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The Physics of Quantum Mechanics aims to give students a good understanding of how quantum mechanics describes the material world. It shows that the theory follows naturally from the use of probability amplitudes to derive probabilities. It stresses that stationary states are unphysical mathematical abstractions that enable us to solve the theory's governing equation, the time-dependent Schroedinger equation. Every opportunity is taken to illustrate the emergence of the familiar classical, dynamical world through the quantum interference of stationary states. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world. The connections between observables, operators and transformations are clearly explained and the standard commutation rules derived from the properties of spacetime. A chapter is devoted to entanglement, quantum computation, density operators and their role in thermodynamics, and the measurement problem. Scattering phenomena, including the origin of radioactivity, are handled early on in the accessible context of one dimension, and at the end of the book with some rigour in three dimensions. Hydrogen and helium are discussed in some detail and it is shown that quantum mechanics enables us to understand the structure of the periodic table without engaging with the complexities of many-electron atoms. Dirac notation is used from the outset and students are trained to move easily from one representation to another, choosing whichever representation is best suited to a particular problem. The mathematical prerequisites are no more than simple vector algebra, Taylor series expansion and the use of integrating factors to solve linear first order differential equations. Rigorous algebraic methods are preferred to the solution of partial differential equations.
Astrophysics is the physics of the stars, and more widely the physics of the Universe. It enables us to understand the structure and evolution of planetary systems, stars, galaxies, interstellar gas, and the cosmos as a whole. In this Very Short Introduction, the leading astrophysicist James Binney shows how the field of astrophysics has expanded rapidly in the past century, with vast quantities of data gathered by telescopes exploiting all parts of the electromagnetic spectrum, combined with the rapid advance of computing power, which has allowed increasingly effective mathematical modelling. He illustrates how the application of fundamental principles of physics - the consideration of energy and mass, and momentum - and the two pillars of relativity and quantum mechanics, has provided insights into phenomena ranging from rapidly spinning millisecond pulsars to the collision of giant spiral galaxies. This is a clear, rigorous introduction to astrophysics for those keen to cut their teeth on a conceptual treatment involving some mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable
Since it was first published in 1987, "Galactic Dynamics" has become the most widely used advanced textbook on the structure and dynamics of galaxies and one of the most cited references in astrophysics. Now, in this extensively revised and updated edition, James Binney and Scott Tremaine describe the dramatic recent advances in this subject, making "Galactic Dynamics" the most authoritative introduction to galactic astrophysics available to advanced undergraduate students, graduate students, and researchers. Every part of the book has been thoroughly overhauled, and many sections have been completely rewritten. Many new topics are covered, including N-body simulation methods, black holes in stellar systems, linear stability and response theory, and galaxy formation in the cosmological context. Binney and Tremaine, two of the world's leading astrophysicists, use the tools of theoretical physics to describe how galaxies and other stellar systems work, succinctly and lucidly explaining theoretical principles and their applications to observational phenomena. They provide readers with an understanding of stellar dynamics at the level needed to reach the frontiers of the subject. This new edition of the classic text is the definitive
introduction to the field.
This is the definitive treatment of the phenomenology of galaxies--a clear and comprehensive volume that takes full account of the extraordinary recent advances in the field. The book supersedes the classic text Galactic Astronomy that James Binney wrote with Dimitri Mihalas, and complements Galactic Dynamics by Binney and Scott Tremaine. It will be invaluable to researchers and is accessible to any student who has a background in undergraduate physics. The book draws on observations both of our own galaxy, the Milky Way, and of external galaxies. The two sources are complementary, since the former tends to be highly detailed but difficult to interpret, while the latter is typically poorer in quality but conceptually simpler to understand. Binney and Merrifield introduce all astronomical concepts necessary to understand the properties of galaxies, including coordinate systems, magnitudes and colors, the phenomenology of stars, the theory of stellar and chemical evolution, and the measurement of astronomical distances. The book's core covers the phenomenology of external galaxies, star clusters in the Milky Way, the interstellar media of external galaxies, gas in the Milky Way, the structure and kinematics of the stellar components of the Milky Way, and the kinematics of external galaxies. Throughout, the book emphasizes the observational basis for current understanding of galactic astronomy, with references to the original literature. Offering both new information and a comprehensive view of its subject, it will be an indispensable source for professionals, as well as for graduate students and advanced undergraduates.
The Physics of Quantum Mechanics aims to give students a good understanding of how quantum mechanics describes the material world. It shows that the theory follows naturally from the use of probability amplitudes to derive probabilities. It stresses that stationary states are unphysical mathematical abstractions that enable us to solve the theory's governing equation, the time-dependent Schroedinger equation. Every opportunity is taken to illustrate the emergence of the familiar classical, dynamical world through the quantum interference of stationary states. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world. The connections between observables, operators and transformations are clearly explained and the standard commutation rules derived from the properties of spacetime. A chapter is devoted to entanglement, quantum computation, density operators and their role in thermodynamics, and the measurement problem. Scattering phenomena, including the origin of radioactivity, are handled early on in the accessible context of one dimension, and at the end of the book with some rigour in three dimensions. Hydrogen and helium are discussed in some detail and it is shown that quantum mechanics enables us to understand the structure of the periodic table without engaging with the complexities of many-electron atoms. Dirac notation is used from the outset and students are trained to move easily from one representation to another, choosing whichever representation is best suited to a particular problem. The mathematical prerequisites are no more than simple vector algebra, Taylor series expansion and the use of integrating factors to solve linear first order differential equations. Rigorous algebraic methods are preferred to the solution of partial differential equations.
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