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We discuss the quantization of an unstable field through the construction of a "one-particle Hilbert space." The system considered here is a neutral scalar field evolving over a globally hyperbolic static spacetime and subject to a…

General Relativity and Quantum Cosmology · Physics 2017-01-12 William C. C. Lima

Strongly coupled positronium, considered in its pseudoscalar sector, is studied in the framework of relativistic quantum constraint dynamics. Case's method of self-adjoint extension of singular potentials, which avoids explicit introduction…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. Bawin , J. Cugnon , H. Sazdjian

At present, there are many methods of quantum entanglement of particles with an electromagnetic field. Most methods have a low probability of quantum entanglement and not an exact theoretical apparatus based on an approximate solution of…

Quantum Physics · Physics 2017-09-15 Dmitry Makarov

In this paper, we consider the quantum version of the hamiltonian model describing friction introduced in [BDB]. This model consists of a particle which interacts with a bosonic reservoir representing a homogeneous medium through which the…

Mathematical Physics · Physics 2007-05-23 L. Bruneau

We investigate the dynamics of a charged particle interacting with a multimode quantized electromagnetic field and obtain an analytic solution for the full electron--field system. This framework enables the calculation of position…

In quantum field theory particles are physically defined as what Unruh-DeWitt particle detectors observe. By detecting a particle mode $A$, a reduced density operator for a quantum state of $A$ is constructed. Even if the entire quantum…

General Relativity and Quantum Cosmology · Physics 2019-03-04 Jose Trevison , Koji Yamaguchi , Masahiro Hotta

Optical binding refers to the light-induced interaction between two or more objects illuminated by laser fields. The high tunability of the strength, sign, and reciprocity of this interaction renders it highly attractive for controlling…

Quantum Physics · Physics 2024-12-05 Henning Rudolph , Uroš Delić , Klaus Hornberger , Benjamin A. Stickler

We formulate the second quantization of a charged scalar field in homogeneous, time-dependent electromagnetic fields, in which the Hamiltonian is an infinite system of decoupled, time-dependent oscillators for electric fields, but it is…

High Energy Physics - Theory · Physics 2015-06-19 Sang Pyo Kim

Using the Pauli-Fierz model of non-relativistic quantum electrodynamics, we calculate the binding energy of an electron in the field of a nucleus of charge $Z$ and in presence of the quantized radiation field. We consider the case of small…

Mathematical Physics · Physics 2007-05-23 Christian Hainzl , Robert Seiringer

A model of state reduction in relativistic quantum field theory involving a nonlinear stochastic extension of Schr\"odinger's equation is outlined. The eigenstates of the annihilation operator are chosen as the preferred basis onto which…

Quantum Physics · Physics 2007-06-14 D. J. Bedingham

In this work, based on a recently introduced localization scheme for scalar fields, we argue that the geometry of the space-time, where the particle states of a scalar field are localized, is intimately related to the quantum entanglement…

High Energy Physics - Theory · Physics 2020-12-15 Vasileios I. Kiosses

Dynamical instabilities can amplify small perturbations into measurable signals, offering a route to quantum-enhanced sensing. This mechanism was experimentally demonstrated in a collective-spin system with quadratic interactions, described…

Quantum Physics · Physics 2026-04-08 Bidhi Vijaywargia , Jorge Chávez-Carlos , Francisco Pérez-Bernal , Lea F. Santos

Enhanced quantization offers a different classical/quantum connection than that of canonical quantization in which $\hbar >0$ throughout. This result arises when the only allowed Hilbert space vectors allowed in the quantum action…

Quantum Physics · Physics 2015-06-19 T. C. Adorno , J. R Klauder

A Quantum Field Theory formulation of Bose-Einstein Correlations is given. It contains as a special case the classical current approach. It is shown that the particle-antiparticle correlations are a general feature of Bose-Einstein…

High Energy Physics - Phenomenology · Physics 2009-10-28 Leonid V. Razumov , R. M. Weiner

We study two-particle systems in a model quantum field theory, in which scalar particles and spinor particles interact via a mediating scalar field. The Lagrangian of the model is reformulated by using covariant Green's functions to solve…

Nuclear Theory · Physics 2016-09-08 Volodymyr Shpytko , Jurij Darewych

We consider the dynamics of a charged particle interacting with background electromagnetic field under the influence of linearized gravitational waves in the long wave-length and low-velocity limit. Following the prescription in…

General Relativity and Quantum Cosmology · Physics 2012-11-08 Sunandan Gangopadhyay , Anirban Saha

In quantum field theory, particle creation occurs, in general, when an intense external field, such as an electromagnetic field, breaks time translational invariance. This leads to an ambiguity in the definition of the vacuum state. In…

High Energy Physics - Theory · Physics 2022-06-24 Álvaro Álvarez-Domínguez , Luis J. Garay , David García-Heredia , Mercedes Martín-Benito

We propose a novel method to describe realistically ionization processes with absorbing boundary conditions in basis expansion within the formalism of the so-called Non-Adiabatic Quantum Molecular Dynamics. This theory couples…

Quantum Physics · Physics 2015-06-26 Mathias Uhlmann , Thomas Kunert , Ruediger Schmidt

We study effective models describing systems of quantum particles interacting with quantized (electromagnetic) fields in the quasi-classical regime, i.e., when the field's state shows a large average number of excitations. Once the field's…

Mathematical Physics · Physics 2025-03-19 S. Breteaux , M. Correggi , M. Falconi , J. Faupin

Application of the so-called refined algebraic quantization scheme for constrained systems to the relativistic particle provides an inner product that defines a unique Fock representation for a scalar field in curved space-time. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Helmut Rumpf
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