The Theory of Jacobi Forms

The Theory of Jacobi Forms
Author: Martin Eichler
Publisher: Springer Science & Business Media
Total Pages: 156
Release: 2013-12-14
Genre: Mathematics
ISBN: 1468491628

The functions studied in this monogra9h are a cross between elliptic functions and modular forms in one variable. Specifically, we define a Jacobi form on SL (~) to be a holomorphic function 2 (JC = upper half-plane) satisfying the t\-10 transformation eouations 2Tiimcz· k CT +d a-r +b z) (1) ((cT+d) e cp(T, z) cp CT +d ' CT +d (2) rjl(T, z+h+]l) and having a Four·ier expansion of the form 00 e2Tii(nT +rz) (3) cp(T, z) 2: c(n, r) 2:: rE~ n=O 2 r ~ 4nm Here k and m are natural numbers, called the weight and index of rp, respectively. Note that th e function cp (T, 0) is an ordinary modular formofweight k, whileforfixed T thefunction z-+rjl( -r, z) isa function of the type normally used to embed the elliptic curve ~/~T + ~ into a projective space. If m= 0, then cp is independent of z and the definition reduces to the usual notion of modular forms in one variable. We give three other examples of situations where functions satisfying (1)-(3) arise classically: 1. Theta series. Let Q: ~-+ ~ be a positive definite integer valued quadratic form and B the associated bilinear form.

Thermodynamics and Statistical Mechanics

Thermodynamics and Statistical Mechanics
Author: Walter Greiner
Publisher: Springer Science & Business Media
Total Pages: 470
Release: 2012-12-06
Genre: Science
ISBN: 1461208270

From the reviews: "This book excels by its variety of modern examples in solid state physics, magnetism, elementary particle physics [...] I can recommend it strongly as a valuable source, especially to those who are teaching basic statistical physics at our universities." Physicalia

Compact Star Physics

Compact Star Physics
Author: Jürgen Schaffner-Bielich
Publisher: Cambridge University Press
Total Pages: 325
Release: 2020-08-27
Genre: Science
ISBN: 1107180899

This introduction to compact star physics explains key concepts from general relativity, thermodynamics and nuclear physics.

Particle Accelerator Physics I

Particle Accelerator Physics I
Author: Helmut Wiedemann
Publisher: Springer Science & Business Media
Total Pages: 465
Release: 2012-12-06
Genre: Science
ISBN: 3662038277

In this second edition of Particle Accelerator Physics, Vol. 1, is mainly a reprint of the first edition without significant changes in content. The bibliography has been updated to include more recent progress in the field of particle accelerators. With the help of many observant readers a number of misprints and errors could be eliminated. The author would like to express his sincere appreciation to all those who have pointed out such shortcomings and wel comes such information and any other relevant information in the future. The author would also like to express his special thanks to the editor Dr. Helmut Lotsch and his staff for editorial as well as technical advice and support which contributed greatly to the broad acceptance of this text and made a second edition of both volumes necessary. Palo Alto, California Helmut Wiedemann November 1998 VII Preface to the First Edition The purpose of this textbook is to provide a comprehensive introduction into the physics of particle accelerators and particle beam dynamics. Parti cle accelerators have become important research tools in high energy physics as well as sources of incoherent and coherent radiation from the far infra red to hard x-rays for basic and applied research. During years of teaching accelerator physics it became clear that the single most annoying obstacle to get introduced into the field is the absence of a suitable textbook.

Particle Physics

Particle Physics
Author: Necia Grant Cooper
Publisher: CUP Archive
Total Pages: 220
Release: 1988-04-29
Genre: Science
ISBN: 9780521347808

This book explains the emergence of a profoundly new understanding of the fundamental forces of Nature.

Particle Physics Reference Library

Particle Physics Reference Library
Author: Herwig Schopper
Publisher: Springer Nature
Total Pages: 632
Release: 2020
Genre: Heavy ions
ISBN: 3030382079

This first open access volume of the handbook series contains articles on the standard model of particle physics, both from the theoretical and experimental perspective. It also covers related topics, such as heavy-ion physics, neutrino physics and searches for new physics beyond the standard model. A joint CERN-Springer initiative, the "Particle Physics Reference Library" provides revised and updated contributions based on previously published material in the well-known Landolt-Boernstein series on particle physics, accelerators and detectors (volumes 21A, B1,B2,C), which took stock of the field approximately one decade ago. Central to this new initiative is publication under full open access