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

The Schrödinger and Riccati Equations

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Chemistry 70
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-65105-5
• 1998.
• Seitenzahl: 240
• Erscheinungstermin: 18. November 1998
• Englisch
• Abmessung: 235mm x 155mm x 14mm
• Gewicht: 370g
• ISBN-13: 9783540651055
• ISBN-10: 3540651055
• Artikelnr.: 27590008

Inhaltsangabe

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.