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Abraham–Lorentz force

Book Blurb: Abraham–Lorentz Force Delve into the intricate world of electrodynamics with Abraham–Lorentz Force, a comprehensive exploration that spans over a century of scientific discovery. This book takes you on a journey from the foundational principles of classical electrodynamics, as established by Maxwell and Lorentz, through the early developments in radiation reaction and the formulation of the non-relativistic Abraham–Lorentz force. It then ventures into the realm of relativity with detailed analyses of the Abraham–Lorentz–Dirac equation and its modern extensions, including alternate formulations such as the Landau–Lifshitz approach. At its core, Abraham–Lorentz Force bridges the gap between theory and experiment. Readers will discover advanced theoretical perspectives, delve into experimental investigations that test these ideas, and explore how collective phenomena in plasmas and quantum theories converge to shape our understanding of self-interaction. The latter chapters address future directions and unresolved questions, challenging the reader to consider the classical–quantum transition, self-force problems in quantum gravity and string theory, and even the quest for a grand unified theory. Structured into twelve meticulously organized chapters, the book begins with: • Chapter 1: Foundations of Classical Electrodynamics – Laying the groundwork with Maxwell’s equations and the Lorentz force. • Chapter 2: Early Developments in Radiation Reaction – Tracing the pioneering work that first identified the self-interaction of accelerating charges. • Chapter 3: The Non-Relativistic Abraham–Lorentz Force – Analyzing the classical self-force in low-speed regimes. • Chapter 4: Relativistic Extensions and the Abraham–Lorentz–Dirac Equation – Extending the theory into the relativistic domain. • Chapter 5: Alternate Formulations and the Landau–Lifshitz Approach – Introducing pragmatic alternatives that avoid pathological predictions. • Chapter 6: Advanced Theoretical Perspectives – Exploring cutting-edge ideas that push the boundaries of current models. • Chapter 7: Experimental Investigations and Observations – Reviewing key experiments that validate and challenge theoretical predictions. • Chapter 8: Collective Phenomena in Plasmas – Examining how self-interaction affects the dynamics of complex plasma systems. • Chapter 9: Connections to Quantum Theories – Linking classical concepts to quantum electrodynamics and beyond. • Chapter 10: Future Directions and Unresolved Questions – Highlighting emerging research frontiers and ongoing challenges. • Chapter 11: Appendices – Providing essential mathematical identities, notational conventions, and historical documents. • Chapter 12: Analysis of References in Electrodynamics and Radiation Reaction – Evaluating the significance and impact of seminal works in the field. This book is an indispensable resource for PhD students, researchers, and professionals seeking to gain a deep, nuanced understanding of radiation reaction and self-interaction. It blends rigorous theory with practical insights, supported by extensive historical context and modern experimental evidence. With clear explanations, vivid analogies, and carefully structured content, Abraham–Lorentz Force not only encapsulates the evolution of electrodynamics but also illuminates the future directions of this dynamic field.
Andrew_Bardsley · 852 Views

Stolen By My Billionaire Brother-In-Law

“I’m no angel, baby girl. I’ll make you cry, curse, and scream every night once you’re mine. So think twice before you sign this goddamn contract.” +++ Rivana Faye thought nothing could get worse than catching her husband and step-sister making out on their wedding anniversary, only to be shot dead the same day. Instead of the afterlife, Rivana woke up back in the past, on her wedding day, staring right into the eyes of the same bastard who had ruined her life. Fueled by vengeance, she planned to marry him and tear his world apart, just as he had done to her in her previous life. That is, until Azrael Dynar, her supposed husband’s older brother, stepped in with a shocking claim: that they were already married?! "Wifey, are you cheating on me with this tiny loser? Tch, you have poor taste," Azrael drawled, flashing their marriage certificate to everyone's horror. Azrael was everything Rivana had heard in hushed whispers: cold, cunning, and irresistibly seductive. But to her, he was oddly caring and fiercely protective. He even vowed to destroy everyone who had hurt her as long as she continued to be his side, as his darling wife! And the deeper Rivana sank into Azrael’s world, the more her defenses crumbled, leaving her with nothing but growing desires for him. Little did she know, the man she was falling for was no guardian angel but a devil—one responsible for her death, and the very one who could destroy her all over again. --- Excerpt: "You seem to have experience in seducing women, Mr. Dynar," Rivana joked, licking her ice cream. Azrael smirked at her laugh, and the next moment, he pulled her chair closer, causing Rivana's heart to skip a beat. Before she could catch her breath, he suddenly captured her lips, tasting the sweet chocolate on her lips. Pulling back slightly, Azrael smiled, enjoying her reaction. Tracing her lower lip with his thumb, he declared, "You are the first woman I have ever tried to seduce, Rain. And you will also be the last."
Zelra · 272.9K Views
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