edited by Takeyuki Hida & Kimiaki Saito(Meijo University, Japan)
QUANTUM INFORMATION IV
Proceedings of the Fourth International Conference Meijo University, Japan
27 February - 1 March 2001
Contents:
Some Thoughts on the Infinite Dimensional Harmonic Analysis (T Hida & Y-H Mimachi)
A Quarter Century of White Noise Theory (H-H Kuo)
The Clark Formula of Generalized Wiener Functionals (Y-J Lee & H-H Shih)
A Treatment of Quantum Baker's Map by Chaos Degree (K Inoue et al.)
Inverse S-Transform, Wick Product and Overcompleteness of Exponential Vectors (N Obata)
A Hausdorff–Young Inequality for White Noise Analysis (H-H Kuo et al.)
Integral Transform and Segalargmann Representation Associated to q-Charlier Polynomials (N Asai)
Topics on Complex Gaussian Random Fields (S Si & W W Htay)
Quantum Information in Space and Time and Theory of Stochastic Processes (I V Volovich)
Notions of Independence in Algebraic Probability Theory and Set Partition Statistics (Y Hashimoto)
Poisson Noise Analysis Based on the Levy Laplacian (A Ishikawa et al.)
Study on the Power of Potential Fluctuation in Living Cells (M Yamanoi)
Some Properties of Measure-Valued Processes with Singular Branching Rate (I Doku)
and other papers
Readership: Pure and applied probabilists, functional analysts, mathematical physicists, theoretical physicists and mathematical biologists.
250pp (approx.) Pub. date: Scheduled Summer 2002
ISBN 981-238-020-5
by Mohsen Razavy (University of Alberta, Canada)
QUANTUM THEORY OF TUNNELING
This book provides a comprehensive introduction to the theoretical foundations of quantum tunneling, stressing the basic physics underlying the applications. The topics addressed include exponential and nonexponential decay processes and the application of scattering theory to tunneling problems. In addition to the Schrödinger equation approach, the path integral, Heisenberg's equations and the phase space method are all used to study the motion of a particle under the barrier. Extensions to the multidimensional cases and tunneling of particles with internal degrees of freedom are also considered. Furthermore, recent advances concerning time delay and tunneling times and some of the problems associated with their measurement are also discussed. Finally, some examples of tunneling in atomic, molecular, nuclear and condensed matter physics are presented.
Contents:
A Brief History of Quantum Tunneling
Some Basic Questions Concerning Quantum Tunneling
Semi-Classical Approximations and the Bohr–Sommerfeld Method
Gamow's Theory, Complex Eigenvalues and the Time-Dependence of the Wave Function
Simple Solvable Problems and Tunneling in Symmetric and Asymmetric Wells
Classical Description of Tunneling
Time-Dependent and Nonlocal Potential Barriers
Decay Width and the Scattering Theory
Variable Reflection Amplitude and Multichannel Tunneling
Path Integral Method in Quantum Tunneling
Heisenberg's Equations of Motion and the Wigner Distribution Function
Complex Scaling and Dilatation Transformation for Calculation of the Decay Width
Multidimensional Quantum Tunneling
Time-Delay, Reflection Time, Dwell, Phase and Minimum Tunneling Time
Tunneling of a System with Internal Degrees of Freedom
Motion of a Particle in a Space Bounded by a Surface of Revolution
Relativistic Formulation of Quantum Tunneling
Inverse Problems of Quantum Tunneling
Examples from Atomic, Molecular, Nuclear and Condensed Matter Physics
Readership: Graduate students and researchers in theoretical, mathematical, condensed matter and nuclear physics, as well as theoretical chemistry.
540pp (approx.)
Pub. date: Scheduled Summer 2002
ISBN 981-238-018-3
ISBN 981-238-019-1(pbk)
Robert Morelos-Zaragoza
The Art of Error Correcting Coding
ISBN: 0-471-49581-6
Cloth
238 Pages
April 08, 2002
The Art of Error Correcting Coding provides a comprehensive coverage of the basic techniques of error concealment. It addresses the need for selecting, implementing and simulating algorithms for the encoding and decoding of codes used for error correction and detection. This practical approach uses simple and easy to follow numerical examples to describe the basic concepts of a particular coding or decoding scheme. Basic analysis tools are provided throughout to help in the assessment of the error performance block and convolutional codes of a particular Error Correcting Coding (ECC) scheme for a selection of the basic channel models.
Provides a complete treatment of important decoding algorithms including errors-and-erasures decoding of BCH and Reed-Solomon codes for any set of consecutive zeros and any length
Describes Viterbi decoding and the key implementation issues
Includes soft-output decoding algorithms, MAP, log-MAP, Max-log-MAP, belief propagation and ordered statistics
Discusses new reliability-based algorithms such as GMD and the Chase algorithm with soft outputs
Examines turbo codes, both serially and parallel concatenated, as well as low-density parity-check (LDPC) codes and their iterative decoders
Features a companion website providing computer programs written in C language, to help understanding and implementing basic ECC techniques
This volume provides an indispensable tool for understanding and applying ECC techniques in transmission and storage of digital information. Engineers, computer scientists and graduate students alike, will all benefit from such a practical introductory approach.
Table of Contents:
Introduction
Hamming, Golay and Reed-Muller codes
Binary cyclic codes and BCH codes
Non-binary BCH codes: Reed-Solomon codes
Binary convolutional codes
Modifying and combining codes
Soft-decision decoding
Iteratively decodable codes
Combining codes and digital modulation: Coded modulation
References
Appendix
Alistair W Kerr : De Montfort University,Bedford, Howard K Hall : De Montfort University, Bedford, Stephen A Kozub : De Montfort University, Bedford
Doing Statistics With SPSS
Pages: 238
Cloth (0-7619-7384-2) March 2002
Paper (0-7619-7385-0) March 2002
Description
Doing Statistics With SPSS is derived from the authors' many years of experience teaching undergraduates data handling using SPSS. It assumes no prior understanding beyond that of basic mathematical operations and is therefore suitable for anyone undertaking an introductory statistics course as part of a science based undergraduate programme. The text will: enable the reader to make informed choices about what statistical tests to employ; what assumptions are made in using a particular test; demonstrate how to execute the analysis using SPSS; and guide the reader in his//her interpretation of its output. Each chapter ends with an exercise and provides detailed instructions on how to run the analysis using SPSS release 10. Learning is further guided by pointing the reader to particular aspects of the SPSS output and by having the reader engage with specified items of information from the SPSS results.
This text is more complete than the alternatives that usually fall into one of two camps. They either provide an explanation of the concepts but no instructions on how to execute the analysis with SPSS, or they are a manual which instructs the reader on how to drive the software but with minimal explanation of what it all means. This book offers the best elements of both in a style that is economical and accessible.
Doing Statistics with SPSS will be essential reading for undergraduates in psychology and health-related disciplines, and likely to be of invaluable use to many other students in the social sciences taking a course in statistics.
Contents
The Need for Statistics * The Need for Statistics * Descriptive Statistics * The Normal Distribution * Introduction to Experimental Research * Sampling Error * Between-Groups One-Way Analysis of Variance * Analytical Comparisons * Within-Groups One-Way ANOVA * Factorial ANOVA * More Advanced Applications in ANOVA * Linear Regression * Multiple Regression * Two Final Exercises