Open access peer-reviewed Edited Volume

Recent Studies in

Perturbation Theory

Edited by Dimo Uzunov

Bulgarian Academy of Sciences, Bulgaria

The book contains seven chapters written by noted experts and young researchers who present their recent studies of both pure mathematical problems of perturbation theories and application of perturbation methods to the study of the important topic in physics, for example, renormalization group theory and applications to basic models in theoretical physics (Y. Takashi), the quantum gravity and its detection and measurement (F. Bulnes), atom-photon interactions (E. G. Thrapsaniotis), treatment of spectra and radiation characteristics by relativistic perturbation theory (A. V. Glushkov et al), and Green's function theory and some applications (Jing Huang). The pure mathematical issues are related to the problem of generalization of the boundary layer function method for bisingularly perturbed differential equations (K. Alymkulov and D. A. Torsunov) and to the development of new homotopy asymptotic methods and some of their applications (Baojian Hong).

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Perturbation TheoryEdited by Dimo Uzunov

Published: June 14th 2017

DOI: 10.5772/65624

ISBN: 978-953-51-3262-2

Print ISBN: 978-953-51-3261-5

Copyright year: 2017

Books open for chapter submissions

3697 Total Chapter Downloads

3 Crossref Citations

5 Dimensions Citations

chaptersDownloads

Open access peer-reviewed

1. Perturbed Differential Equations with Singular Points

By Keldibay Alymkulov and Dilmurat Adbillajanovich Tursunov

563

Open access peer-reviewed

2. Homotopy Asymptotic Method and Its Application

By Baojian Hong

627

Open access peer-reviewed

3. Green Function

By Jing Huang

590

Open access peer-reviewed

4. Renormalization Group Theory of Effective Field Theory Models in Low Dimensions

By Takashi Yanagisawa

551

Open access peer-reviewed

5. Relativistic Perturbation Theory Formalism to Computing Spectra and Radiation Characteristics: Application to Heavy Elements

By Alexander V. Glushkov, Olga Yu. Khetselius, Andrey A. Svinarenko, Vasily V. Buyadzhi, Valentin B. Ternovsky, Anna A. Kuznetsova and Petr G. Bashkarev

474

Open access peer-reviewed

6. Atoms-Photonic Field Interaction: Influence Functional and Perturbation Theory

By Emmanouil G. Thrapsaniotis

419

Open access peer-reviewed

7. Detection and Measurement of Quantum Gravity by a Curvature Energy Sensor: H-States of Curvature Energy

By Francisco Bulnes

473

Edited Volume and chapters are indexed in

  • Worldcat
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  • Google Scholar
  • AZ ebsco
  • Base
  • CNKI
  • IET Inspec

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