Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Lienert, Matthias"'
Autor:
Lienert, Matthias
In relativistic quantum theory, one sometimes considers integral equations for a wave function $\psi(x_1,x_2)$ depending on two space-time points for two particles. A serious issue with such equations is that, typically, the spatial integral over $|\
Externí odkaz:
http://arxiv.org/abs/2210.05759
Autor:
Lienert, Matthias, Nöth, Markus
Here we consider an integral equation describing a fixed number of scalar particles which interact not through boson exchange but directly along light cones, similarly as in bound state equations such as the Bethe-Salpeter equation. The equation invo
Externí odkaz:
http://arxiv.org/abs/2003.08677
Publikováno v:
Lett. Math. Phys. vol.110, pp.3153-3195 (2020)
A Lorenz-covariant system of wave equations is formulated for a quantum-mechanical two-body system in one space dimension, comprised of one electron and one photon. Manifest Lorentz covariance is achieved using Dirac's formalism of multi-time wave fu
Externí odkaz:
http://arxiv.org/abs/1906.03632
Autor:
Lienert, Matthias, Nöth, Markus
Publikováno v:
Reviews in Mathematical Physics, Vol. 33 (2021) 2150023
Here we prove the existence and uniqueness of solutions of a class of integral equations describing two Dirac particles in 1+3 dimensions with direct interactions. This class of integral equations arises naturally as a relativistic generalization of
Externí odkaz:
http://arxiv.org/abs/1903.06020
Autor:
Lienert, Matthias, Nickel, Lukas
Publikováno v:
Reviews in Mathematical Physics, Vol. 32, No. 1 (2020) 2050004
Interior-boundary conditions (IBCs) have been suggested as a possibility to circumvent the problem of ultraviolet divergences in quantum field theories. In the IBC approach, particle creation and annihilation is described with the help of linear cond
Externí odkaz:
http://arxiv.org/abs/1808.04192
Interacting relativistic quantum dynamics of two particles on spacetimes with a Big Bang singularity
Autor:
Lienert, Matthias, Tumulka, Roderich
Publikováno v:
Journal of Mathematical Physics 60: 042302 (2019)
Relativistic quantum theories are usually thought of as being quantum field theories, but this is not the only possibility. Here we consider relativistic quantum theories with a fixed number of particles that interact neither through potentials nor t
Externí odkaz:
http://arxiv.org/abs/1805.06348
Autor:
Lienert, Matthias, Tumulka, Roderich
Publikováno v:
J. Integral Equations Applications 31, 535-569 (2019)
Here we study a new kind of linear integral equations for a relativistic quantum-mechanical two-particle wave function $\psi(x_1,x_2)$, where $x_1,x_2$ are spacetime points. In the case of retarded interaction, these integral equations are of Volterr
Externí odkaz:
http://arxiv.org/abs/1803.08792
Autor:
Lienert, Matthias
Publikováno v:
J. Phys. A: Math. Theor. 51 435302 (2018)
Here, we point out that interactions with time delay can be described at the quantum level using a multi-time wave function $\psi(x_1,...,x_N)$, i.e., a wave function depending on one spacetime variable $x_i = (t_i,\mathbf{x}_i)$ per particle. In par
Externí odkaz:
http://arxiv.org/abs/1801.00060
Publikováno v:
Foundations of Physics, 47(12), 1582-1590 (2017)
Multi-time wave functions are wave functions for multi-particle quantum systems that involve several time variables (one per particle). In this paper we contrast them with solutions of wave equations on a space-time with multiple timelike dimensions,
Externí odkaz:
http://arxiv.org/abs/1708.03376