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The Wolfram language is the programming language of Mathematica,
used increasingly by scientists due to its ease of learning and
user-friendliness. This book focuses on applications of the Wolfram
language to applied mathematics, physics and chemistry. Topics
discussed are broad and comprehensive, from differential equations
and special functions to fractals and chess, from electromagnetism
and optics to relativity and black holes. There is also extensive
coverage of quantum theory and quantum chemistry, and the book is
peppered with more than 200 color graphics to aid visualization of
these concepts. The program codes are provided online as
Mathematica notebooks, allowing readers to modify them and
manipulate the graphics in real time. This book should be a
valuable resource for researchers, educators and students in
science and computing who can profit from a more interactive form
of instruction.
This book is designed to make accessible to nonspecialists the
still evolving concepts of quantum mechanics and the terminology in
which these are expressed. The opening chapters summarize
elementary concepts of twentieth century quantum mechanics and
describe the mathematical methods employed in the field, with clear
explanation of, for example, Hilbert space, complex variables,
complex vector spaces and Dirac notation, and the Heisenberg
uncertainty principle. After detailed discussion of the
Schroedinger equation, subsequent chapters focus on isotropic
vectors, used to construct spinors, and on conceptual problems
associated with measurement, superposition, and decoherence in
quantum systems. Here, due attention is paid to Bell's inequality
and the possible existence of hidden variables. Finally,
progression toward quantum computation is examined in detail: if
quantum computers can be made practicable, enormous enhancements in
computing power, artificial intelligence, and secure communication
will result. This book will be of interest to a wide readership
seeking to understand modern quantum mechanics and its potential
applications.
This book is designed to make accessible to nonspecialists the
still evolving concepts of quantum mechanics and the terminology in
which these are expressed. The opening chapters summarize
elementary concepts of twentieth century quantum mechanics and
describe the mathematical methods employed in the field, with clear
explanation of, for example, Hilbert space, complex variables,
complex vector spaces and Dirac notation, and the Heisenberg
uncertainty principle. After detailed discussion of the
Schroedinger equation, subsequent chapters focus on isotropic
vectors, used to construct spinors, and on conceptual problems
associated with measurement, superposition, and decoherence in
quantum systems. Here, due attention is paid to Bell's inequality
and the possible existence of hidden variables. Finally,
progression toward quantum computation is examined in detail: if
quantum computers can be made practicable, enormous enhancements in
computing power, artificial intelligence, and secure communication
will result. This book will be of interest to a wide readership
seeking to understand modern quantum mechanics and its potential
applications.
Mathematics for Physical Chemistry, Fifth Edition includes
exercises that enable readers to test their understanding and put
theory into practice. Chapters are constructed around a sequence of
mathematical topics, progressing gradually into more advanced
material, before discussing key mathematical skills, including the
analysis of experimental data and-new to this edition-complex
variables. Includes additional new content on Mathematica and its
advanced applications. Drawing on the experience of its expert
authors, this book is the ideal supplementary text for practicing
chemists and students wanting to sharpen their mathematics skills
and understanding of key mathematical concepts for applications
across physical chemistry.
Introduction to Quantum Mechanics, 2nd Edition provides an
accessible, fully updated introduction to the principles of quantum
mechanics. It outlines the fundamental concepts of quantum theory,
discusses how these arose from classic experiments in chemistry and
physics, and presents the quantum-mechanical foundations of current
scientific developments. Beginning with a solid introduction to the
key principles underpinning quantum mechanics in Part 1, the book
goes on to expand upon these in Part 2, where fundamental concepts
such as molecular structure and chemical bonding are discussed.
Finally, Part 3 discusses applications of this quantum theory
across some newly developing applications, including chapters on
Density Functional Theory, Statistical Thermodynamics and Quantum
Computing. Drawing on the extensive experience of its expert
author, Introduction to Quantum Mechanics, 2nd Edition is a lucid
introduction to the principles of quantum mechanics for anyone new
to the field, and a useful refresher on fundamental knowledge and
latest developments for those varying degrees of background.
Mathematical Physics in Theoretical Chemistry deals with important
topics in theoretical and computational chemistry. Topics covered
include density functional theory, computational methods in
biological chemistry, and Hartree-Fock methods. As the second
volume in the Developments in Physical & Theoretical Chemistry
series, this volume further highlights the major advances and
developments in research, also serving as a basis for advanced
study. With a multidisciplinary and encompassing structure guided
by a highly experienced editor, the series is designed to enable
researchers in both academia and industry stay abreast of
developments in physical and theoretical chemistry.
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