Lagrangians and Hamiltonians for One-Dimensional Autonomous Systems

被引：0

作者：

G. González

机构：

[1] I.T.E.S.O.,Departamento de Matemáticas y Física

来源：

International Journal of Theoretical Physics | 2004年 / 43卷

关键词：

Lagrangian; Hamiltonian; constant of motion; nonconservative autonomous system;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An equation is obtained to find the Lagrangian for a one-dimensional autonomous system. The continuity of the first derivative of its constant of motion is assumed. This equation is solved for a generic nonconservative autonomous system that has certain quasi-relativistic properties. A new method based on a Taylor series expansion is used to obtain the associated Hamiltonian for this system. These results have the usual expression for a conservative system when the dissipation parameter goes to zero. An example of this approach is given.

引用

页码：1885 / 1890

页数：5

共 50 条

[41] On waves and recovering in one-dimensional autonomous CNN's
Mladenov, V
Hegt, H
[J]. PROCEEDINGS OF THE 2000 6TH IEEE INTERNATIONAL WORKSHOP ON CELLULAR NEURAL NETWORKS AND THEIR APPLICATIONS (CNNA 2000), 2000, : 21 - 26
[42] A polynomial time algorithm for the ground state of one-dimensional gapped local Hamiltonians
Landau Z.
Vazirani U.
Vidick T.
[J]. Nature Physics, 2015, 11 (07) : 566 - 569
[43] COMPLETELY INTEGRABLE ONE-DIMENSIONAL CLASSICAL AND RELATIVISTIC TIME-DEPENDENT HAMILTONIANS
BOUQUET, S
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 1994, 99 (03) : 641 - 647
[44] WAVEFUNCTIONS OF ONE-DIMENSIONAL INCOMMENSURATE HAMILTONIANS - THE FRACTAL DIMENSION AND ITS RELATIONSHIP WITH LOCALIZATION
SAUL, A
LLOIS, AM
WEISSMANN, M
[J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1988, 21 (11): : 2137 - 2151
[45] CHARACTERIZATION OF HOMOGENEOUS QUADRATIC-INVARIANTS FOR ONE-DIMENSIONAL HOMOGENEOUS QUADRATIC HAMILTONIANS
WOLLENBERG, LS
[J]. PHYSICS LETTERS A, 1980, 79 (04) : 269 - 272
[46] COMMUTATOR METHODS AND ASYMPTOTIC COMPLETENESS FOR ONE-DIMENSIONAL STARK-EFFECT HAMILTONIANS
JENSEN, A
[J]. LECTURE NOTES IN MATHEMATICS, 1986, 1218 : 151 - 166
[47] Rectification in one-dimensional electronic systems
Braunecker, B
Feldman, DE
Marston, JB
[J]. PHYSICAL REVIEW B, 2005, 72 (12)
[48] Entanglement in one-dimensional spin systems
Osterloh, A
Amico, L
Plastina, F
Fazio, R
[J]. QUANTUM INFORMATION AND COMPUTATION II, 2004, 5436 : 150 - 161
[49] ONE-DIMENSIONAL OPTIMIZATION ON MULTIPROCESSOR SYSTEMS
FRANKLIN, MA
SOONG, NL
[J]. IEEE TRANSACTIONS ON COMPUTERS, 1981, 30 (01) : 61 - 66
[50] SYSTEMS FOR GENERATING ONE-DIMENSIONAL PATTERNS
ROSENFELD, A
GOLDSTEIN, A
[J]. APPLIED OPTICS, 1964, 3 (04): : 547 - &

← 1 2 3 4 5 →