Heisenberg uncertainty relations for relativistic bosons

• URL: http://arxiv.org/abs/2103.02514v2
• Date: Wed, 2 Jun 2021 14:05:45 GMT
• Title: Heisenberg uncertainty relations for relativistic bosons
• Authors: Iwo Bialynicki-Birula and Adam Prystupiuk
• Abstract summary: This work completes the program started in citebb1,bb2,bb3 to derive the Heisenberg uncertainty relation for relativistic particles.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This work completes the program started in \cite{bb1,bb2,bb3} to derive the Heisenberg uncertainty relation for relativistic particles. Sharp uncertainty relations for massive relativistic particles with spin 0 and spin 1 are derived. The main conclusion is that the uncertainty relations for relativistic bosons are markedly different from those for relativistic fermions. The uncertainty relations for bosons are based on the energy density. It is shown that the uncertainty relations based on the time-component of the four-current, as was have done in \cite{bb3} for electrons, are untenable because they lead to contradictions.

Related papers

• Leading correction to the relativistic Foldy-Wouthuysen Hamiltonian [55.2480439325792]
  We rigorously derive a leading correction in the weak-field approximation to the known relativistic Foldy-Wouthuysen Hamiltonian. For Dirac particles, the relativistic wave equation of the second order is obtained with the correction similar to that to the Foldy-Wouthuysen Hamiltonian.
  arXiv  Detail & Related papers  (2024-08-03T12:53:41Z)
• Entropic uncertainty relations in Schwarzschild space-time [10.560954016047198]
  We propose a generalized entropic uncertainty relation for arbitrary multiple-observable in multipartite system. We discuss the proposed uncertainty relations and quantum coherence in the context of Schwarzschild space-time.
  arXiv  Detail & Related papers  (2024-07-18T02:26:21Z)
• Dynamics Investigation of the quantum-control-assisted multipartite uncertainty relation in Heisenberg model with Dzyaloshinski-Moriya interaction [10.664589057582157]
  Zheng constructs a quantum-control-assisted multipartite variance-based uncertainty relation. We investigate the dynamics of the new uncertainty relation in the Heisenberg system with the Dzyaloshinski-Moriya interaction.
  arXiv  Detail & Related papers  (2023-08-25T12:11:42Z)
• Particle exchange statistics beyond fermions and bosons [12.031278034659872]
  It is commonly believed that there are only two types of particle exchange statistics in quantum mechanics, fermions and bosons. We show that non parastatistics inequivalent to either fermions or bosons can exist in physical systems.
  arXiv  Detail & Related papers  (2023-08-09T19:51:07Z)
• Quantum Uncertainty Dynamics [0.0]
  We discover a temporal version of the Heisenberg-Robertson uncertainty relations for the measurement of two observables at two different times. The uncertainties depend on the choice of observables, and they also depend on the times at which the physical observables are measured.
  arXiv  Detail & Related papers  (2022-06-27T09:48:35Z)
• Relativistic potential energy of a bound particle (Non-dissipative relativistic harmonic oscillator) [0.0]
  This study is essentially concerned with the relativistic mass, where the Lorentz factor transforms the state of the second-order differential equation of an NDHO from linear into nonlinear. The results are finally confirmed by demonstrating energy conservation since the sum of kinetic and potential energies remains constant throughout the non relativistic and relativistic regimes.
  arXiv  Detail & Related papers  (2022-03-04T01:26:05Z)
• Regularized Zero-Range Hamiltonian for a Bose Gas with an Impurity [77.34726150561087]
  We study the Hamiltonian for a system of N identical bosons interacting with an impurity. We introduce a three-body force acting at short distances. The effect of this force is to reduce to zero the strength of the zero-range interaction between two particles.
  arXiv  Detail & Related papers  (2022-02-25T15:34:06Z)
• Uncertainty Relations for the Relativistic Jackiw-Nair Anyon: A First Principles Derivation [0.0]
  We explicitly compute the $position-position$ and $position-momentum$ (Heisenberg) Uncertainty Relations for the model of relativistic particles with arbitrary spin. We show that the identical textitformalism when applied to electrons, yield a trivial position uncertainty relation, consistent with their living in a 3-dimensional commutative space.
  arXiv  Detail & Related papers  (2021-07-20T08:57:17Z)
• Relative entropic uncertainty relation for scalar quantum fields [0.0]
  We introduce the notion of a functional relative entropy and show that it has a meaningful field theory limit. We show that the relation implies the multidimensional Heisenberg uncertainty relation.
  arXiv  Detail & Related papers  (2021-07-16T11:15:07Z)
• Observations of near-perfect nonclassical correlation using coherent light [12.507208769851653]
  We show the physics of anticorrelation on a beam splitter using sub-Poisson distributed coherent photons. A particular phase relation between paired photons is unveiled for anticorrelation, satisfying the complementarity theory of quantum mechanics.
  arXiv  Detail & Related papers  (2021-05-05T04:27:51Z)
• Entropic uncertainty relation in Garfinkle-Horowitz-Strominger dilation black hole [0.0]
  Heisenberg's uncertainty principle is a fundamental element in quantum mechanics. In quantum information theory, the uncertainty principle can be expressed using entropic measures. We consider a model in which the memory particle is located near the event horizon outside the black hole.
  arXiv  Detail & Related papers  (2020-06-05T11:53:08Z)

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.