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Hanslmeier A: New Windows into the
Universe

New Windows into the Universe

From the Hubble-, James Webb-, and Other Large Telescopes to Gravitational Wave Detectors

De Gruyter Studies in Mathematical Physics

Mirror symmetry is one of the most exciting ideas in mathematics to emerge in the last two decades. It was introduced in physics as a duality between superconformal field theories. This book discusses this rapidly developing aspect of string theory.

Laurent Polynomials in Mirror Symmetry

Astronomers' Universe

One of the most stunning features of the night sky, and Earth's home, the Mily Way is fertile ground for exploring the mysteries of the universe. This book will provide an overview of how astronomers have attempted to uncover our Galaxy's past, and how current models of its structure may account for some of the most recent observations.&nbsp;Indeed, the&nbsp;distribution of chemical elements in our Galaxy serves as a 'fossil record' of its evolutionary history and is a powerful tool for studying the formation and evolution, not only of the Milky Way, but also of other galaxies.In their journey through the history of our Galaxy the authors answer many fascinating and intriguing questions, such as: what can the Milky Way tell us about the Big Bang? What were the very first stars like? Are we able to find any of these first stars, still shining today, but born at a time when no metals had been formed and the gas and the Galaxy consisted of only hydrogen and helium? How did the main biogenic elements form and how are they distributed throughout the Galaxy? Are there regions of our Galaxy where Earth-like planets such as ours might more easily form?The text is addressed to the curious or interested reader and is intended to unveil to a general popular science audience some of the topics about the structure and evolution of our Galaxy which are now the subject of hot debate amongst professional astronomers around the world.

A Natural History of the Milky Way

This book covers a great variety of problems on electricity and magnetism described in the textbook, "Electricity and Magnetism", in which superconductors are classified as one kind of magnetic materials. These problems will be helpful for a deeper understanding of the E-B analogy through a comparison between static electric and magnetic phenomena. Additionally, the usefulness of the vector potential is widely introduced. For example, the vector potential is directly used to determine the induced electromotive force.&nbsp;The author provides various exercises that are not covered in the textbook. The Poynting vector is useful for understanding the energy flow into capacitors or transmission lines during a charging process or into resistors during a dissipation process. A comparison between normal conducting and superconducting transmission lines shows a clear difference in the energy flow, although the final stored magnetic energy is the same. The electromagnetic potential of electromagnetic transverse electric (TE) and transverse magnetic (TM) waves in a waveguide also presents an interesting difference: The electric potential is zero in one case and non-zero in the other case. The reason for such a difference is explored. The relationship between the electric charge and electric current induced on the conductor surface is investigated for an electromagnetic wave in a waveguide or for that reflected on a conductor surface.&nbsp;This exercise book can be used together with the textbook 'Electricity and Magnetism' by the same author.

100 Examples and 400 Exercises

Exercises in Electricity and Magnetism

The Frontiers Collection

Complex systems seem to magically emerge from the interactions of their parts.&nbsp; A whirlpool emerges from water molecules.&nbsp; A living cell from organic molecules. You emerge from the cells of your body. Not since chaos has a concept from physics spread like wildfire to other disciplines. At the heart of emergence is the alluring idea that there’s more to the world than physics, a holistic component to nature, an edge of mystery.&nbsp;“Physics Fixes All the Facts” untangles emergence. This reveals something surprising: the term is redundant. In its weak form it is so weak that it applies to everything. In its strong form it is so restrictive that it is like the belief that there are pixies in your garden, impossible to exclude but not worth spending your time on. Graham then presents a framework called Austere Physicalism and uses it to reinterpret so-called emergent phenomena. In this radically materialist view, we are nothing but physical systems among others. The book ends with an exploration of what this means for&nbsp;free will and consciousness.Scientists and philosophers alike will find unexpected and exciting ideas in these pages. But the target audience is much broader including students who want to add context to their studies and the intellectually curious with some scientific background.“My envy of Graham’s erudition is only surpassed by my admiration of his achievement. This is the definitive guide to why the physical facts fix all the facts! It’s also the definitive diagnosis of all the specious arguments against this simple truth.”, Alex Rosenberg, R. Taylor Cole Professor of Philosophy, Duke University.&nbsp;

Physics Fixes All the Facts

Statistical mechanics employs the power of probability theory to shine a light upon the invisible world of matter's fundamental constituents, allowing us to accurately model the macroscopic physical properties of large ensembles of microscopic particles. This book delves into the conceptual and mathematical foundations of statistical mechanics to enhance understanding of complex physical systems and thermodynamic phenomena, whilst also providing a solid mathematical basis for further study and research in this important field. Readers will embark on a journey through important historical experiments in statistical physics and thermodynamics, exploring their intersection with modern applications, such as the thermodynamics of stars and the entropy associated with the mixing of two substances. An invaluable resource for students and researchers in physics and mathematics, this text provides numerous worked examples and exercises with full solutions, reinforcing key theoretical concepts and offering readers deeper insight into how these powerful tools are applied.

Statistical Mechanics for Physicists and Mathematicians

The nine chapters of this book make appeal to thermodynamic notions and laws to get under the hood of mathematics without just echoing things best said and written in math books. It presents a novel perspective to students and teachers in the physical sciences, biology, and mathematics, with the goal of enriching classroom and seminar hours.

The Thermodynamics of Mathematical Representation

In Mathematical Methods for Physics using Microsoft EXCEL, readers will investigate topics from classical to quantum mechanics, which are often omitted from the course work. Some of these topics include rocket propulsion, Rutherford scattering, and boundary value problems and associated special functions as orthonormal bases

Mathematical Methods for Physics using Microsoft EXCEL

This innovative textbook has been designed with approachability and engagement at its forefront, using language reminiscent of a live lecture and interspersing the main text with useful advice and expansions. Striking a balance between theoretical- and experimental-led approaches, this book immediately immerses the reader in charge and neutral currents, which are at the core of the Standard Model, before presenting the gauge field, allowing the introduction of Feynman diagram calculations at an early stage. This novel and effective approach gives readers a head start in understanding the Model's predictions, stoking interest early on. With in-chapter problem sessions which help readers to build their mastery of the subject, clarifying notes on equations, end of chapter exercises to consolidate learning, and marginal comments to guide readers through the complexities of the Standard Model, this is the ideal book for graduate students studying high energy physics.

A Practical Step-by-Step Guide

The Standard Model

Springer Proceedings in Mathematics & Statistics

NTADES 2024, Saints Constantine and Helena, Bulgaria, July 7–10

New Trends in the Applications of Differential Equations in Sciences

Springer Theses

The thesis illustrates, with a remarkable combination of theoretical analysis and experimental investigation, how the static Hamiltonian of an oscillator with both 3rd and 4th order non-linearity can morph into a profoundly different Hamiltonian under the influence of an oscillating driving force. In a classical system, such transformation would not be considered a novelty, but the author demonstrates that the new Hamiltonian can possess an exotic symmetry with surprising new quantum properties that one would never anticipate from the original Hamiltonian, with no classical equivalent. The root cause of these unexpected properties is a subtle interference effect, which is only possible in a quantum context. Carefully crafted control experiments ensure that measured data are compared with theoretical predictions with no adjustable parameters. Instrumental in this comparison is a new diagrammatic theory developed by the author.

Controlling the Effective Hamiltonian of a Driven Quantum Superconducting Circuit

"This comprehensively updated second edition introduces graduate students and researchers to nonequilibrium many-body quantum systems, time-resolved techniques, and ultrafast phenomena in modern science. Covering a rapidly evolving field, the book includes original material and rigorous derivations, insightful discussions and illustrative examples"--

A Modern Introduction

Nonequilibrium Many-Body Theory of Quantum Systems

Lecture Notes in Physics

This book introduces foundational topics such as group theory, fields, linear algebra, matrix theory, and graph theory, providing readers with the essential background needed to understand Feynman diagrams and their integral representations.&nbsp; 
The book highlights Feynman's parametrization as a central tool for studying Feynman integrals, starting with the traditional momentum representation. Schwinger and Lee-Pomeransky parametrizations are covered in a supplementary chapter. Readers will develop a clear understanding of the mathematical properties and practical applications of these techniques, with a particular emphasis on Feynman’s approach. Advanced topics such as integration-by-parts identities and intersection number theory are explored in the final chapter, offering readers a gateway to key mathematical structures. 
The prerequisites are minimal—only a basic familiarity with algebra and calculus is recommended. The content begins with introductory concepts and gradually progresses to more advanced material, ensuring a balanced learning curve. Practical examples throughout the book reinforce the main ideas, allowing readers to apply what they’ve learned and deepen their understanding as they move through the material. 
&nbsp;

Insights into Feynman Diagrams

Lectures on Graph Theory

New Windows into the Universe

Informations bibliographiques

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