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

Physics Bulletin

Techniques of Applied Quantum Mechanics

John Ewan Inglesfield

Published Jun 1, 1976• 20 citations
Publisher

Abstract

J P Killingbeck London: Butterworths 1975 pp 224 price £9 The title of this book is somewhat misleading (as the author himself admits) because half the book is about the mathematical background to Hilbert spaces and all that – interesting, but I doubt if many readers will be tempted to venture any deeper into Hilbert space. The rest of the book, about perturbation methods and group theory is useful, and has destroyed some of my misconceptions about the convergence of perturbation series.

DOI
10.1088/0031-9112/27/6/040

Related papers

Quantum Mechanics in Hilbert Space

Alan Cottey

Eduard Prugovecki London: Academic Press 1971 pp xv + 648 price £13·75 The first half of this book is devoted to the theory of Hilbert space and linear operators in Hilbert space, with a little reference to quantum mechanics. The second half deals in detail with two topics in quantum mechanics, namely the axiomatic structure of quantum mechanics, and scattering theory.

Physics Bulletin•Mar 1, 1972•77 citations

Problems in Quantum Mechanics

Lewis Elton

By I. I. Goldman, V. D. Krivchenkov, V. I. Kogan and V. M. Galitskii. Translated, edited and arranged by D. ter Haar. London : Cleaver-Hume Press Ltd. Pp. 394. Price 42s. It has always been accepted that one cannot learn mathematics without solving a large number of problems, and the same is true of mathematical physics. Unfortunately the problems in many books on quantum mechanics are either purely mathematical or else present extensions of the subject matter of the book, which space has prevented from incorporation in the text.

Physics Bulletin•May 1, 1961•94 citations

Hilbert Space and Quantum Mechanics

Franco Gallone

The topics of this book are the mathematical foundations of non-relativistic quantum mechanics and the mathematical theory they require. The main characteristic of the book is that the mathematics is developed assuming familiarity with elementary analysis only. Moreover, all the proofs are carried out in detail. These features make the book easily accessible to readers with only the mathematical training offered by undergraduate education in mathematics or in physics, and also ideal for individual study. The principles of quantum mechanics are discussed with complete mathematical accuracy and an effort is made to always trace them back to the experimental reality that lies at their root. The treatment of quantum mechanics is axiomatic, with definitions followed by propositions proved in a mathematical fashion. No previous knowledge of quantum mechanics is required. This book is designed so that parts of it can be easily used for various courses in mathematics and mathematical physics, as suggested in the Preface. The book is of interest to researchers and graduate students in functional analysis, who can see how closely an important part of their chosen field is linked with quantum mechanics, and also to physicists, who can see how the abstract language of functional analysis brings unity to the apparently distinct approaches employed in quantum theory.

WORLD SCIENTIFIC eBooks•Oct 30, 2014•5 citations

Hilbert Space

Andrew J. Larkoski

This original and innovative textbook takes the unique perspective of introducing and solving problems in quantum mechanics using linear algebra methods, to equip readers with a deeper and more practical understanding of this fundamental pillar of contemporary physics. Extensive motivation for the properties of quantum mechanics, Hilbert space, and the Schrödinger equation is provided through analysis of the derivative, while standard topics like the harmonic oscillator, rotations, and the hydrogen atom are covered from within the context of operator methods. Advanced topics forming the basis of modern physics research are also included, such as the density matrix, entropy, and measures of entanglement. Written for an undergraduate audience, this book offers a unique and mathematically self-contained treatment of this hugely important topic. Students are guided gently through the text by the author's engaging writing style, with an extensive glossary provided for reference and numerous homework problems to expand and develop key concepts. Online resources for instructors include a fully worked solutions manual and lecture slides.

Cambridge University Press eBooks•Dec 15, 2022•0 citations

Electrons in Atoms

Lewis Elton

By G. F. Lothian London: Butterworth and Co. Ltd . Pp. x + 196. Price 35s. 1963. There are already several books on the market which 'lead the university student to an understanding, fairly early in his course, of the way in which quantum theory answers the questions posed by experimental observations'. This, however, is not one of them, for although it covers an enormous amount of ground it is not likely to lead to real understanding.

Physics Bulletin•Sep 1, 1963•0 citations

Approximation Techniques

Andrew J. Larkoski

This original and innovative textbook takes the unique perspective of introducing and solving problems in quantum mechanics using linear algebra methods, to equip readers with a deeper and more practical understanding of this fundamental pillar of contemporary physics. Extensive motivation for the properties of quantum mechanics, Hilbert space, and the Schrödinger equation is provided through analysis of the derivative, while standard topics like the harmonic oscillator, rotations, and the hydrogen atom are covered from within the context of operator methods. Advanced topics forming the basis of modern physics research are also included, such as the density matrix, entropy, and measures of entanglement. Written for an undergraduate audience, this book offers a unique and mathematically self-contained treatment of this hugely important topic. Students are guided gently through the text by the author's engaging writing style, with an extensive glossary provided for reference and numerous homework problems to expand and develop key concepts. Online resources for instructors include a fully worked solutions manual and lecture slides.

Cambridge University Press eBooks•Dec 15, 2022•0 citations
J P Killingbeck London: Butterworths 1975 pp 224 price £9 The title of this book is somewhat misleading (as the author himself admits) because half the book is about the mathematical background to Hilbert spaces and all that – interesting, but I doubt if many readers will be tempted to venture any deeper into Hilbert space. The rest of the book, about perturbation methods and group theory is useful, and has destroyed some of my misconceptions about the convergence of perturbation series.
By I. I. Goldman, V. D. Krivchenkov, V. I. Kogan and V. M. Galitskii. Translated, edited and arranged by D. ter Haar. London : Cleaver-Hume Press Ltd. Pp. 394. Price 42s. It has always been accepted that one cannot learn mathematics without solving a large number of problems, and the same is true of mathematical physics. Unfortunately the problems in many books on quantum mechanics are either purely mathematical or else present extensions of the subject matter of the book, which space has prevented from incorporation in the text.
The topics of this book are the mathematical foundations of non-relativistic quantum mechanics and the mathematical theory they require. The main characteristic of the book is that the mathematics is developed assuming familiarity with elementary analysis only. Moreover, all the proofs are carried out in detail. These features make the book easily accessible to readers with only the mathematical training offered by undergraduate education in mathematics or in physics, and also ideal for individual study. The principles of quantum mechanics are discussed with complete mathematical accuracy and an effort is made to always trace them back to the experimental reality that lies at their root. The treatment of quantum mechanics is axiomatic, with definitions followed by propositions proved in a mathematical fashion. No previous knowledge of quantum mechanics is required. This book is designed so that parts of it can be easily used for various courses in mathematics and mathematical physics, as suggested in the Preface. The book is of interest to researchers and graduate students in functional analysis, who can see how closely an important part of their chosen field is linked with quantum mechanics, and also to physicists, who can see how the abstract language of functional analysis brings unity to the apparently distinct approaches employed in quantum theory.
This original and innovative textbook takes the unique perspective of introducing and solving problems in quantum mechanics using linear algebra methods, to equip readers with a deeper and more practical understanding of this fundamental pillar of contemporary physics. Extensive motivation for the properties of quantum mechanics, Hilbert space, and the Schrödinger equation is provided through analysis of the derivative, while standard topics like the harmonic oscillator, rotations, and the hydrogen atom are covered from within the context of operator methods. Advanced topics forming the basis of modern physics research are also included, such as the density matrix, entropy, and measures of entanglement. Written for an undergraduate audience, this book offers a unique and mathematically self-contained treatment of this hugely important topic. Students are guided gently through the text by the author's engaging writing style, with an extensive glossary provided for reference and numerous homework problems to expand and develop key concepts. Online resources for instructors include a fully worked solutions manual and lecture slides.
This original and innovative textbook takes the unique perspective of introducing and solving problems in quantum mechanics using linear algebra methods, to equip readers with a deeper and more practical understanding of this fundamental pillar of contemporary physics. Extensive motivation for the properties of quantum mechanics, Hilbert space, and the Schrödinger equation is provided through analysis of the derivative, while standard topics like the harmonic oscillator, rotations, and the hydrogen atom are covered from within the context of operator methods. Advanced topics forming the basis of modern physics research are also included, such as the density matrix, entropy, and measures of entanglement. Written for an undergraduate audience, this book offers a unique and mathematically self-contained treatment of this hugely important topic. Students are guided gently through the text by the author's engaging writing style, with an extensive glossary provided for reference and numerous homework problems to expand and develop key concepts. Online resources for instructors include a fully worked solutions manual and lecture slides.