Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Lecture notes in physics

Recent Advances in the Quantum Theory of Polymers

Jean Marie André, Jean‐Luc Brédas, J. Delhalle, Janos J. Ladik, Leroy, Georges, Carl M. Moser

Published Jan 1, 1980• 79 citations
Publisher
DOI
10.1007/3-540-09731-7

Related papers

Quantum Theory of Polymers

J. M. André, J. Delhalle, Janos J. Ladik

Springer eBooks•Jan 1, 1978•71 citations

Introduction to Path-integral Methods in Physics and Polymer Science

F.W. Wiegel

This monograph distills material prepared by the author for class lectures, conferences and research seminars. It fills in a much-felt gap between the older and original work by Feynman and Hibbs and the more recent and advanced volume by Schulman.After presenting an elementary account on the Wiener path integral as applied to Brownian motion, the author progresses on to the statistics of polymers and polymer entanglements. The next three chapters provide an introduction to quantum statistical physics with emphasis on the conceptual understanding of many-variable systems. A chapter on the renormalization group provides material for starting on research work. The final chapter contains an over view of the role of path integrals in recent developments in physics. A good bibliography is provided for each chapter.

WORLD SCIENTIFIC eBooks•Sep 1, 1986•225 citations

Towards polymer quantum mechanics for fermionic systems

Angel García-Chung, Hugo Aurelio Morales-Técotl, Juan D. Reyes

AIP conference proceedings•Jan 1, 2013•3 citations

Polymer quantum mechanics and its continuum limit

Alejandro Corichi, Tatjana Vukašinac, José Antonio Zapata

A rather nonstandard quantum representation of the canonical commutation relations of quantum mechanics systems, known as the polymer representation, has gained some attention in recent years, due to its possible relation with Planck scale physics. In particular, this approach has been followed in a symmetric sector of loop quantum gravity known as loop quantum cosmology. Here we explore different aspects of the relation between the ordinary Schr\"odinger theory and the polymer description. The paper has two parts. In the first one, we derive the polymer quantum mechanics starting from the ordinary Schr\"odinger theory and show that the polymer description arises as an appropriate limit. In the second part we consider the continuum limit of this theory, namely, the reverse process in which one starts from the discrete theory and tries to recover back the ordinary Schr\"odinger quantum mechanics. We consider several examples of interest, including the harmonic oscillator, the free particle, and a simple cosmological model.

arXiv:0704.0007•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields•Aug 21, 2007•179 citations

Continuum Quantum Field Theory for a Linearly Conjugated Diatomic Polymer with Fermion Fractionization

R. Jackiw, Gordon Walter Semenoff

The recently proposed model Hamiltonian for a linearly conjugated diatomic polymer is studied in the continuum limit in which there emerges a field-theoretic Dirac Hamiltonian, exhibiting charge fractionization into irrational numbers, just as in the discrete model.

Physical Review Letters•Feb 7, 1983•102 citations

Propagators in polymer quantum mechanics

Ernesto Flores-González, Hugo Aurelio Morales-Técotl, Juan D. Reyes

arXiv:1302.1906•Annals of Physics•Jun 12, 2013•36 citations
This monograph distills material prepared by the author for class lectures, conferences and research seminars. It fills in a much-felt gap between the older and original work by Feynman and Hibbs and the more recent and advanced volume by Schulman.After presenting an elementary account on the Wiener path integral as applied to Brownian motion, the author progresses on to the statistics of polymers and polymer entanglements. The next three chapters provide an introduction to quantum statistical physics with emphasis on the conceptual understanding of many-variable systems. A chapter on the renormalization group provides material for starting on research work. The final chapter contains an over view of the role of path integrals in recent developments in physics. A good bibliography is provided for each chapter.
A rather nonstandard quantum representation of the canonical commutation relations of quantum mechanics systems, known as the polymer representation, has gained some attention in recent years, due to its possible relation with Planck scale physics. In particular, this approach has been followed in a symmetric sector of loop quantum gravity known as loop quantum cosmology. Here we explore different aspects of the relation between the ordinary Schr\"odinger theory and the polymer description. The paper has two parts. In the first one, we derive the polymer quantum mechanics starting from the ordinary Schr\"odinger theory and show that the polymer description arises as an appropriate limit. In the second part we consider the continuum limit of this theory, namely, the reverse process in which one starts from the discrete theory and tries to recover back the ordinary Schr\"odinger quantum mechanics. We consider several examples of interest, including the harmonic oscillator, the free particle, and a simple cosmological model.