Articles liés à Operator Calculus: Edification and Utilization
Synopsis
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
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- ÉditeurLAP LAMBERT Academic Publishing
- Date d'édition2016
- ISBN 10 3659916021
- ISBN 13 9783659916021
- ReliureBroché
- Langueanglais
- Nombre de pages80
- Coordonnées du fabricantnon disponible
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Operator Calculus
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LAP LAMBERT Academic Publishing, 2016
ISBN 10 : 3659916021
ISBN 13 : 9783659916021
Neuf
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Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: xx Do Tan SiBorn 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. N° de réf. du vendeur 158606651
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Operator Calculus : Edification and Utilization
Edité par
LAP LAMBERT Academic Publishing, 2016
ISBN 10 : 3659916021
ISBN 13 : 9783659916021
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. N° de réf. du vendeur 9783659916021
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Operator Calculus
Edité par
LAP LAMBERT Academic Publishing Jul 2016, 2016
ISBN 10 : 3659916021
ISBN 13 : 9783659916021
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 80 pp. Englisch. N° de réf. du vendeur 9783659916021
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Operator Calculus
Edité par
LAP LAMBERT Academic Publishing Jul 2016, 2016
ISBN 10 : 3659916021
ISBN 13 : 9783659916021
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. Neuware -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 promisingBooks on Demand GmbH, Überseering 33, 22297 Hamburg 80 pp. Englisch. N° de réf. du vendeur 9783659916021
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Operator Calculus: Edification and Utilization
Edité par
LAP LAMBERT Academic Publishing, 2016
ISBN 10 : 3659916021
ISBN 13 : 9783659916021
Neuf
Paperback
Vendeur : Revaluation Books, Exeter, Royaume-Uni
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Paperback. Etat : Brand New. 80 pages. 8.66x5.91x0.19 inches. In Stock. N° de réf. du vendeur 3659916021
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