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  1. 6 Galilei Invariant Wave Equations

    According to the results of the previous sections, a free elementary quantum object that is invariant under the Galilei group is described by an...
    Gianni Cassinelli, Ernesto De Vito, ... Alberto Levrero in The Theory of Symmetry Actions in Quantum Mechanics
    Chapter
  2. On the group-theoretical approach to relativistic wave equations for arbitrary spin

    Abstract

    Formulating a relativistic equation for particles with arbitrary spin remains an open challenge in theoretical physics. In this study,...

    Article 22 November 2021
  3. Influence of upper hybrid wave on electron acceleration by Laguerre–Gaussian pulse in relativistic-ponderomotive plasma

    In the present work, the dynamics of laser pulse with Laguerre–Gaussian (LG) laser profile in both space and time domains have been analyzed inside a...

    Proxy Kad, Arvinder Singh in Optical and Quantum Electronics
    Article 27 January 2024
  4. Equations of Quantum Relativistic Hydrodynamics and Soliton Solutions in Describing Nucleus–Nucleus Collisions

    Abstract

    The equations of quantum relativistic hydrodynamics are derived from the Klein–Gordon equation. In the nonrelativistic semiclassical...

    A. T. D’yachenko in Physics of Atomic Nuclei
    Article 21 June 2023
  5. Solution of Relativistic Feshbach–Villars Spin-1/2 Equations

    We propose a computational method for relativistic spin-1/2 particles by solving the corresponding Feshbach–Villars equation. We have found that the...

    D. Wingard, A. Garcia Vallejo, Z. Papp in Few-Body Systems
    Article 23 March 2024
  6. Derivation of the Quantum Wave Equations Based on Wave Excitation in the Vacuum

    In the quantum wave modelQuantum wave model, a quantum particleQuantum particle is identified as a quantized excitation wave of the vacuumExcitation...
    Donald C. Chang in On the Wave Nature of Matter
    Chapter 2024
  7. Relativistic minisuperspaces in Finslerian background

    In one of the approaches to quantization of gravity, the Wheeler–DeWitt equation for the wave function of the universe appeared long ago. Presently,...

    S. S. De, Farook Rahaman, Antara Mapdar in Indian Journal of Physics
    Article 13 July 2024
  8. Neo-classical Relativistic Mechanics Theory for Electrons that Exhibits Spin, Zitterbewegung, Dipole Moments, Wavefunctions and Dirac’s Wave Equation

    In this work, a neo-classical relativistic mechanics theory is presented where the spin of an electron is an inherent part of its world space-time...

    James L. Beck in Foundations of Physics
    Article 16 May 2023
  9. Relativistic Density-Functional Theories

    This chapter introduces the relativistic density-functional theory in nuclear physics. After a brief introduction on the history, advantages, and...
    Jie Meng, Pengwei Zhao in Handbook of Nuclear Physics
    Reference work entry 2023
  10. Beam-Driven Growth of Lower Hybrid Wave in a Magnetized Relativistic Beam-Plasma System

    In this work, a problem based on fluid theory of parametric decay of a lower hybrid wave in a magnetized relativistic beam-plasma system has been...

    Rajesh Gupta, Suresh C. Sharma, ... Devki Nandan Gupta in Journal of Fusion Energy
    Article 06 June 2023
  11. Breakdown of smooth solutions to the Müller–Israel–Stewart equations of relativistic viscous fluids

    We consider equations of Müller–Israel–Stewart type describing a relativistic viscous fluid with bulk viscosity in four-dimensional Minkowski space....

    Marcelo M. Disconzi, Vu Hoang, Maria Radosz in Letters in Mathematical Physics
    Article 15 May 2023
  12. On the local well-posedness for the relativistic Euler equations for a liquid body

    We prove a local existence theorem for the free boundary problem for a relativistic fluid in a fixed spacetime. Our proof involves an a priori...

    Daniel Ginsberg, Hans Lindblad in Annals of PDE
    Article 01 December 2023
  13. Effect of incoherence in a heavy nucleus nonlinear wave in a degenerate relativistic magneto-rotating quantum plasma

    Abstract

    Effect of incoherence is investigated in detail on the nonlinear excitations in a heavy nucleus degenerate relativistic magneto-rotating...

    Shatadru Chaudhuri, A. Roy Chowdhury, K. Roy Chowdhury in The European Physical Journal D
    Article 30 October 2023
  14. Aspects of non-relativistic quantum field theories

    Non-relativistic quantum field theory is a framework that describes systems where the velocities are much smaller than the speed of light. A large...

    Stefano Baiguera in The European Physical Journal C
    Article Open access 14 March 2024
  15. Highly Selective Oversized Slotted Cavities for Relativistic Millimeter Wave Gyrotrons

    Abstract

    Based on an analytical approach and numerical simulation, it is shown that, in an oversized cylindrical cavity with M longitudinal slits,...

    Y. Y. Danilov, A. N. Leontyev, ... N. S. Ginzburg in Doklady Physics
    Article 01 June 2022
  16. Calculation of Relativistic Single-Particle States

    A computational method is proposed to calculate bound and resonant states by solving the Klein–Gordon and Dirac equations for real and complex...

    D. Wingard, B. Kónya, Z. Papp in Few-Body Systems
    Article 13 November 2023
  17. Solving the relativistic Toda lattice equation via the generalized exponential rational function method

    In this article, we focus on a specific version of the NDDEs which is the relativistic Toda lattice equation. We employ the generalized exponential...

    Mostafa Eslami, Samira Heidari, ... Yasin Asghari in Optical and Quantum Electronics
    Article 06 February 2024
  18. Probability Conservation for Multi-time Integral Equations

    In relativistic quantum theory, one sometimes considers integral equations for a wave function...
    Matthias Lienert in Physics and the Nature of Reality
    Chapter 2024
  19. Generalized Wigner Operators and Relativistic Gauge Fields

    Abstract

    We introduce and study the generalized Wigner operator. By definition, such an operator transforms the Wigner wave function into a local...

    I. L. Buchbinder, A. P. Isaev, ... S. A. Fedoruk in Physics of Particles and Nuclei Letters
    Article 08 August 2023
  20. Combined effect of relativistic and ponderomotive nonlinearities on self-focusing of asymmetric finite Airy–Gaussian laser beams in plasma

    This paper presents an investigation of combined effect of relativistic and ponderomotive nonlinearities on self-focusing of finite Airy–Gaussian...

    P. P. Nikam, P. P. Patil, ... S. D. Patil in Journal of Optics
    Article 15 December 2023
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