𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hamiltonian and Lagrangian forN-Dimensional Autonomous Systems

✍ Scribed by G. López


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
244 KB
Volume
251
Category
Article
ISSN
0003-4916

No coin nor oath required. For personal study only.

✦ Synopsis


The Lagrangian and the Generalized Linear Momentum are expressed in terms of a Constant of Motion of an N-dimensional autonomous system. The approach allows the construction of Lagrangians and Hamiltonians which are not related by canonical transformations.


📜 SIMILAR VOLUMES


One-Dimensional Autonomous Systems and D
✍ G. López 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 241 KB

The Lagrangian and the Generalized Linear Momentum are given in terms of a constant of motion for a one-dimensional autonomous system. The possibility of having an explicit Hamiltonian expression is also analyzed. The approach is applied to some dissipative systems.

A New Proof of the Existence of Homoclin
✍ Paolo Caldiroli 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 356 KB 👁 1 views

## Abstract We consider the Hamiltonian system in IR^__N__^ given by where __V__ : IR^__N__^ rarr; IR is a smooth potential having a non degenerate local maximum at 0 and we assume that there is an open bounded neighborhood ft of 0 such that V(__x__) < __V__(0) for __x__ δ Ω / {0}, __V(x)__ = __V

Hamiltonians and Lagrangians for one-dim
📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 69 KB

We extend the Lagrangian and generalized linear momentum expressions for time-independent systems found by Kobussen and Leubner and by Yan, respectively, to time-dependent systems. Some examples are presented. Chern-Sitnons Theory in the Schriidinger Representation.

An alternative way of solving secular eq
✍ V. Gineityte 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 997 KB

An alternative approach to secular problems for Hamiltonian matrices H of regular quasi-one-dimensional systems is suggested. The essence of this approach consists of the inverted order of operations against that of the traditional solid-state theory, viz., taking into account the local structure of