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The Schroedinger and Riccati Equations : Lecture Notes in Chemistry, - Serafin Fraga

The Schroedinger and Riccati Equations

Lecture Notes in Chemistry,

Paperback ISBN: 9783540651055
Number Of Pages: 218

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The linear Schrodinger equation is central to quantum chemistry. It is presented within the context of relativistic quantum mechanics and analyzed both in time-dependent and time-independent forms. The Riccati equation is used to study the one-dimensional Schrodinger equation. The authors develop the Schrodinger Riccati equation as an approach to determine solutions of the time-independent, linear Schrodinger equation.

Introductionp. 1
The Linear Schrodinger Equationp. 7
Derivation of the Schrodinger Equationp. 8
The Schrodinger Equation in Position Spacep. 24
The Schrodinger Equation In Momentum Spacep. 46
The Local Schrodinger Equationp. 80
The Time-Dependent Schrodinger Equationp. 92
The Non-Linear Schrodinger Equationp. 105
The Non-Linear Schrodinger Equationp. 106
The Riccati Equationp. 123
The Riccati Equation and Its Solutionp. 124
Quantum-Mechanical Applications of the Riccati Equationp. 132
The Schrodinger-Riccati Equationp. 145
The Schrodinger-Riccati Equationp. 146
Numerical Experience with the Schrodinger-Riccati Equationp. 160
References and Bibliographyp. 187
App: Matrix Notationp. 219
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540651055
ISBN-10: 3540651055
Series: Lecture Notes in Chemistry,
Audience: General
Format: Paperback
Language: English
Number Of Pages: 218
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.3
Weight (kg): 0.34