480 pages, 10x7 inches
Fall 2002 Hardcover
ISBN 1-58949-010-X
Description:
This book is based on lecture notes developed
in last twenty two
years during which the authors have been
teaching a core graduate
course, Quantum Mechanics II, at Fudan University.
It covers a
very broad range of topics, presenting the
state of the art in
Quantum Mechanics. Discussions on some topics
such as Levinson
theorem, Casimir effect, the essence of special
relativity, the
interpretation of wave function, geometric
phase, fractional
statistics, and paradoxes in quantum mechanics,
reflect to some
extent the authors' own research results.
The book is profound,
practical, enlightening, and pleasantly readable.
It is not only
a very good textbook for students majoring
in theoretical,
experimental, or applied physics, but also
a very useful
reference for researchers as well.
Readership: graduate students, teachers,
researchers in (both
theoretical and experimental) quantum physics.
Contents:
PREFACE.
CH.1. Basic Concepts and Methods in Quantum
Mechanics.
CH.2. Theory of Quantum Scattering.
CH.3. Symmetries and Angular Momentum in
Quantum Mechanics.
CH.4. Quantization of Electromagnetic Field
and its Interaction
with Charged Particles.
CH.5. Density Matrix and Quantum Statistics.
CH.6. Phase in Quantum Mechanics.
CH.7. Motion of Electron in Magnetic Fields.
CH.8. Methods in Quantum Many Body Problems
and Applications.
CH.9. Relativistic Quantum Mechanics.
CH.10. Experiments and Interpretation of
Quantum Mechanics.
App. Convention units
About Authors:
Guang-jiong Ni is a Chair Professor of Physics
in Fudan
University, Shanghai. He has been teaching
in Fudan for over 45
years and served as the director of Modern
Physics Institute and
the head of the Division for Theoretical
Physics for many years.
His research areas include quantum mechanics,
field theory, and
particle physics. He is the author for over
170 papers published
in well known journals. Prof. Ni is a popular
writer of science
in China. His books Modern Physics (1979),
Methods of
Mathematical Physics (1989), Levinson Theorem,
Anomaly and Phase
Transition of Vacuum (1995), Physics Changing
the World (1998),
and Advanced Quantum Mechanics (2000) receive
very warm welcome
from very broad range of readers. He has
received numerous
rewards for his research, teaching activities
and book writing.
Su-qing Chen is a Professor of Physics in
Fudan University,
Shanghai. Before joining the Fudan faculty,
she worked as a
researcher in Shanghai Institute for Nuclei,
mainly in the areas
of nuclear theory, until 1978. In Fudan,
Prof. Chen taught the
courses Quantum Mechanics and Group Theory
for many years. Her
research work has been in theoretical physics,
with more than 20
publications. She is the co-author for two
books "Levinson
Theorem , Anomaly and Phase Transition of
Vacuum " and
"Advanced Quantum Mechanics". The
former had been
awarded the Science and Technology Progress
Prize by Education
Ministry of China in 1999.
Su-qing married Guang-jiong in 1960, and
they have been living a
very happy life together since then.
300 pages, 10x7 inches
Winter 2002 Hardcover
ISBN 1-58949-008-8
Outline
This book is intended as a pedagogical introduction
to the
subject of the classical and quantum dynamics
of gauge fields. It
should be accessible to senior undergraduate
and beginning
graduate students in physics. It assumes
that the reader has some
background in elementary quantum mechanics
and it develops the
idea of gauge symmetry from an elementary
point of view. The
geometrical interpretation of gauge fields
is discussed. The
formulation of Yang-Mills theory as both
a classical and a
quantum dynamical system are discussed. Topics
of perturbation
theory, asymptotic freedom, quark confinement
and large N
expansions are covered.
Preface
Gauge symmetry is at the heart of modern
particle physics. It
also makes some interesting appearances in
condensed matter
physics, particularly in the modeling of
strongly correlated
electrons. In teaching courses in physics
both at the
undergraduate and graduate level, I have
come to the realization
that it would be a great advantage to the
student to master the
concepts of gauge invariance and gauge fields
earlier than at the
graduate level, which is now standard. For
this reason, I have
set out to put together this book. It is
intended to be a basic
introduction to the ideas and some of the
structure of gauge
field theories. I have attempted, as much
as possible, to make it
accessible to the physics student who has
a basic familiarity
with the standard undergraduate physics curriculum,
elementary
differential equations, classical mechanics,
electricity and
magnetism, quantum mechanics and the special
theory of relativity.
This is typical of senior undergraduate physics
majors in North
American universities. At least the first
chapter should be
easily readable to such a student. The later
chapters which deal
with gauge theories as quantum field theories
are unavoidably
more involved - no matter how you look at
it, quantum field
theory is a technical subject. Nevertheless,
at each opportunity,
I have attempted to keep the arguments as
simple as possible with
the hope that they are understandable to
the novice reader.
320 pages 10x7 inches w/ CDROM
Fall 2002 Hardcover
ISBN 1-58949-023-1
Preface
Most appealing - and sometimes even stirring
- is a well-constructed
case showing that, without doubt, some given
assertion holds.
Typically, such a case is based on logical
and flawless
reasoning, on a sequence of steps that follow
inevitably from the
hypotheses used to deduce each. In other
words, a proof is given
establishing that the assertion under consideration
indeed holds.
Such proofs are clearly crucial to logic
and to mathematics. Not
so obvious, but true, proofs are crucial
to circuit design,
program writing, and, more generally, to
various activities in
which reasoning plays a vital role. Indeed,
most desirable is the
case in which no doubt exists regarding the
absence of flaws in
the design of a chip, in the structure of
a computer program, in
the argument on which an important decision
is based. Such
careful reasoning is even the key factor
in games that include
chess and poker.
This book features one example after another
of flawless logical
reasoning the context is that of finding
proofs absent from the
literature. The means for finding the missing
proofs is reliance
on a single computer program, William McCune's
automated
reasoning program OTTER.
One motivating force for writing this book
is to interest others
in automated reasoning, logic and mathematics.
As the text
strongly indicates, we delight in using OTTER
equally in two
quite distinct activities: finding a proof
where none is offered
by the literature, and finding a proof far
more appealing than
any the literature provides. We believe that
many other
individuals, if introduced to this program,
will also derive
substantial enjoyment. Further, we believe
that the challenge
offered by the type of problem featured in
this book can be as
engrossing as solving puzzles and playing
various games that
appeal to the mind. Indeed, sometimes, inexpressible
is the
excitement engendered when seeking a proof
with fewer steps than
was found by one of the great minds of the
twentieth century.
Some proofs are simply beautiful to behold.
A second motivating force resets with our
obvious enjoyment of
the type of research featured in this book.
Like the fancier of
fine wines, we continually seek new open
questions to attack,
whether (at one end of the spectrum) they
concern the settling of
a conjecture or (at the other end) the focus
is on proof
betterment. We encourage readers to send
us additional open
questions and challenging problems.
Another factor that motivated us was our
wish to collect in a
single volume a surprisingly large number
of proofs, most of
which were previously absent from the literature.
In some cases,
no proof was offered of any type; in some
cases, the proof that
was offered was far from axiomatic. And even
where an axiomatic
proofs only, some in the text and many more
on the included CD-ROM.
None of the proofs rely on induction, or
on meta argument, or on
higher-order logic. In one sense, the book
can serve as an
encyclopedia of proofs -- many new and many
improved - a work
that sometimes extends, sometimes replaces,
and sometimes
supplements the research of more than a century.
These proofs
offer the implicit challenge of finding others
that are further
improvements.
In a a rather different sense, the book may
serve as the key to
eventually answering one open question after
another, whether the
context is logic, mathematics, design, synthesis,
or some other
area relying on sound reasoning. In that
regards, we include in
details numerous diverse methodologies are
themselves intriguing.
For an example, one methodology asks for
two independent paths
that lead to success and, rather than emphasizing
what is common
to both (their intersection), instead heavily
focuses on what is
not shared (their symmetric difference).
A quite different and
counterintuitive example (in effect) has
the program avoid the
attack successfully taken by one of the masters.
Although the emphasis here is on their use
in the context of
logic and mathematics, we conjecture that
the methodologies we
offer will prove most useful in a far wider
context. We also
suspect that, especially for those who enjoy
solving puzzles and
unraveling the mysteries of sciences, the
nature of the
methodologies will provide substantial stimulation.
If we succeed, this volume will introduce
some readers to the
excitement of discovering new results, increase
the intrigue of
those already familiar with such excitement,
and (for the expert)
add to the arsenal of weapons for attacking
deep questions and
hard problems.
ISBN: 1-85312-624-1
Published: 2002
Pages: TBA
This book provides an introduction to regression
analysis for
third-year undergraduate and graduate students
in science,
engineering, the social sciences and medicine.
Emphasis is placed
on the classical linear model using least
squares estimation and
inference, while topics of current interest,
such as regression
diagnostics, and ridge and logistic regression
are also treated.
In contrast to other texts at this level,
the theoretical
foundation of the subject is presented in
some detail based on
extensive use of matrix algebra.
ISBN: 1-85312-933-X
Published: 2002
Pages: 304pp + CD Rom
In this book the author describes his own
technique of
constructing Green’s functions and matrices
for the
elastostatic Lame’s equations and provides
examples of
applications in applied mathematical physics.
Designed for graduate and postgraduate students
investigating
such areas as elasticity, thermoelasticity,
mechanics, heat
conduction, electro- and magneto conduction,
electronics, radio-physics,
hydrodynamics, and conduction of moisture,
the text will also be
of interest to engineers and researchers
working in these fields.
Many problems and solutions are included
while an accompanying CD-ROM
features examples and applications of Green’s
functions for
Poisson’s equation, and 2D and 3D Green’s
matrices for Lame’s
equations.