Related papers: Self-interacting quantum particles

Self-interacting quantum particles

URL: http://arxiv.org/abs/2403.02935v1
Date: Tue, 5 Mar 2024 12:53:42 GMT
Title: Self-interacting quantum particles
Authors: Sergio Giardino
Abstract summary: The real Hilbert space formalism developed within the quaternionic quantum mechanics ($mathbb H$QM) is fully applied to the simple model of the autonomous particle. This framework permits novel insights within the usual description of the complex autonomous particle.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: The real Hilbert space formalism developed within the quaternionic quantum mechanics ($\mathbb H$QM) is fully applied to the simple model of the autonomous particle. This framework permits novel insights within the usual description of the complex autonomous particle, particulaly concening the energy of a non-stationary motion. Through the appraisal of the physical role played by a fully quaternionic scalar potential, a original self-interaction within the quaternionic autonomous particle has been determined as well. Scattering processes are considered to illustrate these novel features.

Related papers

Non-local quench spectroscopy of fermionic excitations in 1D quantum spin chains [0.0]
We show theoretically that emphquench spectroscopy can reconstruct accurately the dispersion relation of fermionic quasiparticles in spin chains. Our analysis is based on new exact results for the quench dynamics of quantum spin chains.
arXiv Detail & Related papers (2024-07-20T08:24:01Z)
Hysteresis and Self-Oscillations in an Artificial Memristive Quantum Neuron [79.16635054977068]
We study an artificial neuron circuit containing a quantum memristor in the presence of relaxation and dephasing. We demonstrate that this physical principle enables hysteretic behavior of the current-voltage characteristics of the quantum device.
arXiv Detail & Related papers (2024-05-01T16:47:23Z)
A non-hermitean momentum operator for the particle in a box [49.1574468325115]
We show how to construct the corresponding hermitean Hamiltonian for the infinite as well as concrete example. The resulting Hilbert space can be decomposed into a physical and unphysical subspace.
arXiv Detail & Related papers (2024-03-20T12:51:58Z)
Quantum stochastic trajectories for particles and fields based on positive P-representation [0.0]
We introduce a phase-space description based on the positive P representation for bosonic fields interacting with a system of quantum emitters. The formalism is applicable to collective light-matter interactions and open quantum systems with decoherence. A potential future application is the quantum mechanical description of collective spontaneous emission of an incoherently pumped ensemble of atoms.
arXiv Detail & Related papers (2023-06-30T08:38:47Z)
Universality of critical dynamics with finite entanglement [68.8204255655161]
We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
arXiv Detail & Related papers (2023-01-23T19:23:54Z)
Completing the quantum ontology with the electromagnetic zero-point field [0.0]
This text begins with a series of critical considerations on the initial interpretation of quantum phenomena observed in atomic systems. Arguments are given in favour of the random zero-point radiation field (ZPF) as the element needed to complete the quantum process. The permanent presence of the field drastically affects the dynamics of the particle, which eventually falls under the control of the field.
arXiv Detail & Related papers (2022-07-13T23:11:48Z)
Spin and Contextuality in Extended de Broglie-Bohm-Bell Quantum Mechanics [0.0]
This paper introduces an extension of the de Broglie-Bohm-Bell-Bell formulation of quantum mechanics. It includes intrinsic particle degrees of freedom, such as spin, as elements of reality.
arXiv Detail & Related papers (2022-03-26T09:29:57Z)
Self-oscillating pump in a topological dissipative atom-cavity system [55.41644538483948]
We report on an emergent mechanism for pumping in a quantum gas coupled to an optical resonator. Due to dissipation, the cavity field evolves between its two quadratures, each corresponding to a different centrosymmetric crystal configuration. This self-oscillation results in a time-periodic potential analogous to that describing the transport of electrons in topological tight-binding models.
arXiv Detail & Related papers (2021-12-21T19:57:30Z)
Quantum particle across Grushin singularity [77.34726150561087]
We study the phenomenon of transmission across the singularity that separates the two half-cylinders. All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection. This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
arXiv Detail & Related papers (2020-11-27T12:53:23Z)
On the physical origin of the quantum operator formalism [0.0]
We offer a clear physical explanation for the emergence of the quantum operator formalism. We revisit the role of the vacuum field in quantum mechanics.
arXiv Detail & Related papers (2020-11-24T02:44:44Z)
Feynman Propagator for a System of Interacting Scalar Particles in the Fokker Theory [62.997667081978825]
The functional integral on the generalized phase space is defined as the initial one in quantum theory. The measure of integration in the generalized configuration space of world particle lines is determined. A modification of the propagator is proposed, in which the role of independent time parameters is taken by the time coordinates of the particles in Minkowski space.
arXiv Detail & Related papers (2020-02-10T09:09:45Z)

This list is automatically generated from the titles and abstracts of the papers in this site.