum rate is by many orders larger than a classical transition rate.

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Quanta of the magnetic monopole entering the Oersted–Ampere law

Olszewski¹

2018

MSEIJ

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The paper demonstrates that quantization of the magnetic monopole, much similar to that concerning the magnetic flux in superconductors, can occur also in a non–superconducting case represented by the Oersted–Ampere law. This result can occur on condition the Joule–Lenz law for the action quanta of electrons participating in the effect is taken into account. The quantum result obtained for a monopole can be confirmed with the aid of the uncertainty principle applied to the energy and time period characteristic for the current involved in the Oersted–Ampere phenomenon.

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Non-Probabilistic Approach to the Time of Energy Emission in Small Quantum Systems

Cited by 21 publications

References 15 publications

Electrodynamics of the Electron Orbital Motion in the Hydrogen Atom Considered in Reference to the Microstructure of the Electron Particle and Its Spin

Electrodynamics of the Electron Orbital Motion in the Hydrogen Atom Considered in Reference to the Microstructure of the Electron Particle and Its Spin

Quantum Invariants Descending from the Joule-Lenz Law for the Dissipated Energy Applied in Calculating the Rate of Electron Transitions

Quanta of the magnetic monopole entering the Oersted–Ampere law

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