The four-dimensional position operator, coherent states and representations of the conformal group

Haba, Z.

doi:10.1007/bf02730487

Cited by 4 publications

(3 citation statements)

References 18 publications

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“…where every component z ij is a complex function whose real part describes the position and its imaginary part describes the dispersion of the position [63].…”

Section: Resultsmentioning

confidence: 99%

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Study Zitterbewegung effect in a quasi one-dimensional relativistic quantum plasma by Dirac-Heisenberg-Wigner formalization

Juneghani

Bagheri

Shokri

2021

J. Cosmol. Astropart. Phys.

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The trembling motion of moving electrons, known as Zitterbewegung effect, in quasi-one-dimensional relativistic quantum plasma is theoretically investigated by using Dirac equation together with the Wigner distribution function. The relativistic Wigner matrix is used to calculate the mean values of the position and velocity operators for a Dirac gas of electrons. It is found that the oscillatory behavior of measurable quantities could be associated with the Zitterbewegung effect which manifests itself as a damping interference pattern stemming from mixing the positive and negative dispersion modes of Dirac particles.

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“…where every component z ij is a complex function whose real part describes the position and its imaginary part describes the dispersion of the position [63].…”

Section: Resultsmentioning

confidence: 99%

“…In the relativistic quantum field theory strict covariant localization of the field quanta is impossible. So, the quantum field is not a function of a point in Minkowski space (it is a distribution) but it has to be smeared out over some region in the spacetime [63]. The ZB oscillations are damped and their amplitudes gradually decrease.…”

Section: Resultsmentioning

confidence: 99%

Study Zitterbewegung effect in a quasi one-dimensional relativistic quantum plasma by Dirac-Heisenberg-Wigner formalization

Juneghani

Bagheri

Shokri

2021

J. Cosmol. Astropart. Phys.

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“…In [17,18] the charges of the special conformal transformations have become candidates for a relativistic four position operator. From a different point of view this has also been studied in [19][20][21]. In detail we will discuss below [22].…”

Section: Embedding Our Approachmentioning

confidence: 99%

Conjugate variables in quantum field theory and a refinement of Pauli’s theorem

Pottel¹,

Sibold²

2016

Phys. Rev. D

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For the case of spin zero we construct conjugate pairs of operators on Fock space. On states multiplied by polarization vectors coordinate operators Q conjugate to the momentum operators P exist. The massive case is derived from a geometrical quantity, the massless case is realized by taking the limit m 2 → 0 on the one hand, on the other from conformal transformations. Crucial is the norm problem of the states on which the Q's act: they determine eventually how many independent conjugate pairs exist. It is intriguing that (light-) wedge variables and hence the wedge-local case seems to be preferred. 1

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The four-dimensional position operator in theories with broken conformal symmetry

Haba

1976

Nuov Cim A

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The four-dimensional position operator, coherent states and representations of the conformal group

Cited by 4 publications

References 18 publications

Study Zitterbewegung effect in a quasi one-dimensional relativistic quantum plasma by Dirac-Heisenberg-Wigner formalization

Study Zitterbewegung effect in a quasi one-dimensional relativistic quantum plasma by Dirac-Heisenberg-Wigner formalization

Conjugate variables in quantum field theory and a refinement of Pauli’s theorem

The four-dimensional position operator in theories with broken conformal symmetry

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