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

WORLD SCIENTIFIC eBooks

Wavelets in Physics

Li‐Zhi Fang, Robert L. Thews

Published Dec 1, 1998• 102 citations
Publisher

Abstract

Peter Carruthers' notes on wavelet analysis in physics introduction of wavelets wavelet applications in theoretical physics applications in particle physics applications in astrophysics applications in statistical mechanics. (Part contents).
DOI
10.1142/3783

Related papers

Physlet quantum physics : an interactive introduction to quantum theory

Mario Belloni, Wolfgang Christian, Anne J. Cox

Preface (with Browser Tests and System Requirements) Chapter 1: Introduction to Physlets Part 1: Special Relativity Chapter 2: Space and Time in Special Relativity Chapter 3: Relativistic Mechanics Part 2: The Need for a Quantum Theory Chapter 4: From Blackbody to Bohr Chapter 5: Wave-Particle Duality Part 3: Quantum Theory Chapter 6: Classical and Quantum-mechanical Probability Chapter 7: The Schrodinger Equation Chapter 8: The Free Particle Chapter 9: Scattering in One Dimension Chapter 10: The Infinite Square Well Chapter 11: Finite Square Wells and Other Piecewise-constant Wells Chapter 12: Harmonic Oscillators and Other Spatially-varying Wells Chapter 13: Multi-dimensional Wells Part 4: Applications Chapter 14: Atomic, Molecular, and Nuclear Physics Chapter 15: Statistical Mechanics

•Jan 1, 2006•4 citations

Path Integral Methods and Applications

R. MacKenzie

These lectures are intended as an introduction to the technique of path integrals and their applications in physics. The audience is mainly first-year graduate students, and it is assumed that the reader has a good foundation in quantum mechanics. No prior exposure to path integrals is assumed, however. The path integral is a formulation of quantum mechanics equivalent to the standard formulations, offering a new way of looking at the subject which is, arguably, more intuitive than the usual approaches. Applications of path integrals are as vast as those of quantum mechanics itself, including the quantum mechanics of a single particle, statistical mechanics, condensed matter physics and quantum field theory. After an introduction including a very brief historical overview of the subject, we derive a path integral expression for the propagator in quantum mechanics, including the free particle and harmonic oscillator as examples. We then discuss a variety of applications, including path integrals in multiply-connected spaces, Euclidean path integrals and statistical mechanics, perturbation theory in quantum mechanics and in quantum field theory, and instantons via path integrals. For the most part, the emphasis is on explicit calculations in the familiar setting of quantum mechanics, with some discussion (often brief and schematic) of how these ideas can be applied to more complicated situations such as field theory.

arXiv:quant-ph/0004090•Lectures given at•Apr 24, 2000•38 citations

Wavelets from coherent states: II

John R. Klauder

The area of applicability of coherent states is generally quantum theory, while that of wavelets is generally signal analysis. Nevertheless, separated from their respective applications, coherent states and (continuous) wavelets have a great deal in common. To illustrate this connection we shall outline three general types of coherent states and a few of their applications. We address our presentation to interested wavelet practitioners.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Mar 22, 1999•3 citations

Proceedings of the second international workshop on contemporary problems in mathematical physics, Cotonou, Republic of Benin, 28 October - 2 November 2001

Jan Govaerts A, Mahouton Norbert Hounkonnou, ALFRED Z. MSEZANE

Contents: Quantization Techniques: A Quick Overview (S T Ali) The Quantum Geometer's Universe: Particles, Interactions and Topology (J Govaerts) Theoretical Methods of Modern Classical and Quantum Physics: Do Cross-Sections Determine Phase Shifts Uniquely? (D Atkinson) Hilbert Transform or Kramers-Kronig Relations Applied to Some Aspects of Linear and Nonlinear Physics (G Debiais) Application of the Gibbs Sampler to the Conditional Simulation of Rain Fields (H Onibon et al.) The Mathematics of an Algebraic Approach to the Physics of Hadrons (M D Slaughter) Coherent States, Wavelets and Geometric Methods in Theoretical Physics: Phase Space Geometry in Classical and Quantum Mechanics (J R Klauder) Functional Analysis Special Functions and Orthogonal Polynomials: On Generalized Continuous D Semi-Classical Hermite and Chebychev Orthogonal Polynomials of Class One (E Azatassou & M N Hounkonnou) On a Generalization of the Method by Barbaroux et al. for the Improvement on the Rate of Decay of an Operator Resolvent (G Honnouvo & M N Hounkonnou) and other papers.

WORLD SCIENTIFIC eBooks•Jan 1, 2002•0 citations

Some Applications of Wavelets to Physics

Charles Thompson

•Jan 1, 1992•2 citations

Wavelets In Physics

WORLD SCIENTIFIC eBooks•Jan 1, 1998•4 citations
Preface (with Browser Tests and System Requirements) Chapter 1: Introduction to Physlets Part 1: Special Relativity Chapter 2: Space and Time in Special Relativity Chapter 3: Relativistic Mechanics Part 2: The Need for a Quantum Theory Chapter 4: From Blackbody to Bohr Chapter 5: Wave-Particle Duality Part 3: Quantum Theory Chapter 6: Classical and Quantum-mechanical Probability Chapter 7: The Schrodinger Equation Chapter 8: The Free Particle Chapter 9: Scattering in One Dimension Chapter 10: The Infinite Square Well Chapter 11: Finite Square Wells and Other Piecewise-constant Wells Chapter 12: Harmonic Oscillators and Other Spatially-varying Wells Chapter 13: Multi-dimensional Wells Part 4: Applications Chapter 14: Atomic, Molecular, and Nuclear Physics Chapter 15: Statistical Mechanics
These lectures are intended as an introduction to the technique of path integrals and their applications in physics. The audience is mainly first-year graduate students, and it is assumed that the reader has a good foundation in quantum mechanics. No prior exposure to path integrals is assumed, however. The path integral is a formulation of quantum mechanics equivalent to the standard formulations, offering a new way of looking at the subject which is, arguably, more intuitive than the usual approaches. Applications of path integrals are as vast as those of quantum mechanics itself, including the quantum mechanics of a single particle, statistical mechanics, condensed matter physics and quantum field theory. After an introduction including a very brief historical overview of the subject, we derive a path integral expression for the propagator in quantum mechanics, including the free particle and harmonic oscillator as examples. We then discuss a variety of applications, including path integrals in multiply-connected spaces, Euclidean path integrals and statistical mechanics, perturbation theory in quantum mechanics and in quantum field theory, and instantons via path integrals. For the most part, the emphasis is on explicit calculations in the familiar setting of quantum mechanics, with some discussion (often brief and schematic) of how these ideas can be applied to more complicated situations such as field theory.
Contents: Quantization Techniques: A Quick Overview (S T Ali) The Quantum Geometer's Universe: Particles, Interactions and Topology (J Govaerts) Theoretical Methods of Modern Classical and Quantum Physics: Do Cross-Sections Determine Phase Shifts Uniquely? (D Atkinson) Hilbert Transform or Kramers-Kronig Relations Applied to Some Aspects of Linear and Nonlinear Physics (G Debiais) Application of the Gibbs Sampler to the Conditional Simulation of Rain Fields (H Onibon et al.) The Mathematics of an Algebraic Approach to the Physics of Hadrons (M D Slaughter) Coherent States, Wavelets and Geometric Methods in Theoretical Physics: Phase Space Geometry in Classical and Quantum Mechanics (J R Klauder) Functional Analysis Special Functions and Orthogonal Polynomials: On Generalized Continuous D Semi-Classical Hermite and Chebychev Orthogonal Polynomials of Class One (E Azatassou & M N Hounkonnou) On a Generalization of the Method by Barbaroux et al. for the Improvement on the Rate of Decay of an Operator Resolvent (G Honnouvo & M N Hounkonnou) and other papers.