Virtual Turning Points. SpringerBriefs in mathematical physics; 4.

Honda, Naofumi

ISBN 10: 4431557016 / ISBN 13: 9784431557012

Editore: Tokyo, Springer Japan, 2015

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Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04953 9784431557012 Sprache: Englisch Gewicht in Gramm: 550.

Codice articolo 2491196

Dati bibliografici

• Titolo: Virtual Turning Points. SpringerBriefs in mathematical physics; 4.
• Editore: Tokyo, Springer Japan
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 4431557016
• ISBN 13: 9784431557012
• Rilegatura: Softcover
• Edizione: Auflage 2015.
• Peso: 550 grammi
• Cataloghi dei venditori:
  • SA MATHEMATIK

Descrizione articolo

Riassunto

The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations. This monograph expounds the core part of its theory together with its application to the analysis of higher order Painlevé equations of the Noumi–Yamada type and to the analysis of non-adiabatic transition probability problems in three levels.

As M.V. Fedoryuk once lamented, global asymptotic analysis of higher order differential equations had been thought to be impossible to construct. In 1982, however, H.L. Berk, W.M. Nevins, and K.V. Roberts published a remarkable paper in theJournal of Mathematical Physics indicating that the traditional Stokes geometry cannot globally describe the Stokes phenomena of solutions of higher order equations; a new Stokes curve is necessary.