Revisiting Zitterbewegung

Sidharth, B. G.

doi:10.1007/s10773-008-9825-8

Cited by 33 publications

(37 citation statements)

References 19 publications

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“…Also, Alfonso Rueda and Bernard Haisch have shown the inertia and gravitation nexus with the vacuum fields by using their quantum vacuum inertia hypothesis [4]. One point of argument is the subject of how the addition of the ZPF leads from classical angular momentum to the quantum mechanical case [5,6]. It may also be mentioned that the existence of the ZPF is brought out by the celebrated experimental Lambshift [7] of about 1000 Mega cycles/sec and more recently in the Cosmic Radio Wave Background which is a direct consequence of the Lambshift and indeed is a footprint of the all pervading ZPF [8].…”

Section: Introductionmentioning

confidence: 99%

The Anomalous Gyromagnetic Ratio

Sidharth¹,

Das

Roy

2015

Int J Theor Phys

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With this approach we endeavour to bring about the justification of the Zero Point Field (ZPF) and its feasible nature. We commence our work by combining the vector potential associated with the ZPF electromagnetic vector potential, thereby modifying the elctromagnetic field. This modification explains certain phenomena regarding the spin of a slowly moving electron in the electromagnetic field and the observed electron g-factor including Schwinger's corrections.

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Section: Introductionmentioning

confidence: 99%

The Anomalous Gyromagnetic Ratio

Sidharth¹,

Das

Roy

2015

Int J Theor Phys

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“…However, this concept is controversial and was challenged by Krekora et al [10]. The existence of Zitterbewegung, in relativistic quantum mechanics and in quantum field theory, has been a recurrent subject of discussion over the past years [10][11][12]. The interest in Zitterbewegung was recently rekindled due to its analog in Dirac-like systems [13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Propagation of a relativistic electron wave packet in the Dirac equation

Park

2012

Phys. Rev. A

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Solving the Dirac equation is a formidable task due to the high frequency and the degrees of freedom involved. However, this high frequency allows one to obtain an approximation to the equation. Here, we directly solve the Dirac equation using an envelope method and derive analytical solutions of Dirac wave packets to first order for the small momentum spread. We apply the insight gained from this solution to the Zitterbewegung behavior in a Dirac-like system, where we show that it is crucial to include the first-order term in our solution to correctly describe a Dirac packet.

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“…The unit vector σ 2 is defined in terms of complex vectors in Equation (33) and the product σ 1 σ 2 = i represents the pseudoscalar or unit bivector. The vector σ 2 is now defined as σ 2 = σ 1 i.…”

Section: Geoemtric Algebra Of One and Two Dimensionsmentioning

confidence: 99%

“…Schrödinger examined the behavior of Dirac electron and discovered the so called zitterbewegung motion or the trembling motion of electron. In the Schrödinger's zitterbewegung derivation [32,33], the Dirac Hamiltonian for a free electron can be expressed as…”

Section: Elementary Particle Dynamicsmentioning

confidence: 99%

“…The approach of extended particle structure was developed by Wyssenhoff and Raabe [41], Barut and Zhanghi [34], Salesi and Recami [42] and others. The mass of the particle is seen as the energy of oscillations confined to a region of space of dimensions of the order of Compton wavelength [33]. The local spin rotation produced by the zeropoint field allows us to interpret the mass of the particle as the local spatial complex rotation in the particle rest frame [12].…”

Section: Elementary Particle Dynamicsmentioning

confidence: 99%

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Algebra of Complex Vectors and Applications in Electromagnetic Theory and Quantum Mechanics

Muralidhar

2015

Mathematics

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A complex vector is a sum of a vector and a bivector and forms a natural extension of a vector. The complex vectors have certain special geometric properties and considered as algebraic entities. These represent rotations along with specified orientation and direction in space. It has been shown that the association of complex vector with its conjugate generates complex vector space and the corresponding basis elements defined from the complex vector and its conjugate form a closed complex four dimensional linear space. The complexification process in complex vector space allows the generation of higher n-dimensional geometric algebra from (n − 1)-dimensional algebra by considering the unit pseudoscalar identification with square root of minus one. The spacetime algebra can be generated from the geometric algebra by considering a vector equal to square root of plus one. The applications of complex vector algebra are discussed mainly in the electromagnetic theory and in the dynamics of an elementary particle with extended structure. Complex vector formalism simplifies the expressions and elucidates geometrical understanding of the basic concepts. The analysis shows that the existence of spin transforms a classical oscillator into a quantum oscillator. In conclusion the classical mechanics combined with zeropoint field leads to quantum mechanics.

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Revisiting Zitterbewegung

Cited by 33 publications

References 19 publications

The Anomalous Gyromagnetic Ratio

The Anomalous Gyromagnetic Ratio

Propagation of a relativistic electron wave packet in the Dirac equation

Algebra of Complex Vectors and Applications in Electromagnetic Theory and Quantum Mechanics

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