Force law in material media, hidden momentum and quantum phases

Kholmetskii, Alexander; Missevitch, O.; Yarman, Tolga

doi:10.1016/j.aop.2016.03.004

Cited by 14 publications

(44 citation statements)

References 33 publications

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“…2, and the Thomas-Wigner rotation of the axes of K 2 with respect to corresponding axes of K 1 leaves both systems non-Cartesian for each other, too. As the result, the spatial orientation of the x-and y-axes of K 2 for an observer in K 1 depends both on the scale contraction effect for each axis, different, in general, for each coordinate axis, as well as the Thomas-Wigner rotation, being common for both axes, see equation (16).…”

Section: Resultsmentioning

confidence: 99%

The relativistic mechanism of the Thomas–Wigner rotation and Thomas precession

Kholmetskii¹,

Yarman²

2020

Eur. J. Phys.

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We consider the Thomas-Wigner rotation of coordinate systems under successive Lorentz transformations of inertial reference frames and disclose its physical mechanism on the basis of relativistic contraction of moving scale and relativity of simultaneity of events for different inertial observers. This result allows us to understand better the physical meaning of the Thomas precession and to indicate some of the missed points in the physical interpretation of this effect with two particular examples: the circular motion of a classical electron around a heavy nucleus and the motion of a classical electron along an open path, where its initial velocity and acceleration are mutually orthogonal to each other.

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Section: Resultsmentioning

confidence: 99%

The relativistic mechanism of the Thomas–Wigner rotation and Thomas precession

Kholmetskii¹,

Yarman²

2020

Eur. J. Phys.

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“…Recently, using the known expression for the Lagrangian density in material media (where M αβ is the magnetization-polarization tensor, and F αβ is the tensor of EM field) and integrating it to a compact dipole, we explicitly determined the relativistic motional equation for a dipole and its Hamiltonian 13 . The corresponding expression for the quantum phase reads where two novel phase effects emerge, next to the phases (3), (4), being described by the first and second terms of eq.…”

Section: Introductionmentioning

confidence: 99%

Quantum phases for moving charges and dipoles in an electromagnetic field and fundamental equations of quantum mechanics

Kholmetskii

Yarman

Missevitch

et al. 2018

Sci Rep

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We analyze the quantum phase effects for point-like charges and electric (magnetic) dipoles under a natural assumption that the observed phase for a dipole represents the sum of corresponding phases for charges composing this dipole. This way we disclose two novel quantum phases for charged particles, which we named as complementary electric Aharonov-Bohm (A-B) phase and complementary magnetic A-B phase, respectively. We reveal that these phases are derived from the Schrödinger equation only in the case, where the operator of momentum is re-defined via the replacement of the canonical momentum of particle by the sum of its mechanical momentum and interactional field momentum for a system of charged particles. The related alteration should be introduced to Klein-Gordon and Dirac equations, too, and implications of this modification are discussed.

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“…where the path of the positive charge of dipole is designated as L + , the path of the negative charge of dipole is designated as L -, and r is the radial coordinate. Equation (19) shows that the HMW phase d pB represents an algebraic sum of magnetic AB phases (2) for each charge, composing the dipole, and this result has already been derived in reference [24] soon after the discovery of the HMW phase.…”

Section: A P S P a S A P Smentioning

confidence: 85%

Quantum phases for electric charges and electric (magnetic) dipoles: physical meaning and implication

Kholmetskii¹,

Missevitch²,

Yarman³

2021

Journal of the Belarusian State University. Physics

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We analyse the physical meaning of quantum phase effects for point-like charges and electric (magnetic) dipoles in an electromagnetic (EM) field. At present, there are known eight effects of such a kind: four of them (the magnetic and electric Aharonov – Bohm phases for electrons, the Aharonov – Casher phase for a moving magnetic dipole and the He – McKellar – Wilkens phase for a moving electric dipole) had been disclosed in 20th century, while four new quantum phases had recently been found by our team (A. L. Kholmetskii, O. V. Missevitch, T. Yarman). In our analysis of physical meaning of these phases, we adopt that a quantum phase for a dipole represents a superposition of quantum phases for each charge, composing the dipole. In this way, we demonstrate the failure of the Schrödinger equation for a charged particle in an EM field to describe new quantum phase effects, when the standard definition of the momentum operator is used. We further show that a consistent description of quantum phase effects for moving particles is achieved under appropriate re-definition of this operator, where the canonical momentum of particle in EM field is replaced by the interactional EM field momentum. Some implications of this result are discussed.

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Force law in material media, hidden momentum and quantum phases

Cited by 14 publications

References 33 publications

The relativistic mechanism of the Thomas–Wigner rotation and Thomas precession

The relativistic mechanism of the Thomas–Wigner rotation and Thomas precession

Quantum phases for moving charges and dipoles in an electromagnetic field and fundamental equations of quantum mechanics

Quantum phases for electric charges and electric (magnetic) dipoles: physical meaning and implication

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