The Semiclassical Way to Dynamics and Spectroscopy

The Semiclassical Way to Dynamics and Spectroscopy
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动力学和光谱学的半经典方法

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发表时间:
2018
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通讯作者:
E. Heller
E. Heller
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作者:
E. Heller

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一个研究生水平的文本,检查量子力学的半经典方法 物理系统传统上是用经典力学或量子力学来描述的。但近年来,半经典方法发展迅速,为量子动力学和光谱学提供了深刻的物理见解和计算工具。在这本书中,埃里克·海勒介绍并发展了这一主题,用许多例子证明了它的力量。  在书的前半部分,海勒涵盖了经典力学的相关方面,从他们的建设半经典的方式通过半经典极限的费曼路径积分。这本书的后半部分将这种方法应用于各种光谱学,例如分子光谱学和电子成像以及强调隧道效应的量子动力学系统。采用一个明显的时间依赖的观点,海勒认为半经典理论从实验和理论的Vantage点有价值的研究在物理和化学。具有超过200个数字,这本书提供了一个几何,相空间和坐标空间的途径,以更好地理解。 充满了实际的例子和应用,动力学和光谱学的半经典方法是成功深入研究量子力学这一独特领域所必需的工具的全面介绍。   用经典力学做量子力学的综合方法 两百多个数字辅助直觉 着重于半经典绿色函数和波包透视,以及隧道效应和光谱学 章节包括经典混沌系统的量子力学,量子疤痕,和其他现代动力学主题
A graduate-level text that examines the semiclassical approach to quantum mechanics Physical systems have been traditionally described in terms of either classical or quantum mechanics. But in recent years, semiclassical methods have developed rapidly, providing deep physical insight and computational tools for quantum dynamics and spectroscopy. In this book, Eric Heller introduces and develops this subject, demonstrating its power with many examples.   In the first half of the book, Heller covers relevant aspects of classical mechanics, building from them the semiclassical way through the semiclassical limit of the Feynman path integral. The second half of the book applies this approach to various kinds of spectroscopy, such as molecular spectroscopy and electron imaging and quantum dynamical systems with an emphasis on tunneling. Adopting a distinctly time-dependent viewpoint, Heller argues for semiclassical theories from experimental and theoretical vantage points valuable to research in physics and chemistry. Featuring more than two hundred figures, the book provides a geometric, phase-space, and coordinate-space pathway to greater understanding. Filled with practical examples and applications, The Semiclassical Way to Dynamics and Spectroscopy is a comprehensive presentation of the tools necessary to successfully delve into this unique area of quantum mechanics.   A comprehensive approach for using classical mechanics to do quantum mechanics More than two hundred figures to assist intuition Emphasis on semiclassical Green function and wave packet perspective, as well as tunneling and spectroscopy Chapters include quantum mechanics of classically chaotic systems, quantum scarring, and other modern dynamical topics