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Generalization is a central concept in machine learning theory, yet for quantum models, it is predominantly analyzed through uniform bounds that depend on a model's overall capacity rather than the specific function learned. These…

The appearance of nuclear clusters in stellar matter at densities below nuclear saturation is an important feature in the modeling of the equation of state for astrophysical applications. There are different theoretical concepts to describe…

Nuclear Theory · Physics 2016-12-22 Helena Pais , Stefan Typel

A conceptual summary is given of a deterministic unified field and particle theory (the metron model) developed in more mathematical detail in a four-part paper published in Physics Essays (1996/97). The model is developed from Einsteins…

High Energy Physics - Theory · Physics 2007-05-23 Klaus Hasselmann

The use of dynamical symmetries or spectrum generating algebras for the solution of the nuclear many-body problem is reviewed. General notions of symmetry and dynamical symmetry in quantum mechanics are introduced and illustrated with…

Nuclear Theory · Physics 2011-05-23 P. Van Isacker

While the main features of atomic nuclei are well described by nuclear mean-field models, there is a large and growing body of evidence which indicates an important additional role played by spatially-correlated nucleon-nucleon structures.…

Nuclear Theory · Physics 2022-10-13 Ranjeet Dalal , I. J. Douglas MacGregor

Relativistic Mean Field Theory in the rotating frame is used to describe superdeformed nuclei. Nuclear currents and the resulting spatial components of the vector meson fields are fully taken into account. Identical bands in neighboring…

Nuclear Theory · Physics 2009-10-22 J. K"onig , P. Ring

The nucleus-nucleus potential and energy dissipation in fusion reactions are obtained from microscopic mean-field dynamics. The deduced potentials nicely reproduce the one extracted from experimental data. Energy dissipation shows a…

Nuclear Theory · Physics 2015-05-14 Kouhei Washiyama , Denis Lacroix , Sakir Ayik

The past two decades have witnessed tremendous progress in the microscopic description of atomic nuclei. The Topical Review `The Future of Nuclear Structure' aims at summarizing the current state-of-the-art microscopic calculations in…

Nuclear Theory · Physics 2021-01-21 Luigi Coraggio , Saori Pastore , Carlo Barbieri

Herein, the theory of Bergman kernel is developed to the weighted case. A general form of weighted Bergman reproducing kernel is obtained, by which we can calculate concrete Bergman kernel functions for specific weights and domains.

Complex Variables · Mathematics 2020-09-08 Guan-Tie Deng , Yun Huang , Tao Qian

The complicated processes in the medium (decays, reactions and $n\bar{n}$ conversion) involving final state absorption are considered. The calculations in the framework of field and phenomenological approaches are compared. The reasons for…

Nuclear Theory · Physics 2009-11-11 V. I. Nazaruk

Ab initio computations of atomic nuclei, based on Hamiltonians from effective field theories of quantum chromodynamics, are now routinely used to predict and describe properties of medium heavy nuclei, and even the heavy nucleus $^{208}$Pb…

Nuclear Theory · Physics 2024-10-02 T. Papenbrock

Photodetection plays a key role in basic science and technology, with exquisite performance having been achieved down to the single photon level. Further improvements in photodetectors would open new possibilities across a broad range of…

Quantum Physics · Physics 2019-01-30 Steve M. Young , Mohan Sarovar , François Léonard

An approach to construction of a quantum group gauge theory based on the quantum group generalisation of fibre bundles is reviewed.

q-alg · Mathematics 2008-02-03 Tomasz Brzezinski

Particle physics has evolved a coherent model that characterizes forces and particles at the most elementary level. This Standard Model, built from many theoretical and experimental studies, is in excellent accord with almost all current…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mary K. Gaillard , Paul D. Grannis , Frank J. Sciulli

We present a modelling framework for the dynamics of cells structured by the concentration of a micromolecule they contain. We derive general equations for the evolution of the cell population and of the extra-cellular concentration of the…

Cell Behavior · Quantitative Biology 2024-10-30 Michael Grinfeld , Nigel Mottram , Jozsef Farkas

Gauge field theories may quite generally be defined as describing the coupling of a matter-field to an interaction-field, and they are suitably represented in the mathematical framework of fiber bundles. Their underlying principle is the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Holger Lyre

We briefly outline the present state of the $n\bar{n}$ transition problem and compare two alternative models.

Nuclear Theory · Physics 2010-04-06 V. I. Nazaruk

In recent years, a large class of nuclear $C^\ast$-algebras have been classified, modulo an assumption on the Universal Coefficient Theorem (UCT). We think this assumption is redundant and propose a strategy for proving it. Indeed,…

Operator Algebras · Mathematics 2021-11-17 Nathanial P. Brown , Sarah L. Browne , Rufus Willett , Jianchao Wu

A modular quantum architecture is given for the space-time, particles, and fields of the Standard Model and General Relativity. It assumes a right-handed neutrino, so that based on their multiplet structure all fundamental fermions have…

Quantum Physics · Physics 2014-03-18 David Ritz Finkelstein

We analyzed the results for finite nuclei and infinite nuclear and neutron matter using the standard $\sigma-\omega$ model and with the effective field theory. For the first time, we have shown here quantitatively that the inclusion of…

Nuclear Theory · Physics 2007-05-23 P. Arumugam , B. K. Sharma , P. K. Sahu , S. K. Patra