Results 171 to 180 of about 1,925,109 (294)

Recursive Relations for the S‐matrix of Liouville Theory

open access: yesFortschritte 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

open access: yesFortschritte 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

Toward Useful Quantum Kernels

open access: yesAdvanced 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

THE WORK OF THE COMMITTEE ON REAL APPLIED PROBLEMS IN ELEMENTARY ALGEBRA AND GEOMETRY

open access: green, 1909
James F. Millis   +3 more
openalex   +2 more sources

Quantum Iterative Methods for Solving Differential Equations with Application to Computational Fluid Dynamics

open access: yesAdvanced Quantum Technologies, EarlyView.
Quantum algorithms for differential equations are developed with applications in computational fluid dynamics. The methods follow an iterative simulation framework, implementing Jacobi and Gauss–Seidel schemes on quantum registers through linear combinations of unitaries.
Chelsea A. Williams   +4 more
wiley   +1 more source

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