Recursive Relations for the S‐matrix of Liouville Theory
Fortschritte der Physik, EarlyView.Abstract The relation between the vertex operators of the in and out fields in Liouville theory is analyzed. This is used to derive equations for the S‐matrix, from which a recursive relation for the normal symbol of the S‐matrix for discrete center‐of‐mass momenta is obtained.
George Jorjadze +2 more
wiley +1 more source
Relational Bundle Geometric Formulation of Non‐Relativistic Quantum Mechanics
Fortschritte der Physik, EarlyView.Abstract A bundle geometric formulation of non‐relativistic many‐particles Quantum Mechanics is presented. A wave function is seen to be a C$\mathbb {C}$‐valued cocyclic tensorial 0‐form on configuration space‐time seen as a principal bundle, while the Schrödinger equation flows from its covariant derivative, with the action functional supplying a ...
J. T. François, L. Ravera
wiley +1 more source
Geometric and arithmetic characterization of [Formula: see text]-module flatness with applications to tensor products. [PDF]
PLoS OneTang JG, Lei HR, Liu M, Peng JY.
europepmc +1 more source
(1) A New Geometry (2) Algebra Part II, for the Use of Students preparing for the Intermediate and Previous Examinations of Indian Universities (3) Parametric Coefficients in the Differential Geometry of Curves [PDF]
, 1911 openalex +1 more source
Optical solutions to the time fractional Akbota equation arising in nonlinear optics via two distinct methods. [PDF]
Sci RepMahmood SS +3 more
europepmc +1 more source
M. Karoubi and C. Leruste, Algebraic topology via differential geometry (London Mathematical Society Lecture Note Series 99, Cambridge University Press1987) 363 pp. 0 521 31714 2, £15.(Originally published in French as Méthodes de géométrie différentielle en topologie algébrique, Paris 1982.) [PDF]
, 1989 J. W. Bruce
openalex +1 more source
Advanced Quantum Technologies, EarlyView.The hybrid approach to Quantum Supervised Machine Learning is compatible with Noisy Intermediate Scale Quantum (NISQ) devices but hardly useful. Pure quantum kernels requiring fault‐tolerant quantum computers are more promising. Examples are kernels computed by means of the Quantum Fourier Transform (QFT) and kernels defined via the calculation of ...
Massimiliano Incudini +2 more
wiley +1 more source
GrowCAD: bioinspired mathematical design for additive manufacturing. [PDF]
R Soc Open SciMahmoodi N +3 more
europepmc +1 more source
Multi‐Objective Robust Controller Synthesis With Integral Quadratic Constraints in Discrete‐Time
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This article presents a novel framework for the robust controller synthesis problem in discrete‐time systems using dynamic Integral Quadratic Constraints (IQCs). We present an algorithm to minimize closed‐loop performance measures such as the ℋ∞$$ {\mathscr{H}}_{\infty } $$‐norm, the energy‐to‐peak gain, the peak‐to‐peak gain, or a ...
Lukas Schwenkel +4 more
wiley +1 more source
Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]
Mach Learn Sci TechnolPapillon M +10 more
europepmc +1 more source