Skip to content

Mathematical Physics papers — page 235

math-phBrowse archive

Proof of the equivalence of the symplectic forms derived from the canonical and the covariant phase space formalisms
We prove that, for any theory defined over a space-time with boundary, the symplectic form derived in the covariant phase space is equivalent to the one derived from the canonical formalism.
Juan Margalef-Bentabol, Eduardo J. S. VillaseñorApr 13, 2022
Learn
Two particles interacting via a contact interaction on S2
We consider two particles interacting via a contact interaction that are constrained to a sphere, or S2. We determine their spectrum to arbitrary precision and for arbitrary angular momentum. We…
Dominic Schuh, Thomas LuuApr 13, 2022
Learn
Homological invariants of Pauli stabilizer codes
We study translationally invariant Pauli stabilizer codes with qudits of arbitrary, not necessarily uniform, dimensions. Using homological methods, we define a series of invariants called charge…
Blazej Ruba, Bowen YangApr 12, 2022
Learn
Generalized quadratic commutator algebras of PBW-type
In recent years, various nonlinear algebraic structures have been obtained in the context of quantum systems as symmetry algebras, Painlev\'e transcendent models and missing label problems. In this…
Ian Marquette, Luke Yates, Peter JarvisApr 12, 2022
Learn
The least singular value of the general deformed Ginibre ensemble
We study the least singular value of the n× n matrix H-z with H=A0+H0, where H0 is drawn from the complex Ginibre ensemble of matrices with iid Gaussian entries, and A0 is some…
Mariya Shcherbina, Tatyana ShcherbinaApr 12, 2022
Learn
Comment on "Doubly periodic solutions of the focusing nonlinear Schrödinger equation: Recurrence, period doubling, and amplification outside the conventional modulation-instability band"
In their interesting article (Physical Review A, Vol. 101, 023843 (2020)) Conforti et al. present doubly periodic (elliptic) solutions of the nonlinear Schrödinger equation, based on an earlier…
Hans Werner Schuermann, Valery SerovApr 12, 2022
Learn
Root systems & Clifford algebras: from symmetries of viruses to E8 & ADE correspondences
In this paper we discuss reflection groups and root systems, in particular non-crystallographic ones, and a Clifford algebra framework for both these concepts. A review of historical as well as more…
Pierre-Philippe DechantApr 12, 2022
Learn
An irregular spectral curve for the generation of bipartite maps in topological recursion
We derive an efficient way to obtain generating functions of bipartite maps of arbitrary genus and boundary length using a spectral curve as initial data for the framework of topological recursion.…
Johannes Branahl, Alexander HockApr 11, 2022
Learn
A Non-Local Quasi-Linear Ground State Representation and Criticality Theory
We study energy functionals associated with non-local quasi-linear Schrödinger operators, and develop a ground state representation. Our main focus is on infinite graphs but we also consider…
Florian FischerApr 11, 2022
Learn
Exponential and logarithm of multivector in low dimensional (n=p+q<3) Clifford algebras
Closed form expressions for a multivector exponential and logarithm are presented in real Clifford geometric algebras Cl(p,q)when n=p+q=1 (complex and hyperbolic numbers) and n=2 (Hamilton, split and…
Adolfas Dargys, Arturas AcusApr 11, 2022
Learn
Gap probability for the hard edge Pearcey process
The hard edge Pearcey process is universal in random matrix theory and many other stochastic models. This paper deals with the gap probability for the thinned/unthinned hard edge Pearcey process over…
Dan Dai, Shuai-Xia Xu, Lun ZhangApr 10, 2022
Learn
Perturbative renormalization of ϕ44 theory on the half space R+ ×R3 with flow equations
In this paper, we give a rigorous proof of the renormalizability of the massive ϕ44 theory on a half-space, using the renormalization group flow equations. We find that five counter-terms are…
Majdouline Borji, Christoph KopperApr 8, 2022
Learn
A classification of G-charge Thouless pumps in 1D invertible states
Recently, a theory has been proposed that classifies cyclic processes of symmetry protected topological (SPT) quantum states. For the case of spin chains, i.e.\ one-dimensional bosonic SPT's, this…
Sven Bachmann, Wojciech De Roeck, Martin Fraas et al.Apr 7, 2022
Learn
A review of exact results for fluctuation formulas in random matrix theory
Covariances and variances of linear statistics of a point process can be written as integrals over the truncated two-point correlation function. When the point process consists of the eigenvalues of…
Peter J. ForresterApr 7, 2022
Learn
Framed En-Algebras from Quantum Field Theory
This paper addresses the following question: given a topological quantum field theory on Rn built from an action functional, when is it possible to globalize the theory so that it makes…
Chris Elliott, Owen GwilliamApr 7, 2022
Learn
Bispectrality of AG2 Calogero-Moser-Sutherland system
We consider the generalised Calogero-Moser-Sutherland quantum integrable system associated to the configuration of vectors AG2, which is a union of the root systems A2 and G2. We establish…
Misha Feigin, Martin VrabecApr 7, 2022
Learn
A Two Species Thomas-Fermi Model for Stellar Ground States
We present an energy functional for a Thomas-Fermi type two-fluid model of a self-gravitating non-rotating charged body, with a non-relativistic kinetic energy. We prove that, under certain…
Parker HundApr 7, 2022
Learn
Fast inverse elastic scattering of multiple particles in three dimensions
Many applications require recovering the geometry information of multiple elastic particles based on the scattering information. In this paper, we consider the inverse time-harmonic elastic…
Jun Lai, Jinrui ZhangApr 7, 2022
Learn
Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics
We present a class of periodic solutions of the non-chiral intermediate Heisenberg ferromagnet (ncIHF) equation, which was recently introduced by the authors together with Langmann as a classical,…
Bjorn K. Berntson, Rob KlabbersApr 5, 2022
Learn
A note on adiabatic time evolution and quasi-static processes in translation-invariant quantum systems
We study the slowly varying, non-autonomous quantum dynamics of a translation invariant spin or fermion system on the lattice Zd. This system is assumed to be initially in thermal…
Vojkan Jakšić, Claude-Alain Pillet, Clément TauberApr 5, 2022
Learn
A note on quadratic Poisson brackets on gl(n,R) related to Toda lattices
It is well known that the compatible linear and quadratic Poisson brackets of the full symmetric and of the standard open Toda lattices are restrictions of linear and quadratic r-matrix Poisson…
Laszlo Feher, Bence JuhaszApr 5, 2022
Learn
Mock-integrability and stable solitary vortices
Localized soliton-like solutions to a (2+1)-dimensional hydro-dynamical evolution equation are studied numerically. The equation is so-called Williams-Yamagata-Flierl equation, which governs…
Yukito Koike, Atsushi Nakamula, Akihiro Nishie et al.Apr 5, 2022
Learn
Wick rotation of linearized gravity in Gaussian time and Calder\'on projectors
Motivated by the quantization of linearized gravity, we consider gauge-fixed linearized Einstein equations and their Wick rotation near a Cauchy surface. We show that Calder\'on projectors for the…
Christian Gérard, Simone Murro, Michał WrochnaApr 3, 2022
Learn
Quantum quasi-Lie systems: properties and applications
A Lie system is a non-autonomous system of ordinary differential equations describing the integral curves of a t-dependent vector field taking values in a finite-dimensional Lie algebra of vector…
J. F. Cariñena, J. de Lucas, C. SardónApr 2, 2022
Learn
Positivity of the Invariant Kernel Underlying Quantum Theory of the Coulomb Field
We present a proof of positivity of an invariant kernel, which is of basic importance for the Staruszkiewicz theory of the quantum Coulomb field. Presented proof of positivity is independent of the…
Jaroslaw WawrzyckiApr 2, 2022
Learn
← PreviousPage 235Next →