Volume 1: Basic Matters
Volume 2: Simple Systems
Volume 3: Perturbed Evolution
Note: *The three volumes are not sequential but rather
independent of each other and largely self-contained.
Basic Matters is a first introduction to quantum mechanics that
does not assume any prior knowledge of the subject. The emphasis
is on the general structure as the necessary foundation of any
understanding. Starting from the simplest quantum phenomenon, the
Stern萌erlach experiment with its choice between two discrete
outcomes, and ending with one-dimensional continuous systems, the
physical concepts and notions as well as the mathematical
formalism of quantum mechanics are developed in successive,
manageable steps. The presentation is modern inasmuch as the
natural language of the trade ・Dirac's kets and bras and so on
・is introduced early, and the temporal evolution is dealt with
in a picture-free manner, with Schringer's and Heisenberg's
equations of motion side by side and on equal footing.
The reader of Simple Systems is not expected to be familiar with
the material in Basic Matters, but should have the minimal
knowledge of a standard brief introduction to quantum mechanics
with its typical emphasis on one-dimensional position wave
functions. The step to Dirac's more abstract and much more
powerful formalism is taken immediately, followed by reviews of
quantum kinematics and quantum dynamics. The important standard
examples (force-free motion, constant force, harmonic oscillator,
hydrogen-like atoms) are then treated in considerable detail,
whereby a nonstandard perspective is offered wherever it is
deemed feasible and useful. A final chapter is devoted to
approximation methods, from the Hellmann芳eynman theorem to the
WKB quantization rule.
Perturbed Evolution has a closer link to Simple Systems than that
volume has to Basic Matters, but any reader familiar with the
subject matter of a solid introduction to quantum mechanics ・such
as Dirac's formalism of kets and bras, Schringer's and
Heisenberg's equations of motion, and the standard examples that
can be treated exactly, with harmonic oscillators and hydrogen-like
atoms among them ・can cope with the somewhat advanced material
of this volume. The basics of kinematics and dynamics are
reviewed at the outset, including discussions of Bohr's principle
of complementarity and Schwinger's quantum action principle. The
Born series, the Lippmann亡chwinger equation, and Fermi's golden
rule are recurring themes in the treatment of the central subject
matter ・the evolution in the presence of perturbing
interactions for which there are no exact solutions as one has
them for the standard examples in Simple Systems. The scattering
by a localized potential is regarded as a perturbed evolution of
a particular kind and is dealt with accordingly. The unique
features of the scattering of indistinguishable quantum objects
illustrate the nonclassical properties of bosons and fermions and
prepare the groundwork for a discussion of multi-electron atoms.
Contents:
Basic Matters:
A Brutal Fact of Life
Kinematics: How Quantum Systems are Described
Dynamics: How Quantum Systems Evolve
Motion along the x Axis
Elementary Examples
Simple Systems:
Quantum Kinematics Reviewed
Quantum Dynamics Reviewed
Examples
Orbital Angular Momentum
Hydrogen-like Atoms
Approximation Methods
Perturbed Evolution:
Basics of Kinematics and Dynamics
Time-Dependent Perturbations
Scattering
Angular Momentum
External Magnetic Field
Indistinguishable Particles
Readership: Undergraduates in physics; also in chemistry,
mathematics, and engineering; physics lecturers; Perturbed
Evolution for graduate students in physics as well.
・Offers a modern point of view and a nonstandard approach by a
renownedresearcher and teacher・Ideal for the self-studying
reader, as intermediate steps are not skippedover in the detailed
presentation・Based on battle-tested lecture notes・Includes
more than 80 exercises in each volume
・Offers a modern point of view and a nonstandard approach by a
renownedresearcher and teacher・Ideal for the self-studying
reader, as intermediate steps are not skippedover in the detailed
presentation・Based on battle-tested lecture notes・Includes
more than 80 exercises in each volume
--> Set
656pp
ISBN 981-256-790-9
ISBN 981-256-791-7(pbk)
Vol. 1
232pp Pub. date: May 2006
ISBN 981-256-970-7
ISBN 981-256-971-5(pbk)
Vol. 2
212pp Pub. date: May 2006
ISBN 981-256-972-3
ISBN 981-256-973-1(pbk)
Vol. 3
212pp Pub. date: May 2006
ISBN 981-256-974-X
ISBN 981-256-975-8(pbk)
The first edition of this classic book has become the
authoritative reference for physicists desiring to master the
finer points of statistical data analysis. This second edition
contains all the important material of the first, much of it
unavailable from any other sources. In addition, many chapters
have been updated with considerable new material, especially in
areas concerning the theory and practice of confidence intervals,
including the important Feldman?Cousins method. Both frequentist
and Bayesian methodologies are presented, with a strong emphasis
on techniques useful to physicists and other scientists in the
interpretation of experimental data and comparison with
scientific theories. This is a valuable textbook for advanced
graduate students in the physical sciences as well as a reference
for active researchers.
Contents:
Basic Concepts in Probability
Convergence and the Law of Large Numbers
Probability Distributions
Information
Decision Theory
Theory of Estimators
Point Estimation in Practice
Interval Estimation
Tests of Hypotheses
Goodness-of-Fit Tests
Readership: Advanced students, lecturers and research scientists
in physics, astronomy and related sciences.
300pp (approx.) Pub. date: Scheduled Spring 2007
ISBN 981-256-795-X
This book contains Volume 7 of the Journal of Graph Algorithms
and Applications (JGAA). JGAA is a peer-reviewed scientific
journal devoted to the publication of high-quality research
papers on the analysis, design, implementation, and applications
of graph algorithms. Areas of interest include computational
biology, computational geometry, computer graphics, computer-aided
design, computer and interconnection networks, constraint
systems, databases, graph drawing, graph embedding and layout,
knowledge representation, multimedia, software engineering,
telecommunications networks, user interfaces and visualization,
and VLSI circuit design.
Graph Algorithms and Applications 4 presents contributions from
prominent authors and includes selected papers from (a) the
Seventh International Workshop on Algorithms and Data Structures
(WADS 2001) and (b) the 2001 Symposium on Graph Drawing (GD 2001).
All papers in the book have extensive diagrams and offer a unique
treatment of graph algorithms focusing on the important
applications.
Contents:
Statistical Analysis of Algorithms: A Case Study of Market-Clearing
Mechanisms in the Power Industry (C Barrett et al.)
On External-Memory Planar Depth First Search (L Arge et al.)
Finding Shortest Paths with Computational Geometry (P-S Loh)
Polar Coordinate Drawing of Planar Graphs with Good Angular
Resolution (C Duncan & S Kobourov)
and other papers
Readership: Researchers and practitioners in theoretical computer
science, computer engineering, and combinatorics and graph theory.
436pp Pub. date: May 2006
ISBN 981-256-844-1(pbk)
Series on Number Theory and Its Applications - Vol. 1
Mathematics is very much a part of our culture; and this
invaluable collection serves the purpose of developing the
branches involved, popularizing the existing theories and guiding
our future explorations.
More precisely, the goal is to bring the reader to the frontier
of current developments in arithmetic geometry and number theory
through the works of Deninger?Werner in vector bundles on curves
over p-adic fields; of Jiang on local gamma factors in
automorphic representations; of Weng on Deligne pairings and
Takhtajan?Zograf metrics; of Yoshida on CM-periods; of Yu on
transcendence of special values of zetas over finite fields. In
addition, the lecture notes presented by Weng at the University
of Toronto from October to November 2005 explain basic ideas and
the reasons (not just the language and conclusions) behind
Langlands’ fundamental, yet notably difficult, works on the
Eisenstein series and spectral decompositions.
And finally, a brand new concept by Weng called the Geometric
Arithmetic program that uses algebraic and/or analytic methods,
based on geometric considerations, to develop the promising and
yet to be cultivated land of global arithmetic that includes non-abelian
Class Field Theory, Riemann Hypothesis and non-abelian Zeta and L
Functions, etc.
Contents:
On Local g-Factors (D H Jiang)
Deligne Pairings over Moduli Spaces of Punctured Riemann Surfaces
(K Obitsu et al.)
Vector Bundles on Curves over Cp (A Werner)
Absolute CM-periods ? Complex and p-Adic (H Yoshida)
Special Zeta Values in Positive Characteristic (J Yu)
Automorphic Forms, Eisenstein Series and Spectral Decompositions
(L Weng)
Geometric Arithmetic: A Program (L Weng)
Readership: Researchers and graduate students in automorphic
representations, number theory, arithmetic algebraic geometry,
complex geometry and mathematical physics.
412pp Pub. date: Jun 2006
ISBN 981-256-814-X