Scattering resonances generalize bound states/eigenvalues for systems in which energy can scatter to infinity. A typical resonance has a rate of oscillation (just as a bound state does) and a rate of decay. Although the notion is intrinsically dynamical, an elegant mathematical formulation comes from considering meromorphic continuations of Green's functions. The poles of these meromorphic continuations capture physical information by identifying the rate of oscillation with the real part of a pole and the rate of decay with its imaginary part. An example from mathematics is given by the zeros of the Riemann zeta function: they are, essentially, the resonances of the Laplacian on the modular surface. The Riemann hypothesis then states that the decay rates for the modular surface are all either or . An example from physics is given by quasi-normal modes of black holes which appear in long-time asymptotics of gravitational waves. This book concentrates mostly on the simplest case of scattering by compactly supported potentials but provides pointers to modern literature where more general cases are studied. It also presents a recent approach to the study of resonances on asymptotically hyperbolic manifolds. The last two chapters are devoted to semiclassical methods in the study of resonances.
Steve "Sneeze" Wyatt attempts to thwart his parents' plan to have him skip eighth grade, but he has bigger problems when his friends disapprove of his new list and Mrs. "Fierce" Pierce threatens to keep him from the Invention Convention.
Spiritually nourishing approaches to help you become more insightful, inspired parents and raise soulfully engaged children. Kipnes and November share their hard-won parenting techniques and spirit-filled activities, rituals and prayers to help you cultivate strong Jewish values and cherished spiritual memories in your own family.
A princess thinks she was a bird, a coconut that cost a thousand rupees, and a shepherd with a bag of words...Kings and misers, princes and paupers, wise men and foolish boys, the funniest and oddest men and women come alive in this sparkling new collection of stories. The clever princess will only marry the man who can ask her a question she cannot answer; the orphan boy outwits his greedy uncles with a bag of ash; and an old couple in distress is saved by a magic drum. Sudha Murty's grandparents told her some of these stories when she was a child; others she heard from her friends from around the world. These delightful and timeless folktales have been her favourites for years, and she has recounted them many times over to the young people in her life. With this collection, they will be enjoyed by many more readers, of all ages. Age group of target audience is 8+.
How do you teach tolerance, self-awareness, and responsibility? How can you help children deal with fear, mistrust, or aggression? Play a game with them! Games are an ideal way to help children develop social and emotional skills; they are exciting, relaxing, and fun. 101 LIFE SKILLS GAMES FOR CHILDREN: LEARNING, GROWING, GETTING ALONG (Ages 6-12) is a resource that can help children understand and deal with problems that arise in daily interactions with other children and adults. These games help children develop social and emotional skills and enhance self-awareness. The games address the following issues: dependence, aggression, fear, resentment, disability, accusations, boasting, honesty, flexibility, patience, secrets, conscience, inhibitions, stereotypes, noise, lying, performance, closeness, weaknesses, self confidence, fun, reassurance, love, respect, integrating a new classmate, group conflict. Organized in three main chapters: (I-Games, You-Games and We-Games), the book is well structured and easily accessible. It specifies an objective for every game, gives step-by-step instructions, and offers questions for reflection. It provides possible variations for each game, examples, tips, and ideas for role plays. Each game contains references to appropriate follow-up games and is illustrated with charming drawings.
Earthworm Jim and Cat Scratch creator, Douglas Tennapel, brings his next graphic novel following Iron West and Flink — Monster Zoo! Monster Zoo tells the story of a young boy who discovers his local zoo may be more frightening than he imagined!