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A Course in Theoretical Physics
A Course in Theoretical Physics

This book is a comprehensive account of five extended modulescovering the key branches of twentieth-century theoretical physics,taught by the author over a period of three decades to students onbachelor and master university degree courses in both physics andtheoretical physics.

The modules cover nonrelativistic quantum mechanics,...

Groups and Symmetries: From Finite Groups to Lie Groups (Universitext)
Groups and Symmetries: From Finite Groups to Lie Groups (Universitext)

The theory of group representations is a fundamental subject at the intersection of algebra, geometry and analysis, with innumerable applications in other domains of pure mathematics and in the physical sciences: chemistry, molecular biology and physics, in particular crystallography, classical and quantum mechanics and quantum field theory.

...
Probability and Schrodinger's Mechanics
Probability and Schrodinger's Mechanics

The presentation and interpretation of (non-relativistic) quantum mechanics is a very well-worked area of study; there have to be very good reasons for adding to the literature on this subject.

My reasons are (obviously) that I am far from satisfied with much of the published work and find difficulties with some points, in
...

Quantum Gravitation: The Feynman Path Integral Approach
Quantum Gravitation: The Feynman Path Integral Approach
The book covers the theory of Quantum Gravitation from the point of view of Feynman path integrals. These provide a manifestly covariant approach in which fundamental quantum aspects of the theory such as radiative corrections and the renormalization group can be systematically and consistently addressed. The path integral method is suitable for...
An Introduction to Tensors and Group Theory for Physicists
An Introduction to Tensors and Group Theory for Physicists

The second edition of this highly praised textbook provides an introduction to tensors, group theory, and their applications in classical and quantum physics. Both intuitive and rigorous, it aims to demystify tensors by giving the slightly more abstract but conceptually much clearer definition found in the math literature, and then connects...

Approximation Methods for Polynomial Optimization: Models, Algorithms, and Applications (SpringerBriefs in Optimization)
Approximation Methods for Polynomial Optimization: Models, Algorithms, and Applications (SpringerBriefs in Optimization)
Polynomial optimization, as its name suggests, is used to optimize a generic multivariate polynomial function, subject to some suitable polynomial equality and/or inequality constraints. Such problem formulation dates back to the nineteenth century when the relationship between nonnegative polynomials and sum of squares (SOS) was...
Einstein, Physics and Reality
Einstein, Physics and Reality

Albert Einstein was one of the principal founders of the quantum and relativity theories. Until 1925, when the Bose-Einstein statistics was discovered, he made great contributions to the foundations of quantum theory. However, after the discovery of quantum mechanics by Heisenberg and wave mechanics by Schrodinger, with the consequent...

Introductory Nuclear Physics
Introductory Nuclear Physics
In the half dozen years or so since the first publication of Introductory Nuclear Physics, there have been several new developments and changes in the emphasis in the field. This, together with the enthusiastic feedback from colleagues and students, makes it imperative to publish a new edition.

For an active topic of research, a textbook
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Quantum Circuit Simulation
Quantum Circuit Simulation

Quantum Circuit Simulation covers the fundamentals of linear algebra and introduces basic concepts of quantum physics needed to understand quantum circuits and algorithms. It requires only basic familiarity with algebra, graph algorithms and computer engineering. After introducing necessary background, the authors describe key simulation...

Theoretical Astrophysics: An Introduction
Theoretical Astrophysics: An Introduction

Beginning from first principles and adopting a modular structure, this book develops the fundamental physical methods needed to describe and understand a wide range of seemingly very diverse astrophysical phenomena and processes. For example, the discussion of radiation processes including their spectra is based on Larmor's equation and...

Tensor Categories and Endomorphisms of von Neumann Algebras: with Applications to Quantum Field Theory (SpringerBriefs in Mathematical Physics)
Tensor Categories and Endomorphisms of von Neumann Algebras: with Applications to Quantum Field Theory (SpringerBriefs in Mathematical Physics)

C* tensor categories are a point of contact where Operator Algebras and Quantum Field Theory meet. They are the underlying unifying concept for homomorphisms of (properly infinite) von Neumann algebras and representations of quantum observables.

The present introductory text reviews the basic notions and their cross-relations in...

Path Integrals in Physics Volume 2: Quantum Field Theory, Statistical Physics & Other Modern Applications
Path Integrals in Physics Volume 2: Quantum Field Theory, Statistical Physics & Other Modern Applications
This book covers the fundamentals of path integrals, both the Wiener and Feynman types, and their many applications in physics. It deals with systems that have an infinite number of degrees of freedom. The book discusses the general physical background and concepts of the path integral approach used, followed by the most typical and important...
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