The Schrödinger and Riccati Equations

Serafin Fraga, Jose M. Garcia de la Vega, Eric S. Fraga (Autoren)

Buch | Softcover

XIV, 218 Seiten

1998 | 1. Softcover reprint of the original 1st ed. 1999
Springer Berlin (Verlag)
978-3-540-65105-5 (ISBN)

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The linear Schrödinger equation is central to Quantum Chemistry. It is presented within the context of relativistic Quantum Mechanics and analysed both in time-dependent and time-independent forms. The Riccati equation is used to study the one-dimensional Schrödinger equation.
The authors develop the Schrödinger-Riccati equation as an approach to determine solutions of the time-independent, linear Schrödinger equation.

1 Introduction.- The Linear Schrödinger Equation.- 2 Derivation of the Schrödinger Equation.- 3 The Schrödinger Equation in Position Space.- 4 The Schrödinger Equation In Momentum Space.- 5 The Local Schrödinger Equation.- 6 The Time-Dependent Schrödinger Equation.- The Non-Linear Schrödinger Equation.- 7 The Non-Linear Schrödinger Equation.- The Riccati Equation.- 8 The Riccati Equation and Its Solution.- 9 Quantum-Mechanical Applications of the Riccati Equation.- The Schrödinger-Riccati Equation.- 10 The Schrödinger-Riccati Equation.- 11 Numerical Experience with the Schrödinger-Riccati Equation.- 12 References and Bibliography.- Appendix. Matrix Notation.

Erscheint lt. Verlag	18.11.1998
Reihe/Serie	Lecture Notes in Chemistry
Zusatzinfo	XIV, 218 p. 2 illus.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	320 g
Themenwelt	Naturwissenschaften ► Chemie ► Physikalische Chemie
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
Schlagworte	HC/Chemie/Theoretische Chemie • Quantenchemie • Quantenmechanik • quantum mechanics • Riccatische Differentialgleichung • Schrödinger equation • Schrödinger Gleichung • Schrödinger-Gleichung
ISBN-10	3-540-65105-5 / 3540651055
ISBN-13	978-3-540-65105-5 / 9783540651055
Zustand	Neuware