Lectures On Quantum Mechanics (Second Edition) - Volume 2: Simple Systems

Lectures On Quantum Mechanics (Second Edition) - Volume 2: Simple Systems
Author: Berthold-georg Englert
Publisher: World Scientific
Total Pages: 222
Release: 2024-01-22
Genre: Science
ISBN: 9811284776

Note: *The three volumes are not sequential but rather independent of each other and largely self-contained.The reader of Simple Systems is not expected to be familiar with the material in Basic Matters, but should have the minimal knowledge of a standard brief introduction to quantum mechanics with its typical emphasis on one-dimensional position wave functions. The step to Dirac's more abstract and much more powerful formalism is taken immediately, followed by reviews of quantum kinematics and quantum dynamics. The important standard examples (force-free motion, constant force, harmonic oscillator, hydrogen-like atoms) are then treated in considerable detail, whereby a nonstandard perspective is offered wherever it is deemed feasible and useful. A final chapter is devoted to approximation methods, from the Hellmann-Feynman theorem to the WKB quantization rule.

Lectures On Quantum Mechanics (Second Edition) - Volume 3: Perturbed Evolution

Lectures On Quantum Mechanics (Second Edition) - Volume 3: Perturbed Evolution
Author: Berthold-georg Englert
Publisher: World Scientific
Total Pages: 222
Release: 2024-01-22
Genre: Science
ISBN: 9811284806

Note: *The three volumes are not sequential but rather independent of each other and largely self-contained.Perturbed Evolution has a closer link to Simple Systems than it has to Basic Matters, but any reader familiar with the subject matter of a solid introduction to quantum mechanics — such as Dirac's formalism of kets and bras, Schrödinger's and Heisenberg's equations of motion, and the standard examples that can be treated exactly, with harmonic oscillators and hydrogen-like atoms among them — can cope with the somewhat advanced material of this volume. The basics of kinematics and dynamics are reviewed at the outset, including discussions of Bohr's principle of complementarity and Schwinger's quantum action principle. The Born series, the Lippmann-Schwinger equation, and Fermi's golden rule are recurring themes in the treatment of the central subject matter — the evolution in the presence of perturbing interactions for which there are no exact solutions as one has them for the standard examples in Simple Systems. The scattering by a localized potential is regarded as a perturbed evolution of a particular kind and is dealt with accordingly. The unique features of the scattering of indistinguishable quantum objects illustrate the nonclassical properties of bosons and fermions and prepare the groundwork for a discussion of multi-electron atoms.

Time in Quantum Mechanics

Time in Quantum Mechanics
Author: Gonzalo Muga
Publisher: Springer
Total Pages: 461
Release: 2007-11-30
Genre: Science
ISBN: 3540734732

The treatment of time in quantum mechanics is still an important and challenging open question in the foundation of the quantum theory. This multi-authored book, written as an introductory guide for newcomers to the subject, as well as a useful source of information for the expert, covers many of the open questions. The book describes the problems, and the attempts and achievements in defining, formalizing and measuring different time quantities in quantum theory.

Basic matters

Basic matters
Author: Berthold-Georg Englert
Publisher: World Scientific
Total Pages: 234
Release: 2006
Genre: Science
ISBN: 9812569707

Note: ?The three volumes are not sequential but rather independent of each other and largely self-contained.Basic Matters is a first introduction to quantum mechanics that does not assume any prior knowledge of the subject. The emphasis is on the general structure as the necessary foundation of any understanding. Starting from the simplest quantum phenomenon, the Stern-Gerlach experiment with its choice between two discrete outcomes, and ending with one-dimensional continuous systems, the physical concepts and notions as well as the mathematical formalism of quantum mechanics are developed in successive, manageable steps. The presentation is modern inasmuch as the natural language of the trade -- Dirac's kets and bras and so on -- is introduced early, and the temporal evolution is dealt with in a picture-free manner, with SchrOdinger's and Heisenberg's equations of motion side by side and on equal footing.The reader of Simple Systems is not expected to be familiar with the material in Basic Matters, but should have the minimal knowledge of a standard brief introduction to quantum mechanics with its typical emphasis on one-dimensional position wave functions. The step to Dirac's more abstract and much more powerful formalism is taken immediately, followed by reviews of quantum kinematics and quantum dynamics. The important standard examples (force-free motion, constant force, harmonic oscillator, hydrogen-like atoms) are then treated in considerable detail, whereby a nonstandard perspective is offered wherever it is deemed feasible and useful. A final chapter is devoted to approximation methods, from the Hellmann-Feynman theorem to the WKB quantization rule.Perturbed Evolution has a closer link to Simple Systems than that volume has to Basic Matters, but any reader familiar with the subject matter of a solid introduction to quantum mechanics -- such as Dirac's formalism of kets and bras, SchrOdinger's and Heisenberg's equations of motion, and the standard examples that can be treated exactly, with harmonic oscillators and hydrogen-like atoms among them -- can cope with the somewhat advanced material of this volume. The basics of kinematics and dynamics are reviewed at the outset, including discussions of Bohr's principle of complementarity and Schwinger's quantum action principle. The Born series, the Lippmann-Schwinger equation, and Fermi's golden rule are recurring themes in the treatment of the central subject matter -- the evolution in the presence of perturbing interactions for which there are no exact solutions as one has them for the standard examples in Simple Systems. The scattering by a localized potential is regarded as a perturbed evolution of a particular kind and is dealt with accordingly. The unique features of the scattering of indistinguishable quantum objects illustrate the nonclassical properties of bosons and fermions and prepare the groundwork for a discussion of multi-electron atoms.

Lectures On Quantum Mechanics (Second Edition) - Volume 1: Basic Matters

Lectures On Quantum Mechanics (Second Edition) - Volume 1: Basic Matters
Author: Berthold-georg Englert
Publisher: World Scientific
Total Pages: 252
Release: 2024-01-22
Genre: Science
ISBN: 9811284741

Note: *The three volumes are not sequential but rather independent of each other and largely self-contained.Basic Matters is a first introduction to quantum mechanics that does not assume any prior knowledge of the subject. The emphasis is on the general structure as the necessary foundation of any understanding. Starting from the simplest quantum phenomenon, the Stern-Gerlach experiment with its choice between two discrete outcomes, and ending with one-dimensional continuous systems, the physical concepts and notions as well as the mathematical formalism of quantum mechanics are developed in successive, manageable steps. The presentation is modern inasmuch as the natural language of the trade — Dirac's kets and bras and so on — is introduced early, and the temporal evolution is dealt with in a picture-free manner, with Schrödinger's and Heisenberg's equations of motion side by side and on equal footing.

Lectures on Quantum Mechanics

Lectures on Quantum Mechanics
Author: Paul A. M. Dirac
Publisher: Courier Corporation
Total Pages: 100
Release: 2013-05-27
Genre: Science
ISBN: 0486320286

Four concise, brilliant lectures on mathematical methods in quantum mechanics from Nobel Prize–winning quantum pioneer build on idea of visualizing quantum theory through the use of classical mechanics.

Lectures on Quantum Mechanics

Lectures on Quantum Mechanics
Author: Steven Weinberg
Publisher: Cambridge University Press
Total Pages: 379
Release: 2013
Genre: Science
ISBN: 1107028728

"Ideally suited to a one-year graduate course, this textbook is also a useful reference for researchers. Readers are introduced to the subject through a review of the history of quantum mechanics and an account of classic solutions of the Schr.

Lectures On Quantum Mechanics - Volume 2: Simple Systems

Lectures On Quantum Mechanics - Volume 2: Simple Systems
Author: Berthold-georg Englert
Publisher: World Scientific Publishing Company
Total Pages: 213
Release: 2006-05-18
Genre: Science
ISBN: 9814365513

Note: The three volumes are not sequential but rather independent of each other and largely self-contained.The reader of Simple Systems is not expected to be familiar with the material in Basic Matters, but should have the minimal knowledge of a standard brief introduction to quantum mechanics with its typical emphasis on one-dimensional position wave functions. The step to Dirac's more abstract and much more powerful formalism is taken immediately, followed by reviews of quantum kinematics and quantum dynamics. The important standard examples (force-free motion, constant force, harmonic oscillator, hydrogen-like atoms) are then treated in considerable detail, whereby a nonstandard perspective is offered wherever it is deemed feasible and useful. A final chapter is devoted to approximation methods, from the Hellmann-Feynman theorem to the WKB quantization rule.

Quantum Mechanics

Quantum Mechanics
Author: Leonard Susskind
Publisher: Basic Books (AZ)
Total Pages: 386
Release: 2014-02-25
Genre: Science
ISBN: 0465036678

From the bestselling author of The Theoretical Minimum, a DIY introduction to the math and science of quantum physics First he taught you classical mechanics. Now, physicist Leonard Susskind has teamed up with data engineer Art Friedman to present the theory and associated mathematics of the strange world of quantum mechanics. In this follow-up to The Theoretical Minimum, Susskind and Friedman provide a lively introduction to this famously difficult field, which attempts to understand the behavior of sub-atomic objects through mathematical abstractions. Unlike other popularizations that shy away from quantum mechanics’ weirdness, Quantum Mechanics embraces the utter strangeness of quantum logic. The authors offer crystal-clear explanations of the principles of quantum states, uncertainty and time dependence, entanglement, and particle and wave states, among other topics, and each chapter includes exercises to ensure mastery of each area. Like The Theoretical Minimum, this volume runs parallel to Susskind’s eponymous Stanford University-hosted continuing education course. An approachable yet rigorous introduction to a famously difficult topic, Quantum Mechanics provides a tool kit for amateur scientists to learn physics at their own pace.

Introduction to Quantum Mechanics

Introduction to Quantum Mechanics
Author: David J. Griffiths
Publisher: Cambridge University Press
Total Pages: 481
Release: 2017
Genre: Science
ISBN: 1107179866

This bestselling textbook teaches students how to do quantum mechanics and provides an insightful discussion of what it actually means.