Reversing Time

The arrow of time refers to the curious asymmetry that distinguishes the future from the past. Reversing the Arrow of Time argues that there is an intimate link between the symmetries of 'time itself' and time reversal symmetry in physical theories, which has wide-ranging implications for both physics and its philosophy. This link helps to clarify how we can learn about the symmetries of our world; how to understand the relationship between symmetries and what is real, and how to overcome pervasive illusions about the direction of time. Roberts explains the significance of time reversal in a way that intertwines physics and philosophy, to establish what the arrow of time means and how we can come to know it. This book is both mathematically and philosophically rigorous yet remains accessible to advanced undergraduates in physics and philosophy of physics. This title is also available as Open Access on Cambridge Core.

A fast-paced fantasy YA novel that explores vital themes in today's society - such as climate change and the environment - within the context of an exciting page-turner. This timely adventure story will empower and excite young people at the same time

In Cycles of Time, author Louis Komzsik offers a comprehensive study of time, its relation to astronomy, and its relative nature. He reviews interesting tidbits of the historical evolution of our understanding of time and discusses some philosophical ideas about the topic. He explores the history of time, its origins in the celestial cycles observed by ancient cultures, and the expansion of our time horizon into cosmic cycles. He examines and debunks the doomsday predictions about the year 2012, and discusses the large scale measuring of time, gradually refined by humankind with medium scale instruments of calendars bringing time to the horizon of a human lifetime. While investigating the physical aspects of time, Cycles of Time examines time's relativity and ponders the possibility of time travel. Influencing one's past, an attractive idea to all of us and the potential cause of the grandfather paradox, may not be theoretically possible, but also merits speculation. Cycles of Time explains time's very strong trichotomy of past, present, and future in their simplest definitions: the past we remember, the present we experience now, and the future we anticipate.

Offers an inside look at the Red Sox/Yankees rivalry and their ultimately historic 2004 season.

Hailed as the permanent record of fleeting moments, the cinema emerged at the turn of the nineteenth century as an unprecedented means of capturing time--and this at a moment when disciplines from physics to philosophy, and historical trends from industrialization to the expansion of capitalism, were transforming the very idea of time. In a work that itself captures and reconfigures the passing moments of art, history, and philosophy, Mary Ann Doane shows how the cinema, representing the singular instant of chance and ephemerality in the face of the increasing rationalization and standardization of the day, participated in the structuring of time and contingency in capitalist modernity. At this book's heart is the cinema's essential paradox: temporal continuity conveyed through "stopped time," the rapid succession of still frames or frozen images. Doane explores the role of this paradox, and of notions of the temporal indeterminacy and instability of an image, in shaping not just cinematic time but also modern ideas about continuity and discontinuity, archivability, contingency and determinism, and temporal irreversibility. A compelling meditation on the status of cinematic knowledge, her book is also an inquiry into the very heart and soul of modernity.

This book discusses dynamical systems that are typically driven by stochastic dynamic noise. It is written by two statisticians essentially for the statistically inclined readers. It covers many of the contributions made by the statisticians in the past twenty years or so towards our understanding of estimation, the Lyapunov-like index, the nonparametric regression, and many others, many of which are motivated by their dynamical system counterparts but have now acquired a distinct statistical flavor.

A Course in Quantum Mechanics Unique graduate-level textbook on quantum mechanics by John David Jackson, author of the renowned Classical Electrodynamics A Course in Quantum Mechanics is drawn directly from J. D. Jackson’s detailed lecture notes and problem sets. It is edited by his colleague and former student Robert N. Cahn, who has taken care to preserve Jackson’s unique style. The textbook is notable for its original problems focused on real applications, with many addressing published data in accompanying tables and figures. Solutions are provided for problems that are critical for understanding the material and that lead to the most important physical consequences. Overall, the text is comprehensive and comprehensible; derivations and calculations come with clearly explained steps. More than 120 figures illustrate underlying principles, experimental apparatus, and data. In A Course in Quantum Mechanics readers will find detailed treatments of: Wave mechanics of de Broglie and Schrödinger, the Klein-Gordon equation and its non-relativistic approximation, free particle probability current, expectation values. Schrödinger equation in momentum space, spread in time of a free-particle wave packet, density matrix, Sturm-Liouville eigenvalue problem. WKB formula for bound states, example of WKB with a power law potential, normalization of WKB bound state wave functions, barrier penetration with WKB. Rotations and angular momentum, representations, Wigner d-functions, addition of angular momenta, the Wigner-Eckart theorem. Time-independent perturbation theory, Stark, Zeeman, Paschen-Back effects, time-dependent perturbation theory, Fermi’s Golden Rule. Atomic structure, helium, multiplet structure, Russell-Saunders coupling, spin-orbit interaction, Thomas-Fermi model, Hartree-Fock approximation. Scattering amplitude, Born approximation, allowing internal structure, inelastic scattering, optical theorem, validity criterion for the Born approximation, partial wave analysis, eikonal approximation, resonance. Semi-classical and quantum electromagnetism, Aharonov-Bohm effect, Lagrangian and Hamiltonian formulations, gauge invariance, quantization of the electromagnetic field, coherent states. Emission and absorption of radiation, dipole transitions, selection rules, Weisskopf-Wigner treatment of line breadth and level shift, Lamb shift. Relativistic quantum mechanics, Klein-Gordon equation, Dirac equation, two-component reduction, hole theory, Foldy-Wouthuysen transformation, Lorentz covariance, discrete symmetries, non-relativistic and relativistic Compton scattering.