Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Quantum mechanics. Quantenmechanik

L.D. LANDAU, E. Lifschitz

Published Jan 1, 1988• 0 citations
OpenAlex

Abstract

The textbook presents the physical theory of quantum mechanics. Contents: principles of quantum mechanics, energy and impulse, the Schroedinger equation, the angular momentum, movement in a radial symmetric field, perturbation theory, the quasi-classic case, the spin, identical particles, the atom, the two-atomic molecule, the theory of symmetry, multi-atomic molecules, the addition of angular momenta, movement in the magnetic field, structure of the nucleus, elastic collisions, inelastic collisions, and mathematical supplements. A subject index is included.

Related papers

An Introduction to Quantum Theory

F. S. Levin

Underpinning the axiomatic formulation of quantum theory presented in this undergraduate textbook is a review of early experiments, a comparison of classical and quantal terminology, a Schroedinger-equation treatment of the one-dimensional quantum box, and a survey of relevant mathematics. Among the many concepts comprehensively discussed are: operators; state vectors and wave functions; experimental observables; classical/quantal connections; and symmetry properties. The theory is applied to a wide variety of systems including the non-relativistic H-atom, external electromagnetic fields, and spin1/2. Collisions are described using wave packets. Various time-dependent and time-independent approximations are discussed; applications include electromagnetic transition rates and corrections to the H-atom energies. The final chapter deals with identical-particle symmetries and their application to the He atom, the Periodic Table and diatomic molecules. There are also brief treatments of advanced subjects such as gauge invariance and hidden variables.

Cambridge University Press eBooks•Dec 3, 2001•48 citations

A Textbook on Modern Quantum Mechanics

Ankit Sharma

Over the course of the past two to three decades, new tools of presentation and mathematical treatment have emerged and the subject matter of quantum mechanics has gone through significant changes. A Textbook on Modern Quantum Mechanics presents the selected elementary, intermediate, and advance topics with rejuvenated approach to the subject matter. Newly merged topics from contemporary physics and chemistry are included in the text as well as solved examples. The book covers: (i) fundamental discoveries that are the foundation of modern quantum mechanics; (ii) solution of Schrödinger’s wave equation for 1D problems and their importance; (iii) matrix and vector formulation of quantum mechanics; (iv) transformations, symmetries, and conservation laws; (v) angular and spin momenta; (vi) solution of Schrödinger equation for central potentials; (vii) time-independent perturbation theory, variational method and WKB approximation; (viii) quantum theory of scattering; (xi) many-particle systems and their quantum mechanical treatments; (x) time-dependent perturbations and the interaction of fields with matter; (xi) relativistic quantum mechanics; and (xii) quantization of fields and the second quantization. Key Features: It provides everything a student needs to know for succeeding at all levels of the undergraduate and graduate studies. It covers most of the topics that are taught under (a) elementary, (b) intermediate, and (c) advance courses of quantum mechanics at universities and colleges. It has detailed and elegant mathematical treatment with contemporary style of interpretation and presentation in simple English. Solved examples and unsolved exercises that are part of each chapter to consolidate the readers' understanding of fundamental concepts. The subject matter of the book is well tested on the students taught by the author over a period of 30 years. This is a valuable textbook for students pursuing Bachelor of Science, Master of Science, and Doctor of Philosophy (PhD) degrees in the subjects of Physics, Chemistry, and materials science in India, South Asian countries, the United States, and Europe.

CRC Press eBooks•Jun 18, 2021•4 citations

Quantum mechanics : Schaum's outlines

Yoav Peleg

Introduction. Mathematical Background. Schrodinger Equation and Applications. Foundations of Quantum Mechanics. Harmonic Oscillator. Angular Momentum. Spin. Hydrogen-Like Atoms. Particle Motion in an Electromagnetic Field. Solution Methods in Quantum Mechanics. Part A: Solutions Methods in Quantum Mechanics. Part B: Numerical Methods in Quantum Mechanics. Identical Particles. Addition of Angular Momenta. Scattering Theory. Semiclassical Treatment of Radiation.

McGraw-Hill eBooks•Jan 1, 2010•1 citation

Schaum's outline of theory and problems of quantum mechanics

Yoav Peleg, Reuven Pnini, Elyahu Zaarur

Introduction.Mathematical Background.Schrodinger Equation and Applications.Foundations of Quantum Mechanics.Harmonic Oscillator.Angular Momentum.Spin.Hydrogen-Like Atoms.Particle Motion in an Electromagnetic Field.Solution Methods in Quantum Mechanics.Part A: Solutions Methods in Quantum Mechanics.Part B: Numerical Methods in Quantum Mechanics.Identical Particles.Addition of Angular Momenta.Scattering Theory.Semiclassical Treatment of Radiation.

McGraw-Hill eBooks•Jan 1, 1998•15 citations

Principles of Quantum Mechanics

Donald D. Fitts

This text presents a rigorous mathematical account of the principles of quantum mechanics, in particular as applied to chemistry and chemical physics. Applications are used as illustrations of the basic theory. The first two chapters serve as an introduction to quantum theory, although it is assumed that the reader has been exposed to elementary quantum mechanics as part of an undergraduate physical chemistry or atomic physics course. Following a discussion of wave motion leading to Schrödinger's wave mechanics, the postulates of quantum mechanics are presented along with essential mathematical concepts and techniques. The postulates are rigorously applied to the harmonic oscillator, angular momentum, the hydrogen atom, the variation method, perturbation theory, and nuclear motion. Modern theoretical concepts such as hermitian operators, Hilbert space, Dirac notation, and ladder operators are introduced and used throughout. This text is appropriate for beginning graduate students in chemistry, chemical physics, molecular physics and materials science.

Cambridge University Press eBooks•Aug 26, 1999•230 citations

Elementary Quantum Mechanics

Ronald W. Gurney

Preface 1. Energy diagrams 2. The new language of physics and chemistry 3. The wave equation - the hydrogen atom - magnetic moment and electron spin - simple problems 4. The uncertainty principle - systems containing many particles - electron configurations and the periodic table - metals 5. The movement of particles 6. Two interacting particles - diatomic molecules 7. Independent observable quantities - homonuclear molecules - valence bonds 8. Electrons in crystals - insulators and conductors 9. Perturbation theory - the description of physical events 10. The same continued Mathematical appendix Table of electron configurations and first ionisation potentials Subject index Name index.

•Nov 1, 2015•2 citations
The textbook presents the physical theory of quantum mechanics. Contents: principles of quantum mechanics, energy and impulse, the Schroedinger equation, the angular momentum, movement in a radial symmetric field, perturbation theory, the quasi-classic case, the spin, identical particles, the atom, the two-atomic molecule, the theory of symmetry, multi-atomic molecules, the addition of angular momenta, movement in the magnetic field, structure of the nucleus, elastic collisions, inelastic collisions, and mathematical supplements. A subject index is included.
Underpinning the axiomatic formulation of quantum theory presented in this undergraduate textbook is a review of early experiments, a comparison of classical and quantal terminology, a Schroedinger-equation treatment of the one-dimensional quantum box, and a survey of relevant mathematics. Among the many concepts comprehensively discussed are: operators; state vectors and wave functions; experimental observables; classical/quantal connections; and symmetry properties. The theory is applied to a wide variety of systems including the non-relativistic H-atom, external electromagnetic fields, and spin1/2. Collisions are described using wave packets. Various time-dependent and time-independent approximations are discussed; applications include electromagnetic transition rates and corrections to the H-atom energies. The final chapter deals with identical-particle symmetries and their application to the He atom, the Periodic Table and diatomic molecules. There are also brief treatments of advanced subjects such as gauge invariance and hidden variables.
Over the course of the past two to three decades, new tools of presentation and mathematical treatment have emerged and the subject matter of quantum mechanics has gone through significant changes. A Textbook on Modern Quantum Mechanics presents the selected elementary, intermediate, and advance topics with rejuvenated approach to the subject matter. Newly merged topics from contemporary physics and chemistry are included in the text as well as solved examples. The book covers: (i) fundamental discoveries that are the foundation of modern quantum mechanics; (ii) solution of Schrödinger’s wave equation for 1D problems and their importance; (iii) matrix and vector formulation of quantum mechanics; (iv) transformations, symmetries, and conservation laws; (v) angular and spin momenta; (vi) solution of Schrödinger equation for central potentials; (vii) time-independent perturbation theory, variational method and WKB approximation; (viii) quantum theory of scattering; (xi) many-particle systems and their quantum mechanical treatments; (x) time-dependent perturbations and the interaction of fields with matter; (xi) relativistic quantum mechanics; and (xii) quantization of fields and the second quantization. Key Features: It provides everything a student needs to know for succeeding at all levels of the undergraduate and graduate studies. It covers most of the topics that are taught under (a) elementary, (b) intermediate, and (c) advance courses of quantum mechanics at universities and colleges. It has detailed and elegant mathematical treatment with contemporary style of interpretation and presentation in simple English. Solved examples and unsolved exercises that are part of each chapter to consolidate the readers' understanding of fundamental concepts. The subject matter of the book is well tested on the students taught by the author over a period of 30 years. This is a valuable textbook for students pursuing Bachelor of Science, Master of Science, and Doctor of Philosophy (PhD) degrees in the subjects of Physics, Chemistry, and materials science in India, South Asian countries, the United States, and Europe.
This text presents a rigorous mathematical account of the principles of quantum mechanics, in particular as applied to chemistry and chemical physics. Applications are used as illustrations of the basic theory. The first two chapters serve as an introduction to quantum theory, although it is assumed that the reader has been exposed to elementary quantum mechanics as part of an undergraduate physical chemistry or atomic physics course. Following a discussion of wave motion leading to Schrödinger's wave mechanics, the postulates of quantum mechanics are presented along with essential mathematical concepts and techniques. The postulates are rigorously applied to the harmonic oscillator, angular momentum, the hydrogen atom, the variation method, perturbation theory, and nuclear motion. Modern theoretical concepts such as hermitian operators, Hilbert space, Dirac notation, and ladder operators are introduced and used throughout. This text is appropriate for beginning graduate students in chemistry, chemical physics, molecular physics and materials science.
Preface 1. Energy diagrams 2. The new language of physics and chemistry 3. The wave equation - the hydrogen atom - magnetic moment and electron spin - simple problems 4. The uncertainty principle - systems containing many particles - electron configurations and the periodic table - metals 5. The movement of particles 6. Two interacting particles - diatomic molecules 7. Independent observable quantities - homonuclear molecules - valence bonds 8. Electrons in crystals - insulators and conductors 9. Perturbation theory - the description of physical events 10. The same continued Mathematical appendix Table of electron configurations and first ionisation potentials Subject index Name index.