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Bücher Englische Bücher Principles of Advanced Mathematical Physics
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Principles of Advanced Mathematical Physics
Robert D. Richtmyer (Gebundene Ausgabe, Englisch)
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Beschreibung
A first consequence of this difference in texture concerns the attitude we must take toward some (or perhaps most) investigations in "applied mathe matics," at least when the mathematics is applied to physics. Namely, those investigations have to be regarded as pure mathematics and evaluated as such. For example, some of my mathematical colleagues have worked in recent years on the Hartree-Fock… approximate method for determining the structures of many-electron atoms and ions. When the method was intro duced, nearly fifty years ago, physicists did the best they could to justify it, using variational principles, intuition, and other techniques within the texture of physical reasoning. By now the method has long since become part of the established structure of physics. The mathematical theorems that can be proved now (mostly for two- and three-electron systems, hence of limited interest for physics), have to be regarded as mathematics. If they are good mathematics (and I believe they are), that is justification enough. If they are not, there is no basis for saying that the work is being done to help the physicists. In that sense, applied mathematics plays no role in today's physics. In today's division of labor, the task of the mathematician is to create mathematics, in whatever area, without being much concerned about how the mathematics is used; that should be decided in the future and by physics. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
01.10.1985
Sprache
Englisch
EAN
9783540088738
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Theoretical and Mathematical Physics
Sonderedition
Nein
Autor
Robert D. Richtmyer
Seitenanzahl
424
Einbandart
Gebundene Ausgabe
Schlagwörter
solution, Monte Carlo method, mechanics, Hamiltonian, vector field, Fourier transform, Potential, mathematical physics, Maxwell’s equations, momentum, applied mathematics, quantum mechanics, polarization, Functionals, conservation law
Thema-Inhalt
PHU - Mathematische Physik
PHU - Mathematische Physik
PHU - Mathematische Physik
-.-
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