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The exact equation of spin motion in a cylindrical coordinate system with allowance for electric dipole moments of particles has been derived. This equation is convenient for analytical calculations of spin dynamics in circular storage…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander J. Silenko

In electromagnetic simulations of magnets and machines one is often interested in a highly accurate and local evaluation of the magnetic field uniformity. Based on local post-processing of the solution, a defect correction scheme is…

Numerical Analysis · Mathematics 2017-02-09 Ulrich Römer , Sebastian Schöps , Herbert De Gersem

Magnetic field errors pose a limitation in the performance of synchrotrons, as they excite non-systematic resonances, reduce dynamic aperture and may result in beam loss. Their effect can be compensated assuming knowledge of their location…

Accelerator Physics · Physics 2023-06-14 Conrad Caliari , Adrian Oeftiger , Oliver Boine-Frankenheim

As a generalisation of the periodic orbit structure often seen in reflection or mirror symmetric MHD equilibria, we consider equilibria with other orientation-reversing symmetries. An example of such a symmetry, which is a not a reflection,…

Dynamical Systems · Mathematics 2024-12-06 David Perrella

It has previously been shown that varying the numerical timestep during a symplectic orbital integration leads to a random walk in energy and angular momentum, destroying the phase space-conserving property of symplectic integrators. Here…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 Nathan A. Kaib , Thomas Quinn , Ramon Brasser

We propose a method to simultaneously correct linear optics errors and linear coupling for storage rings using turn-by-turn (TbT) beam position monitor (BPM) data. The independent component analysis (ICA) method is used to isolate the…

Accelerator Physics · Physics 2016-06-22 Xi Yang , Xiaobiao Huang

Training sequences are designed to probe wireless channels in order to obtain channel state information for block-fading channels. Optimal training sounds the channel using orthogonal beamforming vectors to find an estimate that optimizes…

Information Theory · Computer Science 2014-04-04 Andrew J. Duly , Taejoon Kim , David J. Love , James V. Krogmeier

In the framework of a multiorbital Hubbard model description of superconductivity, a matrix formulation of the superconducting pairing interaction that has been widely used is designed to treat spin, charge and orbital fluctuations within a…

Longitudinal polarization is an important design aspect of the future 100 km-scale Circular Electron Position Collider (CEPC). Spin rotators are needed in CEPC collider rings to make the beam polarization along the longitudinal direction at…

Accelerator Physics · Physics 2022-06-29 Wenhao Xia , Zhe Duan , Jie Gao , Yiwei Wang

We show that electron interaction with the crystal lattice imposes stringent symmetry constrains on the orbital moment propagation. We present examples that elucidate the underlying mechanisms and reveal an additional effect of ultrafast…

Materials Science · Physics 2023-11-20 S. Urazhdin

We consider Hamiltonian functions of classical type, namely even and convex with respect to the generalized momenta. A brake orbit is a periodic solution of Hamilton's equations such that the generalized momenta are zero on two different…

Dynamical Systems · Mathematics 2021-11-12 Dario Corona , Fabio Giannoni

Harmonic inversion has already been proven to be a powerful tool for the analysis of quantum spectra and the periodic orbit orbit quantization of chaotic systems. The harmonic inversion technique circumvents the convergence problems of the…

Chaotic Dynamics · Physics 2009-10-31 K. Weibert , J. Main , G. Wunner

In this work we propose a new numerical approach to distinguish between regular and chaotic orbits in Hamiltonian systems, based on the simultaneous integration of both the orbit and the deviation vectors using a symplectic scheme, hereby…

Chaotic Dynamics · Physics 2015-03-17 Anne-Sophie Libert , Charles Hubaux , Timoteo Carletti

In this paper, we consider the rigid spacecraft with an internal rotor as a regular point reducible regular controlled Hamiltonian (RCH) system. In the cases of coincident and non-coincident centers of buoyancy and gravity, we give…

Dynamical Systems · Mathematics 2014-01-03 Hong Wang

The influence of large permanent dipoles on molecular orbital tomography via high-order harmonic generation (HHG) is investigated in this work. It is found that, owing to the modification of the angle-dependent ionization rate resulting…

Atomic Physics · Physics 2013-02-27 Xiaosong Zhu , Meiyan Qin , Qingbin Zhang , Yang Li , Zhizhan Xu , Peixiang Lu

Beam-beam simulations predict that PEP-II luminosity can be increased by operating the horizontal betatron tune near and above a half-integer resonance. However, effects of the resonance and its synchrotron sidebands significantly enhance…

Accelerator Physics · Physics 2008-11-26 Y. Cai , Y. Nosochkov

We have developed a semi-analytical theory for low-altitude lunar orbits with the aim of verifying what the minimum order of the gravitational model to be considered should be in order to produce realistic results that can be applied to the…

Earth and Planetary Astrophysics · Physics 2020-07-28 Juan Félix San-Juan , Rosario López , Iván Pérez

The coupling of spin-orbit materials to high energy barrier ($\sim$40-60 $k_BT$) nano-magnets has attracted growing interest for exciting new physics and various spintronic applications. We predict that a coupling between the spin-momentum…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Shehrin Sayed , Kerem Y. Camsari , Rafatul Faria , Supriyo Datta

We prove that every closed "general" trajectory of the control system $\Sigma_M$ has an open neighborhood on which $\Sigma_M$ is controllable if 1) this orbit contains some point where the Lie algebra rank condition ($LARC$) is satisfied,…

Dynamical Systems · Mathematics 2010-03-08 Valeri Marenitch

We have calculated the perturbative corrections to all the structure functions in the semileptonic decays of a heavy quark. Assuming an arbitrary gluon mass as a technical tool allowed to obtain in parallel all the BLM corrections. We…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nikolai Uraltsev