A complete set of Lorentz-invariant wave packets and modified uncertainty relation

• URL: http://arxiv.org/abs/2104.01798v4
• Date: Wed, 25 Jan 2023 01:19:39 GMT
• Title: A complete set of Lorentz-invariant wave packets and modified uncertainty relation
• Authors: Kin-ya Oda and Juntaro Wada
• Abstract summary: We show that a Lorentz-invariant wave packet spans the corresponding one-particle Hilbert subspace, and hence the whole Fock space as well. The position-momentum uncertainty relation for this Lorentz-invariant wave packet deviates from the ordinary Heisenberg uncertainty principle, and reduces to it in the non-relativistic limit.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We define a set of fully Lorentz-invariant wave packets and show that it spans the corresponding one-particle Hilbert subspace, and hence the whole Fock space as well, with a manifestly Lorentz-invariant completeness relation (resolution of identity). The position-momentum uncertainty relation for this Lorentz-invariant wave packet deviates from the ordinary Heisenberg uncertainty principle, and reduces to it in the non-relativistic limit.

Related papers

• Quantum Random Walks and Quantum Oscillator in an Infinite-Dimensional Phase Space [45.9982965995401]
  We consider quantum random walks in an infinite-dimensional phase space constructed using Weyl representation of the coordinate and momentum operators. We find conditions for their strong continuity and establish properties of their generators.
  arXiv  Detail & Related papers  (2024-06-15T17:39:32Z)
• Matter relative to quantum hypersurfaces [44.99833362998488]
  We extend the Page-Wootters formalism to quantum field theory. By treating hypersurfaces as quantum reference frames, we extend quantum frame transformations to changes between classical and nonclassical hypersurfaces.
  arXiv  Detail & Related papers  (2023-08-24T16:39:00Z)
• Covariant quantum field theory of tachyons [0.0]
  Three major misconceptions concerning quantized tachyon fields are shown to be a result of misrepresenting the Lorentz group in a too small Hilbert space. We establish an explicitly covariant framework that allows for the proper quantization of the tachyon fields eliminating all of these issues.
  arXiv  Detail & Related papers  (2023-08-01T11:00:14Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Modified entropies as the origin of generalized uncertainty principles [0.0]
  Heisenberg uncertainty principle is connected to the entropic uncertainty principle. Due to quantum gravity effects the Heisenberg uncertainty principle has been extended to a Generalized Uncertainty Principle (GUP)
  arXiv  Detail & Related papers  (2022-06-28T17:23:32Z)
• Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
  Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
  arXiv  Detail & Related papers  (2022-04-24T13:32:45Z)
• Genuine multipartite entanglement and quantum coherence in an electron-positron system: Relativistic covariance [117.44028458220427]
  We analyze the behavior of both genuine multipartite entanglement and quantum coherence under Lorentz boosts. A given combination of these quantum resources is shown to form a Lorentz invariant.
  arXiv  Detail & Related papers  (2021-11-26T17:22:59Z)
• Bekenstein bound and uncertainty relations [0.0]
  We show how Bekenstein bound is affected when Heisenberg uncertainty relation is deformed so as to accommodate gravitational effects close to Planck scale. Physical implications of this result are discussed for both cases of positive and negative values of the deformation parameter.
  arXiv  Detail & Related papers  (2020-09-26T08:11:05Z)
• Covariant Quantum Mechanics and Quantum Spacetime [0.0]
  The basic representation is identified as a coherent state representation, essentially an irreducible component of the regular representation. Explicit wavefunction description is given without any restriction of the variable domains, yet with a finite integral inner product.
  arXiv  Detail & Related papers  (2020-02-04T08:55:56Z)
• Analysis on Complete Set of Fock States with Explicit Wavefunctions for the Covariant Harmonic Oscillator Problem [0.0]
  Lorentz symmetry fully maintained without additional constraints imposed. Full picture including states with non-positive norm may give consistent physics picture as a version of Lorentz covariant quantum mechanics.
  arXiv  Detail & Related papers  (2020-02-04T03:51:47Z)
• Bell's theorem for trajectories [62.997667081978825]
  A trajectory is not an outcome of a quantum measurement, in the sense that there is no observable associated with it. We show how to overcome this problem by considering a special case of our generic inequality that can be experimentally tested point-by-point in time.
  arXiv  Detail & Related papers  (2020-01-03T01:40:44Z)

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

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.