Search Results - "Lienert, Matthias"

Interacting relativistic quantum dynamics for multi-time wave functions by Lienert, Matthias

“…In this paper, we report on recent progress about a rigorous and manifestly covariant interacting model for two Dirac particles in 1+1 dimensions [9, 10]. It…”
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Born’s rule for arbitrary Cauchy surfaces by Lienert, Matthias, Tumulka, Roderich

“…Suppose that particle detectors are placed along a Cauchy surface Σ in Minkowski space-time, and consider a quantum theory with fixed or variable number of…”
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On the description of subsystems in relativistic hypersurface Bohmian mechanics by Dürr, Detlef, Lienert, Matthias

“…A candidate for a realistic relativistic quantum theory is the hypersurface Bohm–Dirac model. Its formulation uses a foliation of space–time into space-like…”
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Multi-Time Wave Functions Versus Multiple Timelike Dimensions by Lienert, Matthias, Petrat, Sören, Tumulka, Roderich

“…Multi-time wave functions are wave functions for multi-particle quantum systems that involve several time variables (one per particle). In this paper we…”
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On the description of subsystems in relativistic hypersurface Bohmian mechanics by Dürr, Detlef, Lienert, Matthias

“…A candidate for a realistic relativistic quantum theory is the hypersurface Bohm-Dirac model. Its formulation uses a foliation of space-time into space-like…”
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A Lorentz-covariant interacting electron–photon system in one space dimension by Kiessling, Michael K.-H., Lienert, Matthias, Tahvildar-Zadeh, A. Shadi

“…A Lorentz-covariant system of wave equations is formulated for a quantum-mechanical two-body system in one space dimension, comprised of one electron and one…”
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Probability conservation for multi-time integral equations by 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…”
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Multi-Time Version of the Landau-Peierls Formulation of Quantum Electrodynamics by Lienert, Matthias, Tumulka, Roderich

“…Landau and Peierls wrote down the Hamiltonian of a simplified version of quantum electrodynamics in the particle-position representation. We present a…”
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Direct interaction along light cones at the quantum level by Lienert, Matthias

“…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…”
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Existence of relativistic dynamics for two directly interacting Dirac particles in 1+3 dimensions by Lienert, Matthias, Nöth, Markus

“…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…”
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Singular light cone interactions of scalar particles in 1+3 dimensions by 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,…”
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Born's Rule for Arbitrary Cauchy Surfaces by Lienert, Matthias, Tumulka, Roderich

“…Lett. Math. Phys. 110, 753-804 (2020) Suppose that particle detectors are placed along a Cauchy surface $\Sigma$ in Minkowski space-time, and consider a…”
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Multi-time formulation of particle creation and annihilation via interior-boundary conditions by Lienert, Matthias, Nickel, Lukas

“…Reviews in Mathematical Physics, Vol. 32, No. 1 (2020) 2050004 Interior-boundary conditions (IBCs) have been suggested as a possibility to circumvent the…”
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Interacting relativistic quantum dynamics of two particles on spacetimes with a Big Bang singularity by Lienert, Matthias, Tumulka, Roderich

“…Journal of Mathematical Physics 60: 042302 (2019) Relativistic quantum theories are usually thought of as being quantum field theories, but this is not the…”
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A new class of Volterra-type integral equations from relativistic quantum physics by Lienert, Matthias, Tumulka, Roderich

“…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…”
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On the question of current conservation for the Two-Body Dirac equations of constraint theory by Lienert, Matthias

“…J. Phys. A: Math. Theor. 48 325302 (2015) The Two-Body Dirac equations of constraint theory are of special interest not only in view of applications for…”
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Properties of non-cryogenic DTs and their relevance for fusion by Ruhl, Hartmut, Bild, Christian, Jaura, Ondrej Pego, Lienert, Matthias, Nöth, Markus, Abril, Rafael Ramis, Korn, Georg

“…In inertial confinement fusion, pure deuterium-tritium (DT) is usually used as a fusion fuel. In their paper \cite{gus2011effect}, Guskov et al. instead…”
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A relativistically interacting exactly solvable multi-time model for two mass-less Dirac particles in 1+1 dimensions by Lienert, Matthias

“…J. Math. Phys. 56, 042301 (2015) The question how to Lorentz transform an N-particle wave function naturally leads to the concept of a so-called multi-time…”
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A simple explicitly solvable interacting relativistic N-particle model by Lienert, Matthias, Nickel, Lukas

“…J. Phys. A: Math. Theor. 48 325301 (2015) In this paper, we generalize a previous relativistic $1+1$-dimensional model for two mass-less Dirac particles with…”
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On the description of subsystems in relativistic hypersurface Bohmian mechanics by Dürr, Detlef, Lienert, Matthias

“…Proc. R. Soc. A 470:20140181 (2014) A candidate for a realistic relativistic quantum theory is the hypersurface Bohm-Dirac model. Its formulation uses a…”
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