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Operator Calculus
Edification and Utilization
Taschenbuch von Do Tan Si Xx
Sprache: Englisch

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Beschreibung
The operational calculus had the merit of introducing the notion of derivative operator but didn't help so much mathematics. Later, quantum mechanics introduced the position operator q linked to the derivative operator by a commutation relation. But q is not well adopted by mathematical analysis. This work proposes to reedify the operational calculus based on both derivative, position operators and a rule for the permutation of non commutative operators. Applcations for resolutions of differential equations , for obtaining operators that create by acting on monomials the polynomials most utilized in sciences and engineering. Their generating finctions, orthogonality and properties are then obtained in a coherent and very close way. This work shows also how, only from translation and Gaussian transform, to obtain the dilatation, the transform of x into real powers of x, the partial Fourier, Fourier, canonical transforms and how to get by them the transforms of arbitrary operators and functions, the related integral transform. The Laplace transform is also treated by the present method. Via the creation and the destruction operators applications in quantum mechanics are promising
The operational calculus had the merit of introducing the notion of derivative operator but didn't help so much mathematics. Later, quantum mechanics introduced the position operator q linked to the derivative operator by a commutation relation. But q is not well adopted by mathematical analysis. This work proposes to reedify the operational calculus based on both derivative, position operators and a rule for the permutation of non commutative operators. Applcations for resolutions of differential equations , for obtaining operators that create by acting on monomials the polynomials most utilized in sciences and engineering. Their generating finctions, orthogonality and properties are then obtained in a coherent and very close way. This work shows also how, only from translation and Gaussian transform, to obtain the dilatation, the transform of x into real powers of x, the partial Fourier, Fourier, canonical transforms and how to get by them the transforms of arbitrary operators and functions, the related integral transform. The Laplace transform is also treated by the present method. Via the creation and the destruction operators applications in quantum mechanics are promising
Über den Autor
Born in 1942 at Bien Hoa, Vietnam; studied at Lycee Petrus Ky and DaLat, Saigon Univ , Licence in Sci Math (1964); Dr Sci Phys at Univ libre de Bruxelles (1971) researcher in quantum mechanics and operational calculus in Belgium. Returning back to Vietnam (1996) lecturer at the HoChiMinh city University of Natural Sciences. Now retired at Bien Hoa
Details
Erscheinungsjahr: 2016
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: 80 S.
ISBN-13: 9783659916021
ISBN-10: 3659916021
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Xx, Do Tan Si
Hersteller: LAP LAMBERT Academic Publishing
Maße: 220 x 150 x 5 mm
Von/Mit: Do Tan Si Xx
Erscheinungsdatum: 12.07.2016
Gewicht: 0,137 kg
Artikel-ID: 103589251
Über den Autor
Born in 1942 at Bien Hoa, Vietnam; studied at Lycee Petrus Ky and DaLat, Saigon Univ , Licence in Sci Math (1964); Dr Sci Phys at Univ libre de Bruxelles (1971) researcher in quantum mechanics and operational calculus in Belgium. Returning back to Vietnam (1996) lecturer at the HoChiMinh city University of Natural Sciences. Now retired at Bien Hoa
Details
Erscheinungsjahr: 2016
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: 80 S.
ISBN-13: 9783659916021
ISBN-10: 3659916021
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Xx, Do Tan Si
Hersteller: LAP LAMBERT Academic Publishing
Maße: 220 x 150 x 5 mm
Von/Mit: Do Tan Si Xx
Erscheinungsdatum: 12.07.2016
Gewicht: 0,137 kg
Artikel-ID: 103589251
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