math-ph
34.5k resultsTowards First Quantisation Formalism for AKSZ Theories
Leon Menger, Pavel Mnev
The paper develops a one‑dimensional AKSZ model on graphs that serves as a first‑quantisation picture for a given AKSZ field theory, showing how its partition function reproduces t…
Congruence of Dirac operators with applications to generalized MIT bag models
Joaquim Duran, Konstantin Pankrashkin
The paper introduces a simple congruence transformation that shifts coupling parameters for Dirac operators with shell interactions, and uses it to derive new results on the self‑a…
Lee-Yang Zeros And Particle Fluctuations
Mohamed El Hedi Bahri, Ian Jauslin, Joel L. Lebowitz
The paper proves that if Lee–Yang zeros of the grand‑canonical partition function stay away from a positive real fugacity, then in the thermodynamic limit the pressure and its deri…
From Quantum-Plane Hamiltonians to Jackson Dynamics: Dilation Representations, Normal Symbols, and Euclidean Limits
Xiaomei Yang, Zhiliang Deng
The paper establishes a rigorous correspondence between formal q‑Hamiltonian mechanics on the quantum plane and computable dynamics using Jackson finite differences, showing how th…
Notes on a paper by F. Génot and B. Brogliato on the Painlevé paradox
Stefano Pasquero
A Rigorous Proof of Metric Blow-Up for Pseudospherical Metrics Associated with the Degasperis--Procesi Equation
Zhenhua Shi, Mingyue Guo
Mori-Zwanzig formalism: An existence proof for weak solutions of the orthogonal dynamics equation
Christoph Widder
Accurate Computation of Activated Volume in Electromagnetic Heating
Hongyun Wang, Parthiv Seetharaman, Shannon E. Foley +1
The paper proposes a more accurate method for computing the volume enclosed by an isosurface of a 3‑D temperature field on a rectangular grid by combining extrapolation with the st…
The boundary-driven multispecies harmonic process
Francesco Casini, Rouven Frassek, Cristian GiardinÃ
The paper introduces a multispecies harmonic process on a one‑dimensional lattice with boundary reservoirs, linking its Markov generator to an integrable open rational Heisenberg s…
Quantum Turing Patterns
Kazuki Ikeda
The paper develops a rigorous theory of quantum Turing patterns in Lindblad lattice systems, showing how nonlinear instabilities generate stripe, spot, and labyrinth structures and…
Quantum estimates for classical polynomial optimization
Oleg Evnin
The paper proposes a quantum‑mechanical variational approach that maps a multivariate homogeneous polynomial to a large operator, whose eigenvalues provide lower and upper bounds f…
Milnor metric for Morse--Smale flows from field theory
Giovanni Molinari, Michele Schiavina
A doubled Gordon threshold for palindromic quasiperiodic Schrödinger operators
Wencai Liu
Local Weyl law and length-minimising loops on hyperbolic surfaces
Daniel Meriaz
A turning point principle for liquid Lane-Emden stars
King Ming Lam
A phase transition for the hard sphere model on the hyperbolic plane
Lewis Bowen, Marcus Michelen, Will Perkins
Localization of quantum systems at Liouville tori
Ood Shabtai
Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions
Hao Liang
$\mathcal{P}(Φ)_2$ Theory from many-body quantum Gibbs states
Phan Thà nh Nam, Zhilin Yang, Xiangchan Zhu
Explicit higher order rational rogue waves of the nonlinear Schrödinger equation
Robert Conte, ENS Paris-Saclay, The University of Hong Kong
Classification of Six-dimensional Real Nilpotent Lie Bialgebras of Symplectic Type and their Poisson-Lie Groups
A. Poursistani, Gh. Haghighatdoost, J. Abedi-Fardad
Essential self-adjointness of semi-bounded operators
M. Griesemer, V. KuÃmaul
Lifts of partial cohomological field theories and examples of bi-Hamiltonian structures in the non-semisimple case
Guido Carlet, Dimitrios Makris, Sergey Shadrin
Self-adjoint extensions of $k$-photon light-matter Hamiltonians
Felix Fischer, Felix Knapp, Daniel Burgarth +1