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We consider a model of quantum field theory with higher derivatives for a spinor field with quartic selfinteraction. With the help of the Bethe-Salpeter equation we study the problem of the two particle bound states in the "chain"…

High Energy Physics - Theory · Physics 2008-11-26 A. D. Mitov , M. N. Stoilov , D. Ts. Stoyanov

We unveil the existence of two-particle bound state in the continuum (BIC) in a one-dimensional interacting nonreciprocal lattice with a generalized boundary condition. By applying the Bethe-ansatz method, we can exactly solve the…

Quantum Gases · Physics 2025-04-08 Yanxia Liu , Shu Chen

We consider particle-antiparticle bound states in the scalar Yukawa (Wick-Cutkosky) model. The variational method in the Hamiltonian formalism of quantum field theory is employed. A reformulation of the model is studied, in which covariant…

Nuclear Theory · Physics 2008-11-26 Bingfeng Ding , Jurij Darewych

The Poincar\'e-covariant quantum-field-theoretic description of bound states by the homogeneous Bethe-Salpeter equation usually exhibits an intrinsic complexity that can be attenuated by allowing this formalism to undergo various…

Quantum Physics · Physics 2022-11-28 Wolfgang Lucha

Interactions in atomic and molecular systems are dominated by electromagnetic forces and the theoretical framework must be in the quantum regime. The physical theory for the combination of quantum mechanics and electromagnetism, quantum…

Chemical Physics · Physics 2023-01-26 Edit Mátyus , Dávid Ferenc , Péter Jeszenszki , Ádám Margócsy

Abstract interior-boundary conditions (IBC's) allow for the direct description of the domain and the action of Hamiltonians for a certain class of ultraviolet-divergent models in Quantum Field Theory. The method was recently applied to…

Mathematical Physics · Physics 2020-01-08 Julian Schmidt

By using the method of coordinate Bethe ansatz, we study N-body bound states of a generalized nonlinear Schrodinger model having two real coupling constants c and \eta. It is found that such bound states exist for all possible values of c…

High Energy Physics - Theory · Physics 2009-11-11 B. Basu-Mallick , Tanaya Bhattacharyya , Diptiman Sen

If only limited control over a multiparticle quantum system is available, a viable method to characterize correlations is to perform random measurements and consider the moments of the resulting probability distribution. We present…

Quantum Physics · Physics 2021-04-23 Satoya Imai , Nikolai Wyderka , Andreas Ketterer , Otfried Gühne

Relativistic quantum field theory offers, in form of the homogeneous Bethe-Salpeter framework, a (Poincar\'e-covariant) description of bound states in terms of their underlying theory's fundamental degrees of freedom. In view of the…

High Energy Physics - Phenomenology · Physics 2019-08-26 Wolfgang Lucha

Bound state formation is a classic feature of quantum mechanics, where a particle localizes in the vicinity of an attractive potential. This is typically understood as the particle lowering its potential energy. In this article, we discuss…

Quantum Physics · Physics 2023-08-16 Eric He , R. Ganesh

The quantum nature of the state of a bosonic quantum field manifests itself in its entanglement, coherence, or optical nonclassicality which are each known to be resources for quantum computing or metrology. We provide quantitative and…

Quantum Physics · Physics 2020-09-25 Anaelle Hertz , Nicolas J. Cerf , Stephan De Bièvre

We use the worldline representation of field theory together with a variational approximation to determine the lowest bound state in the scalar Wick-Cutkosky model where two equal-mass constituents interact via the exchange of mesons.…

High Energy Physics - Phenomenology · Physics 2009-11-11 K. Barro-Bergflödt , R. Rosenfelder , M. Stingl

The quark potential model and resonating group method are used to investigate the $\bar{K}N$ bound states and/or resonances. The model potential consists of the t-channel and s-channel one-gluon exchange potentials and the confining…

High Energy Physics - Phenomenology · Physics 2009-11-11 Hai-Jhun Wanng , Jun-Chen Su

We calculated bound states in the quantum field theoretical approach. Using the Wick-Cutkosky model and an extended version of this model (in which a particle with finite mass is exchanged) we have calculated the bound states in the scalar…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. van Iersel , B. L. G. Bakker , F. Pijlman

The Salpeter equation, a standard tool in hadron physics, constitutes a well-defined three-dimensional approximation to the Bethe-Salpeter formalism for the description of bound states within quantum field theories. However, if confinement…

High Energy Physics - Phenomenology · Physics 2011-06-15 Wolfgang Lucha

In this paper, we propose a regularized Newton method for computing ground states of Bose-Einstein condensates (BECs), which can be formulated as an energy minimization problem with a spherical constraint. The energy functional and…

Numerical Analysis · Mathematics 2017-11-21 Xinming Wu , Zaiwen Wen , Weizhu Bao

Electromagnetic and Lorentz-scalar form factors are calculated for a bound system of two spin-less particles exchanging a zero-mass scalar particle. Different approaches are considered including solutions of a Bethe-Salpeter equation, a…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Desplanques , L. Theussl

The most popular 3-dimensional reduction of the Bethe-Salpeter formalism for the description of bound states within quantum field theory is the Salpeter equation, found as the instantaneous limit of the Bethe-Salpeter framework if allowing,…

High Energy Physics - Phenomenology · Physics 2009-06-25 Wolfgang Lucha

The bound-state problem for an uncharged massive scalar particle in the field of a naked Reissner-Nordstr\"om singularity is approached by means of the quasiclassical Bohr-Sommerfeld quantization. An approximate analytical expression for…

General Relativity and Quantum Cosmology · Physics 2011-10-17 Valentin D. Gladush , Dmitry A. Kulikov

Bound states are dissipation-resilient states that may emerge when quantum systems are strongly coupled to reservoirs with band gaps. We analyze an exactly solvable bosonic model for bound state existence and reproduce these results by a…

Quantum Physics · Physics 2026-04-08 Guan-Yu Lai , Friedemann Queißer , Gernot Schaller