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We consider a Klein-Gordon-Wave system, describing the evolution of a massive field and a massless one interacting through a Yukawa-like coupling, and we explicitly derive its Hamiltonian normal form to first and second order. To the…

数学物理 · 物理学 2026-01-08 Gaia Marangon , Antonio Ponno , Lorenzo Zanelli

We generalize the time-honored Weinberg's compositeness relations by including the range corrections through considering a general form factor. In Weinberg's derivation, he considered the effective range expansion up to $\mathcal{O}(p^2)$…

高能物理 - 唯象学 · 物理学 2022-04-26 Yan Li , Feng-Kun Guo , Jin-Yi Pang , Jia-Jun Wu

We predict the enhancement of the spin-rotation coupling due to the interband mixing. The Bloch wavefunctions in the presence of mechanical rotation are constructed with the generalized crystal momentum which includes a gauge potential…

介观与纳米尺度物理 · 物理学 2015-06-12 Mamoru Matsuo , Jun'ichi Ieda , Sadamichi Maekawa

The evolution of the centre-of-mass wave-function for a mesoscopic particle according to the Schr\"odinger-Newton equation can be approximated by a harmonic potential, if the wave-function is narrow compared to the size of the particle. It…

广义相对论与量子宇宙学 · 物理学 2016-08-02 André Großardt

We present the result of the quadratic-in-spin interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to NNNLO corrections within the post-Newtonian expansion. The calculation is performed by employing…

高能物理 - 理论 · 物理学 2023-08-02 Manoj K. Mandal , Pierpaolo Mastrolia , Raj Patil , Jan Steinhoff

We describe a Fourier transform spectroscopy technique for directly measuring band structures, and apply it to a spin-1 spin-orbit coupled Bose-Einstein condensate. In our technique, we suddenly change the Hamiltonian of the system by…

量子气体 · 物理学 2023-07-20 A. Valdés-Curiel , D. Trypogeorgos , E. E. Marshall , I. B. Spielman

We consider the scattering of two-bosons with negative parity and spin 0 or 1. Starting from helicity partial-wave scattering amplitudes we derive transformations that eliminate all kinematical constraints. Such amplitudes are expected to…

高能物理 - 唯象学 · 物理学 2015-06-03 M. F. M. Lutz , I. Vidana

Within the post Newtonian framework the fully reduced Hamiltonian (i.e., with eliminated spin supplementary condition) for the next-to-leading order spin-squared dynamics of general compact binaries is presented. The Hamiltonian is…

广义相对论与量子宇宙学 · 物理学 2010-06-04 Steven Hergt , Jan Steinhoff , Gerhard Schaefer

The semi-exponential basis set of radial functions (A.M. Frolov, Physics Letters A {\bf 374}, 2361 (2010)) is used for variational computations of bound states in three-electron atomic systems. It appears that semi-exponential basis set has…

高能物理 - 唯象学 · 物理学 2011-03-21 Alexei M Frolov

We investigate the validity of quantum regression for a family of quantum Hamiltonians on a multipartite system leading to phase-damping reduced dynamics. After finding necessary and sufficient conditions for the CP-divisibility of the…

量子物理 · 物理学 2022-05-17 Davide Lonigro , Dariusz Chruściński

We show under general assumptions that the mean-field approximation for quan- tum many-boson systems is correct. Our contribution unifies and improves on most of the known results. The proof uses general properties of quantization in…

数学物理 · 物理学 2017-01-11 Quentin Liard

A generalized Bogoliubov model of the Bose gas in the ground state is proposed which properly takes into account both the long-range and short-range spatial boson correlations. It concerns equilibrium characteristics and operates with…

统计力学 · 物理学 2007-05-23 A. Yu. Cherny , A. A. Shanenko

We consider a quantum system linearly coupled to a reservoir of harmonic oscillators. For finite coupling strengths, the stationary distribution of the damped system is not of the Gibbs form, in contrast to standard thermodynamics. With the…

统计力学 · 物理学 2013-05-29 Stefanie Hilt , Benedikt Thomas , Eric Lutz

Refined are the known descriptions of particle behavior with the help of Hamilton function in the phase space of coordinates and their multiple derivatives. This entails existing of circumstances when at closer distances gravitational…

数学物理 · 物理学 2007-05-23 Timur F. Kamalov

Decomposition of the free rigid body Hamiltonian into a "main problem" and a perturbation term provides an efficient integration scheme that avoids the use of elliptic functions and integrals. In the case of short-axis-mode rotation, it is…

动力系统 · 数学 2018-04-10 Martin Lara

We derive solitary-wave solutions within the mean-field approximation in quasi-one-dimensional binary mixtures of Bose-Einstein condensates under periodic boundary conditions, for the case of an effective repulsive interatomic interaction.…

量子气体 · 物理学 2015-06-05 J. Smyrnakis , M. Magiropoulos , G. M. Kavoulakis , A. D. Jackson

Rotating-wave approximation and its validity in multi-state quantum systems are studied through analytic approach. Their applicability is also verified from the viewpoint of generic states by the use of direct numerical integrations of the…

混沌动力学 · 物理学 2009-04-23 Toshiya Takami , Hiroshi Fujisaki

The synthetic spin-orbit coupled quantum gases is widely studied both experimentally and theoretically in recent years. As previous studies show, this modification of single-body dispersion will in general couple different partial waves and…

量子气体 · 物理学 2018-04-25 Pengfei Zhang , Ning Sun

Radiative corrections to the $h\rightarrow Z\gamma$ are evaluated in the one-loop approximation. The unitary gauge gauge is used. The analytic result is expressed in terms of the Passarino-Veltman functions. The calculations are applicable…

高能物理 - 唯象学 · 物理学 2018-11-06 L. T. Hue , A. B. Arbuzov , T. T. Hong , T. Phong Nguyen , D. T. Si , H. N. Long

We propose a variational approximation to the ground state energy of a one-dimensional gas of interacting bosons on the continuum based on the Bethe Ansatz ground state wavefunction of the Lieb-Liniger model. We apply our variational…

量子气体 · 物理学 2020-01-08 S. De Palo , R. Citro , E. Orignac