Verwandte Artikel zu Lagrangian Analysis and Quantum Mechanics: A Mathematical...
Lagrangian Analysis and Quantum Mechanics: A Mathematical Structure Related to Asymptotic Expansions and the Maslov Index - Hardcover
Inhaltsangabe
This work might have been entitled The Introduction of Planck's Constant into Mathematics, in that it introduces quantum conditions in a purely mathematical way in order to remove the singularities that arise in obtaining approximations to solutions of complex differential equations.
The book's first chapter develops the necessary mathematical apparatus: Fourier transforms, metaplectic and symplectic groups, the Maslov index, and lagrangian varieties. The second chapter orders Maslov's conceptions in a manner that avoids contraditions and creates step by step an essentially new structure-the lagrangian ayalysis.
Unexpectedly and strangely the last step requires the datum of a constant, which in applications to quantum mechanics is identified with Planck's constant. The final two chapters apply lagrangian analysis directly to the Schrodinger, the Klein-Gordon, and the Dirac equations. Magnetic field effects and even the Paschen-Back effect are taken into account.
Jean Leray-who has been professor at the College de France for the past thirty years-has made fundamental contributions to theoretical hydrodynamics, to the study of elliptic, hyperbolic, and analytic linear and nonlinear equations, and to algebraic topology and its applications to analysis. His motivations always had their origin in physical problems, except during World War II: As a prisoner of war in Germany for five years, he concealed his interest in mathematical applications by making fruitful investigations in the field of pure algebraic topology.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Críticas
"This is a work of classic importance by one of the greatest and most widely acclaimed mathematicians of the era."- Irving E. Segal, MIT
Reseña del editor
This work might have been entitled "The Introduction of Planck's Constant into Mathematics, "in that it introduces quantum conditions in a purely mathematical way in order to remove the singularities that arise in obtaining approximations to solutions of complex differential equations.The book's first chapter develops the necessary mathematical apparatus: Fourier transforms, metaplectic and symplectic groups, the Maslov index, and lagrangian varieties. The second chapter orders Maslov's conceptions in a manner that avoids contraditions and creates step by step an essentially new structure-the lagrangian ayalysis.Unexpectedly and strangely the last step requires the datum of a constant, which in applications to quantum mechanics is identified with Planck's constant. The final two chapters apply lagrangian analysis directly to the Schrodinger, the Klein-Gordon, and the Dirac equations. Magnetic field effects and even the Paschen-Back effect are taken into account.Jean Leray-who has been professor at the College de France for the past thirty years-has made fundamental contributions to theoretical hydrodynamics, to the study of elliptic, hyperbolic, and analytic linear and nonlinear equations, and to algebraic topology and its applications to analysis. His motivations always had their origin in physical problems, except during World War II: As a prisoner of war in Germany for five years, he concealed his interest in mathematical applications by making fruitful investigations in the field of pure algebraic topology.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
Suchergebnisse für Lagrangian Analysis and Quantum Mechanics: A Mathematical...
Beispielbild für diese ISBN
Lagrangian Analysis and Quantum Mechanics
Anbieter: BooksRun, Philadelphia, PA, USA
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Zustand: Fair. Ship within 24hrs. Satisfaction 100% guaranteed. APO/FPO addresses supported. Bestandsnummer des Verkäufers 0262120879-7-1
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Lagrangian Analysis and Quantum Mechanics. A Mathematical Structure Related to Asymptotic Expansions and the Maslov Index
Anbieter: Zubal-Books, Since 1961, Cleveland, OH, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: Fine. First edition, first printing, 288 pp., hardcover, fine in a lightly chipped and worn dust jacket. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Bestandsnummer des Verkäufers ZB1317861
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Lagrangian Analysis & Quantum Mechanics: A Mathematical Structure Related to Asymp
Anbieter: Anybook.com, Lincoln, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,700grams, ISBN:0262120879. Bestandsnummer des Verkäufers 5832926
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Lagrangian Analysis and Quantum Mechanics
Anbieter: Grey Matter Books, Hadley, MA, USA
Verkäuferbewertung 4 von 5 Sternen
Hardcover. Zustand: Very Good. Zustand des Schutzumschlags: Very Good. Text is unmarked; pages are bright, though the top edge of the pages is lightly age toned. Binding is sturdy. Dust jacket is edge worn and the dust jacket spine is a bit faded. Bestandsnummer des Verkäufers 071313
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Lagrangian Analysis and Quantum Mechanics: A Mathematical Structure Related to Asymptotic Expansions and the Maslov Index
Anbieter: Powell's Bookstores Chicago, ABAA, Chicago, IL, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: Used - Very Good. 1982. Hardcover. Cloth, dj. Some rubbing to dj.; two small closed tears at bottom edge of dj. Very Good. Bestandsnummer des Verkäufers S70958
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Lagrangian Analysis and Quantum Mechanics: A Mathematical Structure Related to Asymptotic Expansions and the Maslov Index
Anbieter: dsmbooks, Liverpool, Vereinigtes Königreich
Verkäuferbewertung 4 von 5 Sternen
Hardcover. Zustand: Acceptable. Acceptable. book. Bestandsnummer des Verkäufers D8S0-3-M-0262120879-4
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Lagrangian Analysis and Quantum Mechanics: A Mathematical Structure Related to Asymptotic Expansions and the Maslov Index
Anbieter: BookDepart, Shepherdstown, WV, USA
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Zustand: UsedGood. Hardcover; fading and shelf wear to exterior; otherwise in good condition with clean text, tight binding. Bestandsnummer des Verkäufers 28000
Anzahl: 1 verfügbar
Foto des Verkäufers
Lagrangian Analysis and Quantum Mechanics: a Mathematical Structure Related to Asymptotic Expansions and the Maslov Index;
Verlag:
The Mit Press, Cambridge, 1981
ISBN 10: 0262120879
ISBN 13: 9780262120876
Gebraucht
Hardcover
Erstausgabe
Anbieter: Arroyo Seco Books, Pasadena, Member IOBA, Pasadena, CA, USA
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Zustand: Fine. Zustand des Schutzumschlags: Very Good + DJ. 1st Edition. Xvii, 271 Pp. Blue Cloth. First Printing. Quantum Mechanics From A Purely Mathematical View. Book Is Near Fine, Immaculate, Just A Touch Of Rubbing At Points Right At Corners. Dj Lightly Used, With Rubbing At Corners. No Names, No Marks, No Stains. Bestandsnummer des Verkäufers 032325
Anzahl: 1 verfügbar