Advanced Quantum Mechanics

By Satyendra Kumar Gautam, Edited by Aiden Hopkins

Advanced Quantum Mechanics is a specialized text that delves into the deeper principles and mathematical foundations of quantum theory, typically studied after an introductory course in quantum mechanics. The book explores advanced topics such as quantum field theory, relativistic quantum mechanics, scattering theory, second quantization, and the Dirac equation. It often begins with a review of fundamental quantum concepts-like wave functions, operators, and the Schrödinger equation-before progressing into more abstract and generalized formalisms. One of the key themes is the integration of special relativity with quantum mechanics, leading to a natural treatment of particle creation and annihilation, a cornerstone of quantum field theory. Throughout the book, special attention is given to the mathematical rigor and physical insight required to master the subject. Students are introduced to advanced mathematical tools such as spinor algebra, gamma matrices, Green's functions, and the S-matrix formalism, which are essential for describing scattering processes and perturbative expansions. The interplay between mathematics and physics is emphasized to build a holistic understanding of the underlying concepts. Real-world applications, from particle accelerators to condensed matter systems, are used to highlight the relevance of these abstract theories. With a combination of detailed derivations, illustrative examples, and challenging problems, Advanced Quantum Mechanics not only serves as a comprehensive textbook for graduate students but also as a reference for researchers aiming to explore the quantum foundations of the universe. Advanced Quantum Mechanics explores the principles and mathematical framework of quantum theory beyond the nonrelativistic level, focusing on field quantization and relativistic particles. Contents: 1. Introduction, 2. Quantum Mechanics, 3. Carriers of Consciousness in Quantum States, 4. Quantum and Wave Mechanics, 5. Paradoxes of Quantum Phenomena, 6. Physical Quantum States, 7. Quantum Theory, 8. Scattering Theory, 9. Relativity and Quantum Mechanics, 10. Conservation of Energy.

Satyendra Kumar Gautam is a distinguished professor and esteemed scholar, widely recognized for his extensive work in Experimental Nuclear Physics. Eminent for his research on the Dielectric Behaviour of Organic Liquids and Mixtures, he earned his M.Phil from Dr. B.R. Ambedkar University, Agra in 2002. Currently, he is pursuing his Ph.D. at the same university, focusing on Fusion versus Fission Processes in Heavy Ion Induced Reactions at Several Excitation Energies, a cutting-edge exploration of nuclear reaction mechanisms. An alumnus of Dr. B.R. Ambedkar University, Professor Gautam holds dual postgraduate degrees in Physics and Education, underscoring both his scientific depth and pedagogical expertise. His academic career began with five years as a Lecturer at the higher secondary level in Aligarh, where he laid a strong foundation in teaching. Presently, he serves as a Senior Assistant Professor in the Department of Physics at Shri Varshney College, Aligarh, where he continues to blend teaching with active research. His scholarly engagement is reflected in over many research papers published in reputed journals and more than several papers presented at national and international seminars, conferences, and symposiums particularly in the domains of nuclear physics and comparative physics studies. In addition to his research contributions, Professor Gautam is also an accomplished author, with several textbooks to his credit, which have enriched academic resources for students and scholars alike. With over 20 years of teaching experience in higher education, he remains deeply committed to advancing scientific knowledge and inspiring the next generation of physicists through both his teaching and his ongoing research.

ISBN978-1-83693-590-2
Copyright Year2027
Price$ 164
LanguageEnglish
FormatPDF
CategoryPHYSICS