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These notes give a brief introduction to the category of spectra as defined in stable homotopy theory. In particular, Section 5 discusses an extensive list of examples of spectra whose properties have been found to be interesting.

Algebraic Topology · Mathematics 2020-01-29 Neil Strickland

An inconsistency of quantum field theory, regarding the signs of vacuum energy and vacuum pressure of elementary fields versus non-elementary fields (like e.g. phonon fields), is pointed out. An improved law for the canonical quantization…

General Physics · Physics 2016-12-08 Gerold Gründler

A Short Course on Frame Theory.

Information Theory · Computer Science 2011-04-22 Veniamin I. Morgenshtern , Helmut Bölcskei

Canonical quantization has taught us great things. A common example is that of the harmonic oscillator, which is like swinging a ball on a string back and forth. However, the half-harmonic oscillator blocks the ball at the bottom and then…

Quantum Physics · Physics 2022-12-27 John R. Klauder

This paper is a concise introduction to virtual knot theory, coupled with a list of research problems in this field.

Geometric Topology · Mathematics 2014-09-10 Roger Fenn , Denis P. Ilyutko , Louis H. Kauffman , Vassily O. Manturov

We give a presentation of abelian class field theory.

Algebraic Geometry · Mathematics 2007-05-23 S. Subramanian

This is mainly a brief review of some key achievements in a `hot'' area of theoretical and mathematical physics. The principal aim is to outline the basic structures underlying {\em integrable} quantum field theory models with {\em…

High Energy Physics - Theory · Physics 2008-02-03 Emil Nissimov , Svetlana Pacheva

We study first-order concatenation theory with bounded quantifiers. We give axiomatizations with interesting properties, and we prove some normal-form results. Finally, we prove a number of decidability and undecidability results.

Logic · Mathematics 2020-03-12 Lars Kristiansen , Juvenal Murwanashyaka

These lecture notes are an informal introduction to the theory of computational complexity and its links to quantum computing and statistical mechanics.

Statistical Mechanics · Physics 2009-09-25 Stephan Mertens

This paper provides an introduction to the theory of semiconductor laser diodes, with special focus on their noise properties. It may be considered an additional chapter to the textbook [1]. As such, it will also refer to equations in that…

Optics · Physics 2026-04-13 Bjarne Tromborg , Palle Jeppesen

We describe a method of writing down the exact interacting gauge invariant equations for all the modes of the bosonic open string. It is a generalization of the loop variable approach that was used earlier for the free, and lowest order…

High Energy Physics - Theory · Physics 2007-05-23 B. Sathiapalan

This introduction to Bayesian statistics presents the main concepts as well as the principal reasons advocated in favour of a Bayesian modelling. We cover the various approaches to prior determination as well as the basis asymptotic…

Methodology · Statistics 2010-02-09 Christian P. Robert , Judith Rousseau

This contribution, aimed mostly at experimental particle physicists, reviews some of the main ideas and results of String Theory in a non-technical language. It originates from the talks presented by the authors at the Electro-Weak session…

High Energy Physics - Experiment · Physics 2009-05-22 Augusto Sagnotti , Alexander Sevrin

The present status of superstring phenomenology is briefly discussed.

High Energy Physics - Theory · Physics 2014-05-06 Zurab Kakushadze , S. -H. Henry Tye

Using the reduced formulation of large-N Quantum Field Theories we study strings in space-time dimensions higher than one. Some preliminary results concerning the possible string susceptibilities and general properties of the model are…

High Energy Physics - Theory · Physics 2007-05-23 L. Alvarez-Gaume , J. L. F. Barbon

The solution term by term to the scattering of all consistent string theories is given. The moduli space of M-theory is derived and connects the various string theories. The solutions contain both the perturbative and non-perturbative…

General Physics · Physics 2007-05-23 Gordon Chalmers

This paper is a rudimentary introduction, geared at non-specialists, to how noncommutative field theories arise in physics and their applications to string theory, particle physics and condensed matter systems.

Popular Physics · Physics 2009-11-10 Richard J. Szabo

We provide a concise and accessible introduction to (geometric) string structures, highlighting their connection to loop spaces and outlining relationships with neighboring topics.

Mathematical Physics · Physics 2024-01-01 Konrad Waldorf

The canonical quantization of the topological particle is described; it is shown that BRST quantization of the model gives the supersymmetric quantum mechanical model considered by Witten when investigating Morse theory, and the rigorous…

High Energy Physics - Theory · Physics 2009-10-31 Alice Rogers

Some conceptual aspects of the quantum string field psychophysics are clarified.

General Physics · Physics 2007-05-23 Denis V. Juriev
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