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We develop a formalism for treating coherent wave-packet dynamics of charge and spin carriers in degenerate and nearly degenerate bands. We consider the two-band case carefully in view of spintronics applications, where transitions between…

Other Condensed Matter · Physics 2009-11-10 Dimitrie Culcer , Yugui Yao , Qian Niu

In this work the elastic scattering of two nucleons is calculated in chiral effective field theory at next-to-leading order taking into account the coupled N$\Delta$-, $\Delta$N- and $\Delta\Delta$-channels. To solve the coupled channel…

Nuclear Theory · Physics 2020-08-28 Susanne Strohmeier , Norbert Kaiser

We generalise the Kosower-Maybee-O'Connell (KMOC) formalism relating classical observables and scattering amplitudes to curved backgrounds. We show how to compute the final semiclassical state for a particle moving in a curved background in…

High Energy Physics - Theory · Physics 2022-09-14 Tim Adamo , Andrea Cristofoli , Anton Ilderton

Within the framework of the effective field theory approach to the post-Newtonian approximation to General Relativity, we report the so far missing G^3 and G^4 sectors of the conservative two body dynamics at fourth perturbative order for…

General Relativity and Quantum Cosmology · Physics 2019-08-06 Stefano Foffa , Riccardo Sturani

We consider a new approach to the nucleon-nucleon scattering problem in the framework of the higher-derivative formulation of baryon chiral perturbation theory. Starting with a Lorentz-invariant form of the effective Lagrangian we work out…

Nuclear Theory · Physics 2008-11-26 D. Djukanovic , J. Gegelia , S. Scherer , M. R. Schindler

We use a previously developed scattering-amplitudes-based framework for determining two-body Hamiltonians for generic binary systems with arbitrary spin $S$. By construction this formalism bypasses difficulties with unphysical singularities…

High Energy Physics - Theory · Physics 2023-05-31 Zvi Bern , Dimitrios Kosmopoulos , Andrés Luna , Radu Roiban , Fei Teng

We prove six theorems concerning exponentially accurate semiclassical quantum mechanics. Two of these theorems are known results, but have new proofs. Under appropriate hypotheses, they conclude that the exact and approximate dynamics of an…

Mathematical Physics · Physics 2009-10-31 George A. Hagedorn , Alain Joye

Fixed energy inverse scattering theory has been used to define central and spin-orbit Schr\"odinger potentials for the scattering of 5 eV polarized electrons from Xe atoms. The results are typical for a range of such data; including…

Atomic Physics · Physics 2009-11-06 A. Lovell , K. Amos

We employ one-loop scattering amplitudes in Einstein-Maxwell theory to compute the classical Hamiltonian of a binary system of two charged, non-spinning compact objects. The Hamiltonian is valid to all orders in velocity and up to second…

High Energy Physics - Theory · Physics 2026-03-18 Allan Alonzo-Artiles , Manfred Kraus

We study the entanglement entropy between the two outgoing particles in an elastic scattering process. It is formulated within an S-matrix formalism using the partial wave expansion of two-body states, which plays a significant role in our…

High Energy Physics - Theory · Physics 2016-07-08 Robi Peschanski , Shigenori Seki

We discuss an approach to compute two-particle scattering amplitudes for spinless particles colliding at Planckian centre-of-mass energies, with increasing momentum transfer away from the eikonal limit. For electrically neutral particles,…

High Energy Physics - Theory · Physics 2015-06-26 Saurya Das , Parthasarathi Majumdar

We establish the evolution equations of the set of independent variables characterizing the 2PN rigorous conservative dynamics of a spinning compact binary, with the inclusion of the leading order spin-orbit, spin-spin and mass quadrupole -…

General Relativity and Quantum Cosmology · Physics 2010-12-09 László Árpád Gergely

We derive the conservative secular evolution of precessing compact binaries to second post-Newtonian order accuracy, with leading-order spin-orbit, spin-spin and mass quadrupole-monopole contributions included. The emerging closed system of…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Márton Tápai , Zoltán Keresztes , László Árpád Gergely

We derive Keplerian-type parametrization for the solution of post-Newtonian (PN) accurate conservative dynamics of spinning compact binaries moving in eccentric orbits. The PN accurate dynamics that we consider consists of the third…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Christian Koenigsdoerffer , Achamveedu Gopakumar

The problem of describing low-energy two-body scattering for systems with two open channels with different thresholds is addressed in the context of an effective field theory. In particular, the problem where the threshold is unnaturally…

Nuclear Theory · Physics 2009-11-10 Thomas D. Cohen , Boris A. Gelman , U. van Kolck

We investigate the motion of uncharged particles scattered by a binary system consisting of extremely charged black holes in equilibrium as described by the Majumdar-Papapetrou solution. We focus on unbound orbits confined to the plane…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Donato Bini , Andrea Geralico , Gabriele Gionti , Wolfango Plastino , Nelson Velandia

In two recent papers (Phys. Rev. Lett. {\bf 116} (2016) 033201; Phys. Rev. A {\bf 94} (2016) 032331), the possibility of continuously varying the degree of entanglement between an elastically scattered electron and the valence electron of…

Atomic Physics · Physics 2017-04-26 K. Bartschat , S. Fonseca dos Santos

We perform a Feynman diagram calculation of the two-loop scattering amplitude for gravitationally interacting massive particles in the classical limit. Conveniently, we are able to sidestep the most taxing diagrams by exploiting the…

High Energy Physics - Theory · Physics 2020-07-15 Clifford Cheung , Mikhail P. Solon

We analyse the conservative evolution of spinning compact binaries to second post-Newtonian (2PN) order accuracy, with leading order spin-orbit, spin-spin and mass quadrupole-monopole contributions included. As a main result we derive a…

General Relativity and Quantum Cosmology · Physics 2015-05-04 László Árpád Gergely , Zoltán Keresztes

Gravitational wave observatories targeted for compact binary coalescence, such as LIGO and VIRGO, require various theoretical inputs for their efficient detection. One of such inputs are analytical description of binary dynamics at…

High Energy Physics - Theory · Physics 2020-07-27 Jung-Wook Kim