To Principles of Quantum Theory Construction

Yerchuck, Dmitri; Dovlatova, Alla; Alexandrov, A.F.

doi:10.12691/ijp-2-6-1

Cited by 3 publications

(6 citation statements)

References 20 publications

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“…In other words, speaking in lapidary style, usually well detected EM-field seems to be the only a top of an iceberg. Given suggestion is based along with coincidence of the field equations' form on the concept of the zeroth rest mass boson model of EM-field in [1] and in [2], where the EM-field is considered to be the quantum liquid, in which the phonon sybsystem is presenting.…”

Section: Resultsmentioning

confidence: 99%

“…The concept of the phonons is applicable also to the description of quantum liquids, at that in given case the phonons represent themselves the genuine particles (instead of quasiparticles in solids). Given result was used in the zeroth rest mass boson model of EM-field in [1] and in the recent work [2], in which the EM-field is considered to be quantum liquid and in which the phonon sybsystem is presenting. In fact in the work [2] the structure of the EM-field vacuum was presented.…”

Section: Introductionmentioning

confidence: 99%

“…Let us remark, that the model proposed in [1] and in [2] is in fact the development of an idea of multiphoton "molecules". The idea of multiphoton "molecules" arose around 1910, after Debye [3] presented a simple, ondulatory method to obtain the radiation law.…”

Section: Introductionmentioning

confidence: 99%

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Concept of Free Acoustic Field

Yerchuck

2014

BJAST

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The concept of classical and quantum free acoustic (FA) field is theoretically considered. The equations of the free acoustic field are derived. They coincide in the mathematical form with Maxwell equations for the free electromagnetic (EM) field. It is accentuated, that the equations in the mathematical form of Maxwell equations for the free EM-field are universal equations of the Nature. They describe any free complex-vector physical field, vector-functions of which are analytical functions. In the case of a free acoustic field, it seems to be the strong indication taking into account the quantum Fermi liquid model of EM-field leading to the existence of phonons, accompanying the process of a photon formation, that FA-field and free EM-field are the display of the single united field, both the components of which can propagate simultaneously [however, with different velocities], for instance, in weakly absorbing media. The theory proposed can be the theoretical basis for the practical realization of superconducting states at high temperature in the materials with the strong interaction of electrons with acoustic field phonons and with microwave photons in magnetic resonance conditions.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Concept of Free Acoustic Field

Yerchuck

2014

BJAST

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“…Quaternions in given representation were used in [15] and in [27] to formulate the Maxwell equation in general form and to establish the properties of corresponding EM-field operators by its quantisation (see further). Quaternion set {Q} can be considered to be the generalization of the set Z n for n = 2 in accordance with the relation…”

Section: Algebraic Properties Of Em-fieldmentioning

confidence: 99%

Classical and Quantum Electrodynamics Concept Based on Maxwell Equations’ Symmetry

Yerchuck

2014

PSIJ

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The symmetry studies of Maxwell equations gave new insight on the nature of electromagnetic (EM) field. Tey are reviewed in the work presented. It is drawing the attention on the following aspects.EM-field has in general case quaternion structure, consisting of four independent field constituents, which differ from each other by the parities under space inversion and time reversal.Any complex relativistic field has the gauge invariant conserving quantity -two-component scalar or pseudoscalar value -complex charge.There exists physical conserving quantity, which is simultaneously invariant under both Rainich dual and additional hyperbolic dual symmetry transformation of Maxwell equations. It is spin in general case or spirality in the corresponding geometry. EM-field is described instead of unobservable vector and scalar potentials by observable electric field 4-vector-function with the components Eα( r, t) = {Ex( r, t), Ey( r, t), Ez( r, t), i cρe( r,t) λ } and (or in the case of free EM-field) by means of magnetic field 4-vector-function Hµ( r, t) = {Hx( r, t), Hy( r, t), Hz( r, t), i cρm( r,t) λ }, where icρe( r, t), icρm( r, t) are the j4( r, t)-component of 4current density, corresponding to contribution of electric and magnetic component of charge densities correspondingly, λ is conductivity, which for the case of EM-field propagation in vacuum is λv = 1 120π (Ohm) −1 . Generalized Maxwell equations for quaternion four-component EM-field are obtained. Invariants for EM-field, consisting of dually symmetric parts are found. The main postulate of quantum mechanics: "To any mechanical quantity can be set up in the correspondence the Hermitian matrix by quantization" was proved.Canonical Dirac quantization method was developed in two aspects. The first aspect is its application the only to observable quantities. The second aspect is the realization along with well known time-local quantization of space-local quantization and space-time-local quantization. It is also shown, that Coulomb field can be quantized in 1D and 2D systems.New model of photons is proposed. The photons in quantized EM-field are main excitations in oscillator structure of EM-field, which is equivalent to spin S = 1 "boson-atomic" 1D lattice structure, consisting of the "atoms" with zeroth rest mass. The photons of the first kind and of the second kind represent themselves respectively neutral chargeless spin 1/2 EM-solitons and charged spinless EM-solitons of Su-Schrieffer-Heeger family.

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“…The correct way for the construction of new versions of quantum mechanics on the quaternion base is however in the pincple possible, however, it is indirect. It was discussed in the paper [10], where it has been shown, that the correct way can be realized by means of the representation of the quaternions through the basis of the linear space of complex numbers over the field of real numbers, under the multiplicative group of which the equations of the dynamics of mechanical systems are invariant.…”

Section: Introductionmentioning

confidence: 99%

To Principles of Quantum Mechanics Development

Yerchuck¹,

Dovlatova²,

Borovik³

et al. 2014

IJP

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New insight to the principles of the quantum physics development is given. The correct ways for the construction of new versions of quantum mechanics on the second main postulate base are discussed.The conclusion on the status of the second main postulate is given. Its formulation in all textbooks has to be represented in the form of statement, since the hypothesis of Schrödinger on the existance of the field scalar function, being to be observable quantity, just charge density, is strictly proved for the case of EM-field, the role of which is argued to be decisive for the dynamics of the atomic systems. It is shown, that the field scalar function, being to be the function the only of coordinates and time, actually describes the state of the system. The second main postulate in Schrödinger formulation is mathematically strictly grounded, but in the popular probabilistic form used in modern textbooks on quantum theory it cannot be proved. The probabilistic theatise, proposed by Born is true in a number of special cases, quite correctly indicated by Dirac.The possible ways of the development of quantum theory, based on clear understanding of the origin of corpuscular-wave dualism are analysed.

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To Principles of Quantum Theory Construction

Cited by 3 publications

References 20 publications

Concept of Free Acoustic Field

Concept of Free Acoustic Field

Classical and Quantum Electrodynamics Concept Based on Maxwell Equations’ Symmetry

To Principles of Quantum Mechanics Development

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