An Introduction to Covariant Quantum Mechanics

An Introduction to Covariant Quantum Mechanics
Author: Josef Janyška
Publisher: Springer Nature
Total Pages: 831
Release: 2022-04-06
Genre: Science
ISBN: 3030895890

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This book deals with an original contribution to the hypothetical missing link unifying the two fundamental branches of physics born in the twentieth century, General Relativity and Quantum Mechanics. Namely, the book is devoted to a review of a "covariant approach" to Quantum Mechanics, along with several improvements and new results with respect to the previous related literature. The first part of the book deals with a covariant formulation of Galilean Classical Mechanics, which stands as a suitable background for covariant Quantum Mechanics. The second part deals with an introduction to covariant Quantum Mechanics. Further, in order to show how the presented covariant approach works in the framework of standard Classical Mechanics and standard Quantum Mechanics, the third part provides a detailed analysis of the standard Galilean space-time, along with three dynamical classical and quantum examples. The appendix accounts for several non-standard mathematical methods widely used in the body of the book.

Covariant Loop Quantum Gravity

Covariant Loop Quantum Gravity
Author: Carlo Rovelli
Publisher: Cambridge University Press
Total Pages: 267
Release: 2015
Genre: Science
ISBN: 1107069629

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A comprehensible introduction to the most fascinating research in theoretical physics: advanced quantum gravity. Ideal for researchers and graduate students.

An Introduction To Covariant Quantum Gravity And Asymptotic Safety

An Introduction To Covariant Quantum Gravity And Asymptotic Safety
Author: Roberto Percacci
Publisher: World Scientific
Total Pages: 313
Release: 2017-02-17
Genre: Science
ISBN: 9813207191

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This book covers recent developments in the covariant formulation of quantum gravity. Developed in the 1960s by Feynman and DeWitt, by the 1980s this approach seemed to lead nowhere due to perturbative non-renormalizability. The possibility of non-perturbative renormalizability or 'asymptotic safety', originally suggested by Weinberg but largely ignored for two decades, was revived towards the end of the century by technical progress in the field of the renormalization group. It is now a very active field of research, providing an alternative to other approaches to quantum gravity.Written by one of the early contributors to this subject, this book provides a gentle introduction to the relevant ideas and calculational techniques. Several explicit calculations gradually bring the reader close to the current frontier of research. The main difficulties and present lines of development are also outlined.

Generally Covariant Quantum Theory.

Generally Covariant Quantum Theory.
Author: Johan Noldus
Publisher: Createspace Independent Publishing Platform
Total Pages: 240
Release: 2018-09-29
Genre:
ISBN: 9781724621511

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A book providing for two different solutions to quantum gravity and properly quantizing string theory by means of a geometrization of quantum mechanics.

Relativistic Quantum Mechanics with an Introduction to Tensors

Relativistic Quantum Mechanics with an Introduction to Tensors
Author: Mohammad Masroor Ahmed
Publisher: Blue Rose Publishers
Total Pages: 221
Release: 2022-04-11
Genre: Fiction
ISBN:

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Twentieth- the century began with two illustrious theories in Physics - Relativity and Quantum Mechanics, which completely changed our view about nature and force. While Quantum Mechanics deals with micro-particles, Relativity deals with particles moving at very high speed (comparable to the speed of light). Although Schrodinger's equation works well with micro-particles, it cannot handle particles at high speed. In truth, all the microparticles we deal with possess high speed. Hence, we have to look for an equation that can cope with micro- particles of high speed. Such an equation was provided by P.A.M Dirac. Apart from handling relativistic microparticles, the Dirac equation predicts the spin of the particles and also explains the negative energy state. Any relativistic phenomenon requires the understanding of Tensors. The first few chapters of the book, therefore, deals with the understanding of Tensors. The book is written in a self-study mode. Each step is clear and problems are solved to explain the concept better. The book, though an introductory one, can ignite a positive passion for the subject.

Generally Covariant Quantum Mechanics

Generally Covariant Quantum Mechanics
Author: Johan Noldus
Publisher:
Total Pages: 240
Release: 2018-09-29
Genre:
ISBN: 9781724150929

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This book provides for two different solutions to the problem of quantum gravity by reformulating quantum theory in a geometrical fashion. A proper quantization of string theory is discussed.

An Introduction to Quantum Theory

An Introduction to Quantum Theory
Author: Frank S. Levin
Publisher: Cambridge University Press
Total Pages: 812
Release: 2002
Genre: Science
ISBN: 9780521598415

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An undergraduate introductory quantum mechanics textbook with a large number of figures and exercises.

Gauge Fields

Gauge Fields
Author: L. D. Faddeev
Publisher: CRC Press
Total Pages: 236
Release: 2018-03-05
Genre: Science
ISBN: 0429962371

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First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.

An Introduction to Advanced Quantum Physics

An Introduction to Advanced Quantum Physics
Author: Hans Paar
Publisher: John Wiley & Sons
Total Pages: 224
Release: 2010-04-06
Genre: Science
ISBN: 9780470665091

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An Introduction to Advanced Quantum Physics presents important concepts from classical mechanics, electricity and magnetism, statistical physics, and quantum physics brought together to discuss the interaction of radiation and matter, selection rules, symmetries and conservation laws, scattering, relativistic quantum mechanics, apparent paradoxes, elementary quantum field theory, electromagnetic and weak interactions, and much more. This book consists of two parts: Part 1 comprises the material suitable for a second course in quantum physics and covers: Electromagnetic Radiation and Matter Scattering Symmetries and Conservation Laws Relativistic Quantum Physics Special Topics Part 2 presents elementary quantum field theory and discusses: Second Quantization of Spin 1/2 and Spin 1 Fields Covariant Perturbation Theory and Applications Quantum Electrodynamics Each chapter concludes with problems to challenge the students’ understanding of the material. This text is intended for graduate and ambitious undergraduate students in physics, material sciences, and related disciplines.

Relativistic Quantum Mechanics and Introduction to Field Theory

Relativistic Quantum Mechanics and Introduction to Field Theory
Author: Francisco J. Yndurain
Publisher: Springer Science & Business Media
Total Pages: 342
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642610579

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This advanced textbook supplies graduate students with a primer in quantum theory. A variety of processes are discussed with concepts such as potentials, classical current distributions, prescribed external fields dealt with in the framework of relativistic quantum mechanics. Then, in an introduction to field theory, the author emphasizes the deduction of the said potentials or currents. A modern presentation of the subject together with many exercises, unique in its unusual underlying concept of combining relativistic quantum mechanics with basic quantum field theory.