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Several advances have extended the power and versatility of coherent state theory to the extent that it has become a vital tool in the representation theory of Lie groups and their Lie algebras. Representative applications are reviewed and…

数学物理 · 物理学 2012-07-03 D. J. Rowe

The quantum field theories (QFT) constructed in [1,2] include phenomenology of interest. The constructions approximate: scattering by $1/r$ and Yukawa potentials in non-relativistic approximations; and the first contributing order of the…

数学物理 · 物理学 2014-12-23 Glenn Eric Johnson

This work concerns some issues about the interplay of standard and geometric (Hamiltonian) approaches to finite-dimensional quantum mechanics, formulated in the projective space. Our analysis relies upon the notion and the properties of…

数学物理 · 物理学 2015-12-04 Valter Moretti , Davide Pastorello

Here we propose a model of particles and fields based on the mathematical framework of quantum physics. Our model is an interpretation of quantum physics that treats particles and fields as physically real. We analyze four experiments on…

量子物理 · 物理学 2013-05-28 Eduardo V. Flores

Based on a number of experimentally verified physical observations, it is argued that the standard principles of quantum mechanics should be applied to the Universe as a whole. Thus, a paradigm is proposed in which the entire Universe is…

广义相对论与量子宇宙学 · 物理学 2007-05-23 J. S. Eakins

Quantum states are the key mathematical objects in quantum theory. It is therefore surprising that physicists have been unable to agree on what a quantum state truly represents. One possibility is that a pure quantum state corresponds…

量子物理 · 物理学 2015-03-31 Matthew F. Pusey , Jonathan Barrett , Terry Rudolph

Generators and relations are given for the subalgebra of cocommutative elements in the quantized coordinate rings of the classical groups, where the deformation parameter q is transcendental. This is a ring theoretic formulation of the well…

量子代数 · 数学 2007-05-23 M. Domokos , T. H. Lenagan

In the e-print is discussed a few steps to introducing of "vocabulary" of relativistic physics in quantum theory of information and computation (QTI&C). The behavior of a few simple quantum systems those are used as models in QTI&C is…

量子物理 · 物理学 2008-02-03 Alexander Yu. Vlasov

This paper represents one approach to making explicit some of the assumptions and conditions implied in the widespread representation of numbers by composite quantum systems. Any nonempty set and associated operations is a set of natural…

量子物理 · 物理学 2009-11-06 Paul Benioff

This paper proposes an intrinsic or background-independent quantum framework based on entangled state rather than absolute quantum state, it describes a quantum relative state between the under-study quantum system and the quantum measuring…

量子物理 · 物理学 2026-03-13 M. J. Luo

A unified conceptual foundation of classical and quantum physics is given, free of undefined terms. Ensembles are defined by extending the `probability via expectation' approach of Whittle to noncommuting quantities. This approach carries…

量子物理 · 物理学 2007-05-23 Arnold Neumaier

We present a simple physical representation for states of the two-dimensional string theory. In order to incorporate a fundamental cutoff of the order 1/g we use a picture consisting of q-oscillators at the first-quantized level. In this…

高能物理 - 理论 · 物理学 2007-05-23 Antal Jevicki , Andre van Tonder

A new application of quantum field theory is developed that gives a description of the internal dynamics of dressed elementary particles and predicts their masses. The fermionic and bosonic quantum fields are treated as interdependent…

综合物理 · 物理学 2012-08-28 J. M. Greben

It is generally taken for granted that two-dimensional critical phenomena can be fully classified by the well known two-dimensional (rational) conformal quantum field theories (CQFTs). In particular it is believed that in models with a…

高能物理 - 格点 · 物理学 2009-10-30 Adrian Patrascioiu , Erhard Seiler

In our joint papers [FL1-FL2] we revive quaternionic analysis and show deep relations between quaternionic analysis, representation theory and four-dimensional physics. As a guiding principle we use representation theory of various real…

数学物理 · 物理学 2007-12-04 Matvei Libine

We argue that correct account of the quantum properties of macroscopic objects which form reference frames (RF) demand the change of the standard space-time picture accepted in Quantum Mechanics. Galilean or Lorentz space-time…

高能物理 - 理论 · 物理学 2007-05-23 S. N. Mayburov

Despite its name, Quantum Field Theory (QFT) has been built to describe interactions between localizable particles. For this reason the actual formalism of QFT is partly based on a suitable generalization of the one already used for systems…

综合物理 · 物理学 2009-07-02 Eliano Pessa

In a recent result, Frauchiger and Renner argue that if quantum theory accurately describes complex systems like observers who perform measurements, then "we are forced to give up the view that there is one single reality." Following a…

量子物理 · 物理学 2018-04-11 Jeffrey Bub

In quantum physics (QP) education, the use of representations such as diagrams and visual aids that connect to mathematical concepts is crucial. Research in representation theory indicates that combining symbolic-mathematical elements (e.g.…

物理教育 · 物理学 2025-08-04 Linda Qerimi , Sarah Malone , Eva Rexigel , Sascha Mehlhase , Jochen Kuhn , Stefan Küchemann

We present a theory of "quantum references", similar to lenses in classical functional programming, that allow to point to a subsystem of a larger quantum system, and to mutate/measure that part. Mutable classical variables, quantum…

计算机科学中的逻辑 · 计算机科学 2024-07-08 Dominique Unruh