Multi-Time Version of the Landau-Peierls Formulation of Quantum Electrodynamics

• URL: http://arxiv.org/abs/2410.04535v1
• Date: Sun, 6 Oct 2024 16:06:41 GMT
• Title: Multi-Time Version of the Landau-Peierls Formulation of Quantum Electrodynamics
• Authors: Matthias Lienert, Roderich Tumulka,
• Abstract summary: Landau and Peierls wrote down the Hamiltonian of a simplified version of quantum electrodynamics in the particle-position representation. We present a multi-time version of their Schr"odinger equation, which bears several advantages over their original equation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Landau and Peierls wrote down the Hamiltonian of a simplified version of quantum electrodynamics in the particle-position representation. We present a multi-time version of their Schr\"odinger equation, which bears several advantages over their original equation: the time evolution equations are simpler and more natural; they are more transparent with respect to choice of gauge; and, perhaps most importantly, they are manifestly Lorentz covariant. We discuss properties of the multi-time equations. Along the way, we also discuss the Lorentz covariant 3d Dirac delta distribution for spacelike surfaces and the inner product of photon wave functions on spacelike surfaces in an arbitrary gauge.

Related papers

• Lorentz covariant physical Brownian motion: Classical and quantum [0.0]
  We re-examine the Goldstein-Kacc velocity switching model from two points of view. We prove that the forward and backward Chapman-Kolmogorov equations of the process are Lorentz covariant. We verify that transitions between states with disjoint supports in space-time cannot occur.
  arXiv  Detail & Related papers  (2024-07-12T00:49:36Z)
• Looking for Carroll particles in two time spacetime [55.2480439325792]
  Carroll particles with a non-vanishing value of energy are described in the framework of two time physics. We construct the quantum theory of such a particle using an unexpected correspondence between our parametrization and that obtained by Bars for the hydrogen atom in 1999.
  arXiv  Detail & Related papers  (2023-10-29T15:51:41Z)
• Third quantization of open quantum systems: new dissipative symmetries and connections to phase-space and Keldysh field theory formulations [77.34726150561087]
  We reformulate the technique of third quantization in a way that explicitly connects all three methods. We first show that our formulation reveals a fundamental dissipative symmetry present in all quadratic bosonic or fermionic Lindbladians. For bosons, we then show that the Wigner function and the characteristic function can be thought of as ''wavefunctions'' of the density matrix.
  arXiv  Detail & Related papers  (2023-02-27T18:56:40Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• 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)
• Covariant Guiding Laws for Fields [0.0]
  We study the analogous question for the Lorentz-covariant dynamics of fields on spacelike slices of spacetime. We propose a covariant guiding law for the temporal evolution of fields defined on constant time slices of spacetime.
  arXiv  Detail & Related papers  (2021-10-19T01:32:28Z)
• Stochastic Variational Approach to Small Atoms and Molecules Coupled to Quantum Field Modes [55.41644538483948]
  We present a variational calculation (SVM) of energies and wave functions of few particle systems coupled to quantum fields in cavity QED. Examples for a two-dimensional trion and confined electrons as well as for the He atom and the Hydrogen molecule are presented.
  arXiv  Detail & Related papers  (2021-08-25T13:40:42Z)
• Time and Evolution in Quantum and Classical Cosmology [68.8204255655161]
  We show that it is neither necessary nor sufficient for the Poisson bracket between the time variable and the super-Hamiltonian to be equal to unity in all of the phase space. We also discuss the question of switching between different internal times as well as the Montevideo interpretation of quantum theory.
  arXiv  Detail & Related papers  (2021-07-02T09:17:55Z)
• On Lorentz invariant complex scalar fields [0.0]
  We show that the spacetime dependent phase $f(x)$ is the most natural relativistic extension of the phase associated with the transformation rule for the non-relativistic Schroedinger wave function. We then generalize the previous analysis by postulating that $Psi(x)$ transforms according to the above rule under proper Lorentz transformations.
  arXiv  Detail & Related papers  (2020-10-21T18:00:26Z)
• Spacetime as a Tightly Bound Quantum Crystal [0.0]
  We show that reparametrization of space and time can be used to formulate quantum physics in a way that is naturally conducive to relativity. We speculate on the fact that our formulation can be used to model dynamics in spacetime the same way that one models propagation of an electron through a crystal lattice in solid state physics.
  arXiv  Detail & Related papers  (2020-09-22T21:59:47Z)
• Consistency Proof for Multi-Time Schrodinger Equations with Particle Creation and Ultraviolet Cut-Off [0.0]
  We show the existence and uniqueness of a smooth solution for every initial wave function from a certain class that corresponds to a dense subspace in the appropriate Hilbert space. We give here a rigorous version of the argument after introducing an ultraviolet cut-off into the creation and annihilation terms of the multi-time evolution equations.
  arXiv  Detail & Related papers  (2020-01-16T16:14:00Z)

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.