To the quantum limitations in beam physics

Mikhailichenko, A.

doi:10.1109/pac.1999.792947

Cited by 2 publications

(2 citation statements)

References 8 publications

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“…We observe that momentum spread can considerably decrease the beam transverse emittance, for the particles occupy different states of axial momentum so that they can be compacted in a smaller transverse phase-space. This behavior cannot been taken into account when considering a spherically symmetric Fermi-sea, as in [10], but analogous results can be found in [11] for the case of quantum oscillators. For a relativistic bunch of electrons corresponding to N = 10 9 , with length L = 10 −4 m (300 fs) and momentum spread ∆p z ≃ mc (half a MeV), the quantum limited emittance value is of the order of 1 pm and the Fermi level is n F ≃ 3.…”

Section: Transverse Beam Emittance: the Quantum Limitmentioning

confidence: 80%

Quantum Limit for the Emittance of Dirac Particles Carrying Orbital Angular Momentum

Curcio,

Cianchi,

Ferrario

2024

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In this article, we highlight that the interaction potential confining Dirac particles in a box must be invariant under the charge conjugation to avoid the Klein paradox, in which an infinite number of negative-energy particles are excited. Furthermore, we derive the quantization rules for a relativistic particle in a cylindrical box, which emulates the volume occupied by a beam of particles with a non-trivial aspect ratio. We apply our results to the evaluation of the quantum limit for emittance in particle accelerators. The developed theory allows the description of quantum beams carrying Orbital Angular Momentum (OAM). We demonstrate how the degeneracy pressure is such to increase the phase–space area of Dirac particles carrying OAM. The results dramatically differ from the classical evaluation of phase–space areas, that would foresee no increase in emittance for beams in a coherent state of OAM. We discuss the quantization of the phase–space cell’s area for single Dirac particles carrying OAM, and, finally, provide an interpretation of the beam entropy as the measure of how much the phase–space area occupied by the beam deviates from its quantum limit.

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Section: Transverse Beam Emittance: the Quantum Limitmentioning

confidence: 80%

Quantum Limit for the Emittance of Dirac Particles Carrying Orbital Angular Momentum

Curcio,

Cianchi,

Ferrario

2024

Particles

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“…The question about lowest possible emittance for moving bunch was initiated in [1], [2]. This subject has crucial importance for acceleration in microstructures, scaled down to the laser wavelengths.…”

Section: Introductionmentioning

confidence: 99%

Damping ring for generation of positroniums and investigation of Fermi degeneration in moving beams

Mikhailichenko

Proceedings of the 2003 Bipolar/BiCMOS Circuits and Technology Meeting (IEEE Cat. No.03CH37440)

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Kayak-paddle look-like damping ring developed as injector for a laser driven linear accelerator with microstructures [1], allows beam emittance, which is defined by quantum effects in electron-positron gas of particles in the bunch. Utilization of co-directionally moving congruent electron and positron bunches allowing production of positronium beam with ~10 10 parapositroniums per second. This arrangement might be a step toward investigation of the nature of Fermidegeneration in moving beams.

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To the quantum limitations in beam physics

Abstract: The conditions reviewed for degeneration in an electron bunch treated as a Fermi gas. Some comparison made for photoinjectors and storage rings. In some cases a quantum limitations are very close.

Cited by 2 publications

References 8 publications

Quantum Limit for the Emittance of Dirac Particles Carrying Orbital Angular Momentum

Quantum Limit for the Emittance of Dirac Particles Carrying Orbital Angular Momentum

Damping ring for generation of positroniums and investigation of Fermi degeneration in moving beams

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