## subcategories

**Elementary** (20)

**Mathematical Methods** (18)

**Path Integral Formulation** (7)

**Quantum Field Theory** (30)

## see also

**Quantum Computing** (33)

**Quantum Optics** (9)

## e-books in Quantum Mechanics category

**Quantum Nonlocality**

by

**Lev Vaidman (ed.)**-

**MDPI AG**,

**2019**

This book presents the current views on the bizarre property of quantum theory: nonlocality. The contributions in the book describe the bizarre aspects of nonlocality -- a phenomenon which cannot be explained in the framework of classical physics.

(

**2085**views)

**Shortcuts to Adiabaticity: Concepts, Methods, and Applications**

by

**D. Guery-Odelin, et al.**-

**arXiv.org**,

**2019**

Shortcuts to adiabaticity are fast routes to the final results of slow adiabatic changes of the controlling parameters of a system. The shortcuts are designed by a set of analytical and numerical methods suitable for different systems and conditions.

(

**957**views)

**Lecture Notes on the Theory of Open Quantum Systems**

by

**Daniel A. Lidar**-

**arXiv.org**,

**2019**

This is a self-contained set of lecture notes covering various aspects of the theory of open quantum system, at a level of a graduate course. The main emphasis is on completely positive maps and master equations, both Markovian and non-Markovian.

(

**1073**views)

**On the Foundations of Quantum Theory**

by

**Badis Ydri**-

**arXiv.org**,

**2018**

We draw systematic parallels between the measurement problem in quantum mechanics and the information loss problem in black holes. Then we proceed to propose a solution of the former along the lines of the solution of the latter ...

(

**1705**views)

**Non-locality and Possible World**

by

**Tomasz F. Bigaj**-

**De Gruyter Open**,

**2013**

This book uses the formal semantics of counterfactual conditionals to analyze the problem of non-locality in quantum mechanics. Counterfactual conditionals (subjunctive conditionals) enter the analysis of quantum entangled systems ...

(

**1808**views)

**Principles of a 2nd Quantum Mechanics: Indeterminism, Non-locality, Unification**

by

**Mioara Mugur-Schächter**-

**arXiv.org**,

**2018**

A qualitative representation of microstates is established quite independently of the quantum mechanical mathematical formalism. The foundations of an intelligible reconstruction of the Hilbert-Dirac formulation of Quantum Mechanics is developed.

(

**2045**views)

**The Cellular Automaton Interpretation of Quantum Mechanics**

by

**Gerard 't Hooft**-

**Springer**,

**2016**

This book presents the deterministic view of quantum mechanics developed by Gerard 't Hooft. 't Hooft has revived the old hidden variable ideas, but now in a much more systematic way. Quantum mechanics is viewed as a tool rather than a theory.

(

**2292**views)

**NetWorld!: What People are Really Doing on the Internet**

by

**David H. Rothman**-

**Prima Communications**,

**1996**

The Net is revolutionizing the way millions of people work, learn, fall in love, create art, do business, make friends, and entertain themselves. Rothman explores this new electronic meeting place, as well as the controversy that threatens it ...

(

**3288**views)

**Lectures on the Quantum Hall Effect**

by

**David Tong**-

**University of Cambridge**,

**2016**

These lectures describe the basic theoretical structures underlying the quantum Hall effect. The focus is on the interplay between microscopic wavefunctions, long-distance effective Chern-Simons theories, and the modes which live on the boundary.

(

**3452**views)

**Realism-Completeness-Universality interpretation of quantum mechanics**

by

**Petr Hajicek**-

**arXiv**,

**2015**

The book gives a consequent and mathematical formulation to the interpretation of quantum mechanics that is often met among practical physicists. The book ought to be accessible to students that finished the standard course of quantum mechanics.

(

**2673**views)

**Foundations of Quantum Mechanics: An Introduction to the Physical Background and Mathematical Structure**

by

**Gregory Naber**-

**gregnaber.com**,

**2016**

The goal here is to provide an introduction to the physical and mathematical foundations of quantum mechanics. We will provide rigorous treatments of just a few of the simplest and most fundamental systems with which quantum mechanics deals.

(

**5625**views)

**A Strict Epistemic Approach to Physics**

by

**Per Östborn**-

**arXiv**,

**2016**

Here, we derive the formalism of QM from well-motivated epistemic principles. A key assumption is that in a proper physical theory, the introduction of entities or distinctions that are unknowable in principle is in conflict with the theory.

(

**3264**views)

**Selected Topics in Applications of Quantum Mechanics**

by

**Mohammad Reza Pahlavani (ed.)**-

**InTech**,

**2015**

This book covers some of the applications of quantum mechanics in nuclear physics, medical science, information technology, atomic physics and material science, as well as selected topics of quantum mechanics through different bases and ideas ...

(

**5143**views)

**Quantum Mechanics - Lecture Notes**

by

**Eyal Buks**-

**Technion**,

**2014**

Contents: Hamilton's Formalism of Classical Physics; State Vectors and Operators; The Position and Momentum Observables; Quantum Dynamics; The Harmonic Oscillator; Angular Momentum; Central Potential; Density Operator; Perturbation Theory; etc.

(

**7812**views)

**Introduction to Computational Quantum Mechanics**

by

**Roman Schmied**-

**arXiv**,

**2014**

This document is aimed at advanced students of physics who are familiar with the concepts and notations of quantum mechanics. It tries to bridge the gap between simple analytic calculations and complicated large-scale computations.

(

**3657**views)

**Manifesting the Quantum World**

by

**Ulrich Mohrhoff**-

**arXiv**,

**2014**

In resisting attempts to explain the unity of a whole in terms of a multiplicity of interacting parts, quantum mechanics calls for an explanatory concept that proceeds in the opposite direction: from unity to multiplicity ...

(

**4720**views)

**Circuit QED**

by

**Nathan K. Langford**-

**arXiv**,

**2013**

These notes aim to provide a non-expert introduction to the field of circuit QED, to give a basic appreciation of the promise and challenges of the field, along with a number of key concepts that will be useful for the reader who is new to the field.

(

**4689**views)

**Quantum Models of Classical World**

by

**Petr Hajicek**-

**arXiv**,

**2013**

This paper is a review of our recent work on three problems of non-relativistic quantum mechanics: realist interpretation, quantum theory of classical properties and the problem of quantum measurement. A considerable progress has been achieved...

(

**4270**views)

**Nonequilibrium Relativistic Quantum Many-Body Theory**

by

**Hendrik van Hees**-

**Frankfurt Institute of Advanced Studies**,

**2013**

The following manuscript aims at an introduction to modern methods in relativistic quantum many-body theory. We introduce many-body techniques, using relativistic quantum field theory, emphasizing the so-called real-time formulation.

(

**4618**views)

**Time in Quantum Mechanics**

by

**Curt A. Moyer**-

**arXiv**,

**2013**

The failure of conventional quantum theory to recognize time as an observable and to admit time operators is addressed. We emphasize the role of the Hamiltonian as the generator of translations in time to construct time states.

(

**6263**views)

**Advanced Quantum Mechanics**

by

**Freeman Dyson**-

**arXiv**,

**2006**

Lecture notes by Professor F. J. Dyson for a course in Relativistic Quantum Mechanics given at Cornell University in the Fall of 1951 for the students who had courses in classical mechanics, electrodynamics and non-relativistic quantum theory.

(

**5815**views)

**Advances in Quantum Mechanics**

by

**Paul Bracken**-

**InTech**,

**2013**

The development of quantum mechanics has taken physics in a vastly new direction from that of classical physics from the very start. In fact, there continue at present to be many developments in the subject of a very fundamental nature...

(

**6807**views)

**Quantum Mechanics**

by

**Charles G. Torre**-

**Utah State University**,

**2007**

This text will survey the foundations of quantum mechanics, basic techniques for its application to the real world, and a number of standard examples. It is assumed that you have already had a previous undergraduate course in quantum mechanics.

(

**8059**views)

**Quantum Mechanics Revisited**

by

**Jean Claude Dutailly**-

**arXiv**,

**2013**

From a general study of the relations between models, meaning the set of variables with their mathematical properties, and the measures they represent, a new formalism is developed, which covers the scope of Quantum Mechanics.

(

**5091**views)

**Quantum mechanics of many-particle systems: atoms, molecules - and more**

by

**Roy McWeeny**-

**Learning Development Institute**,

**2012**

Quantum mechanics of many-particle systems. Contents: The problem - and how to deal with it; Some two-electron systems; Electronic structure - the independent particle model; The Hartree-Fock method; Atoms - the building blocks of matter.

(

**6173**views)

**Quantization is a Mystery**

by

**Ivan Todorov**-

**arXiv**,

**2012**

Expository notes which combine a historical survey of the development of quantum physics with a review of selected mathematical topics in quantization theory (addressed to students that are not complete novices in quantum mechanics).

(

**6136**views)

**Understanding Quantum Measurement from the Solution of Dynamical Models**

by

**A.E. Allahverdyan, R. Balian, T.M. Nieuwenhuizen**-

**arXiv**,

**2012**

The quantum measurement problem: why a unique outcome is obtained in each individual experiment, is currently tackled by solving models. After an introduction, we review the models proposed. A flexible and realistic quantum model is introduced...

(

**5739**views)

**Quantum Walks**

by

**Daniel Reitzner, Daniel Nagaj, Vladimir Buzek**-

**arXiv**,

**2012**

This text showcases the many varieties and uses of quantum walks. Discrete time quantum walks are introduced as counterparts of classical random walks. The emphasis is on the connections and differences between the two types of processes ...

(

**5445**views)

**Overview of Bohmian Mechanics**

by

**Xavier Oriols, Jordi Mompart**-

**arXiv**,

**2012**

This chapter provides a comprehensive overview of the Bohmian formulation of quantum mechanics. After a historical review, a formal explanation of Bohmian mechanics for nonrelativistic, single-particle quantum systems is presented.

(

**6253**views)

**Theoretical Concepts of Quantum Mechanics**

by

**Mohammad Reza Pahlavani**-

**InTech**,

**2012**

This book represents a rich account of foundation, scientific history of quantum mechanics, relativistic quantum mechanics and field theory, different methods to solve the Schrodinger equation. An important reference for students and researchers.

(

**10366**views)

**Quantum Notes**

by

**Jed Rembold**-

**New Mexico Tech**,

**2009**

The complete set of graduate Quantum Mechanics notes: Postulates of QM; Simple Problems in 1 Dimension; Wave Packets; Harmonic Oscillator and Second Quantization; Systems with N Degrees of Freedom; Classical Limit and WKB Approximation; Symmetries.

(

**8971**views)

**Perspectives in Quantum Physics: Epistemological, Ontological and Pedagogical**

by

**Charles Baily**-

**arXiv**,

**2011**

The author shows how a transformed modern physics curriculum may positively impact student perspectives on indeterminacy and wave-particle duality, by making questions of classical and quantum reality a central theme of his course.

(

**7591**views)

**Quantum Physics Notes**

by

**J D Cresser**-

**Macquarie University**,

**2009**

With the development of the quantum information interpretation of quantum mechanics, the tendency is to move away from wave mechanics to the more abstract linear algebra version. It is this view of quantum mechanics that is presented in these notes.

(

**9629**views)

**Decoherence: Basic Concepts and Their Interpretation**

by

**H. D. Zeh**-

**arXiv**,

**2002**

Introduction to the theory of decoherence. Contents: Phenomenon of decoherence: superpositions, superselection rules, decoherence by measurements; Observables as a derivable concept; Measurement problem; Density matrix, coarse graining, and events.

(

**7801**views)

**Quantum Transients**

by

**A. del Campo, G. Garcia-Calderon, J. G. Muga**-

**arXiv**,

**2009**

Quantum transients are temporary features of matter waves before they reach a stationary regime. Transients may arise after the preparation of an unstable initial state or due to a sudden interaction or a change in the boundary conditions.

(

**6194**views)

**Introduction to the Time Evolution of Open Quantum Systems**

by

**Angel Rivas, Susana F. Huelga**-

**arXiv**,

**2011**

We revise fundamental concepts in the dynamics of open quantum systems in the light of modern developments in the field. Our aim is to present a unified approach to the quantum evolution of open systems that incorporates the traditional concepts.

(

**7249**views)

**Quantum Dissipative Systems**

by

**F. Guinea, E. Bascones, M.J. Calderon**,

**1998**

An interesting topic of quantum mechanics is the study of open quantum systems. By it, we mean a simple quantum system, described by one or a few degrees of freedom, interacting with a background characterized by a continuum of excitations.

(

**7194**views)

**Consistent Quantum Theory**

by

**Robert B. Griffiths**-

**Cambridge University Press**,

**2003**

This volume elucidates the consistent quantum theory approach to quantum mechanics at a level accessible to university students in physics, chemistry, mathematics, and computer science, making this an ideal supplement to standard textbooks.

(

**9227**views)

**An Introduction to Many Worlds in Quantum Computation**

by

**Clare Hewitt-Horsman**-

**arXiv**,

**2009**

This paper introduces one interpretation of quantum mechanics, a modern 'many-worlds' theory, from the perspective of quantum computation. Reasons for seeking to interpret quantum mechanics are discussed, then the specific theory is introduced.

(

**10783**views)

**Quantum Information Theory**

by

**Robert H. Schumann**-

**arXiv**,

**2000**

A short review of ideas in quantum information theory. Quantum mechanics is presented together with some useful tools for quantum mechanics of open systems. The treatment is pedagogical and suitable for beginning graduates in the field.

(

**11930**views)

**An Introduction to Relativistic Quantum Mechanics**

by

**M. De Sanctis**-

**arXiv**,

**2007**

By using the general concepts of special relativity and the requirements of quantum mechanics, Dirac equation is derived and studied. Only elementary knowledge of spin and rotations in quantum mechanics and standard linear algebra are required.

(

**11974**views)

**The basic paradoxes of statistical classical physics and quantum mechanics**

by

**Oleg Kupervasser**-

**arXiv**,

**2009**

Statistical classical mechanics and quantum mechanics are two developed theories that contain a number of paradoxes. However the given paradoxes can be resolved within the framework of the existing physics, without introduction of new laws.

(

**10788**views)

**Do we really understand quantum mechanics?**

by

**F. Laloe**-

**Zuckschwerdt Publishers**,

**2001**

A discussion of several aspects of our present understanding of quantum mechanics. The emphasis is put on the special correlations that this theory makes possible: they are forbidden by very general arguments based on realism and local causality.

(

**10281**views)

**Quantum Mechanics**

by

**Axel Gross**-

**Universität Ulm**,

**2008**

Contents: Wave Mechanics; Fundamental Concepts of Quantum Mechanics; Quantum Dynamics; Angular Momentum; Approximation Methods; Symmetry in Quantum Mechanics; Theory of chemical bonding; Scattering Theory; Relativistic Quantum Mechanics.

(

**12274**views)

**Quantum Mechanics**

by

**Martin Plenio**-

**Imperial College**,

**2002**

This text introduces quantum mechanics from a more abstract point of view than a first quantum mechanics course. Students will gain a deeper understanding of the structure of quantum mechanics and of some of its key points.

(

**13970**views)

**The Physics of Quantum Mechanics**

by

**James Binney, David Skinner**-

**Capella Archive**,

**2008**

This book aims to give students the best possible understanding of the physical implications of quantum mechanics by explaining how quantum systems evolve in time, and showing the close parallels between quantum and classical dynamics.

(

**11430**views)

**Notes on Quantum Mechanics**

by

**K. Schulten**-

**University of Illinois at Urbana–Champaign**,

**2000**

These notes introduce Quantum Mechanics at an advanced level addressing students of Physics, Mathematics, Chemistry and Electrical Engineering. The aim is to put various mathematical concepts and techniques at the readers disposal.

(

**10703**views)

**Introduction to Quantum Noise, Measurement and Amplification**

by

**A. A. Clerk, at al.**-

**arXiv**,

**2008**

The topic of quantum noise has become extremely timely due to the rise of quantum information physics. This review gives a pedagogical introduction to the physics of quantum noise and its connections to quantum measurement and quantum amplification.

(

**8624**views)

**Lecture Notes in Quantum Mechanics**

by

**Doron Cohen**-

**arXiv**,

**2013**

These lecture notes cover undergraduate textbook topics and also additional advanced topics: EPR and Bell; Basic postulates; The probability matrix; Measurement theory; Entanglement; Quantum computation; Wigner-Weyl formalism; etc.

(

**12119**views)

**Relativistic Quantum Dynamics**

by

**Eugene V. Stefanovich**,

**2008**

A non-traditional perspective on space, time, particles, fields, and action-at-a-distance. This book is an attempt to build a consistent relativistic quantum theory of interacting particles. The developed theory is applied to realistic physical objects.

(

**12924**views)

**Quantum mechanics: An intermediate level course**

by

**Richard Fitzpatrick**-

**Lulu.com**,

**2008**

Lecture notes for an upper-division quantum mechanics course: fundamental concepts, one-dimensional potentials, central potentials, angular momentum, the hydrogen atom, time-independent perturbation theory, time-dependent perturbation theory, etc.

(

**12644**views)

**Quantum Mechanics**

by

**Richard Fitzpatrick**-

**The University of Texas at Austin**,

**2008**

Quantum Mechanics by Richard Fitzpatrick is a complete set of lecture notes for a graduate quantum mechanics course. Topics covered include the fundamentals of quantum mechanics, angular momentum, approximation methods, and scattering theory.

(

**13365**views)

**Introduction to Quantum Mechanics with Applications to Chemistry**

by

**Linus Pauling, E. Bright Wilson**-

**McGraw-Hill Education**,

**1935**

This undergraduate-level text applies quantum mechanics to some chemical and physical problems, covering wave functions for the hydrogen atom, perturbation theory, the Pauli exclusion principle, and the structure of simple and complex molecules.

(

**16185**views)

**Quantum Fluctuations**

by

**Edward Nelson**-

**Princeton University Press**,

**1985**

This book deals with the kinematics of diffusion processes. The dynamical equations are derived from a variational principle, and interference, the asymptotics of free motion, bound states, statistics, and spin are described in classical terms.

(

**11548**views)