On Anosov energy levels of convex Hamiltonian systems

1994 ◽  
Vol 217 (1) ◽  
pp. 367-376 ◽  
Author(s):  
Gabriel P. Paternain ◽  
Miguel Paternain
Keyword(s):  
Hamiltonian Systems ◽  
Energy Levels

Global surfaces of section in non-regular convex energy levels of Hamiltonian systems

2006 ◽  
Vol 255 (2) ◽  
pp. 323-334
Author(s):  
C. Grotta-Ragazzo ◽  
Pedro A. S. Salomão
Keyword(s):  
Hamiltonian Systems ◽  
Energy Levels ◽  
Regular Convex

Convex energy levels of Hamiltonian systems

2004 ◽  
Vol 4 (2) ◽  
pp. 439-454 ◽  
Author(s):  
Pedro A. S. Salomão
Keyword(s):  
Hamiltonian Systems ◽  
Energy Levels

scholarly journals The Multiplicity Problem for Periodic Orbits of Magnetic Flows on the 2-Sphere

2017 ◽  
Vol 17 (1) ◽  
Author(s):  
Alberto Abbondandolo ◽  
Luca Asselle ◽  
Gabriele Benedetti ◽  
Marco Mazzucchelli ◽  
Iskander A. Taimanov
Keyword(s):  
Periodic Orbits ◽  
Hamiltonian Systems ◽  
Cotangent Bundle ◽  
Energy Levels ◽  
High Energy ◽  
Intermediate Range ◽  
Magnetic Flows ◽  
Almost All

AbstractWe consider magnetic Tonelli Hamiltonian systems on the cotangent bundle of the 2-sphere, where the magnetic form is not necessarily exact. It is known that, on very low and on high energy levels, these systems may have only finitely many periodic orbits. Our main result asserts that almost all energy levels in a precisely characterized intermediate range

KNOTS AND LINKS IN INTEGRABLE HAMILTONIAN SYSTEMS

1998 ◽  
Vol 07 (02) ◽  
pp. 123-153 ◽  
Author(s):  
J. CASASAYAS ◽  
J. MARTINEZ ALFARO ◽  
A. NUNES
Keyword(s):  
Periodic Orbits ◽  
Hamiltonian Systems ◽  
Energy Levels ◽  
Solid Torus ◽  
Integrable Hamiltonian Systems ◽  
Hamiltonian Flows ◽  
Smale Flows ◽  
Knots And Links

The main purpose of this paper is to prove that Bott integrable Hamiltonian flows and non-singular Morse-Smale flows are closely related. As a consequence, we obtain a classification of the knots and links formed by periodic orbits of Bott integrable Hamiltonians on the 3-sphere and on the solid torus. We also show that most of Fomenko's theory on the topology of the energy levels of Bott integrable Hamiltonians can be derived from Morgan's results on 3-manifolds that admit non-singular Morse-Smale flows.

A Perturbation Theory for the Population of Atomic Energy Levels in Non-Lte Plasmas

1988 ◽  
Vol 102 ◽  
pp. 343-347
Author(s):  
M. Klapisch
Keyword(s):  
Perturbation Theory ◽  
Small Parameter ◽  
Classification Scheme ◽  
Sum Rules ◽  
Energy Levels ◽  
Natural Classification ◽  
Quantum Numbers ◽  
Formal Expansion ◽  
Atomic Energy Levels ◽  
As Effects

AbstractA formal expansion of the CRM in powers of a small parameter is presented. The terms of the expansion are products of matrices. Inverses are interpreted as effects of cascades.It will be shown that this allows for the separation of the different contributions to the populations, thus providing a natural classification scheme for processes involving atoms in plasmas. Sum rules can be formulated, allowing the population of the levels, in some simple cases, to be related in a transparent way to the quantum numbers.

Low-lying energy levels of the FeH molecule

1999 ◽  
Vol 97 (1) ◽  
pp. 93-103 ◽  
Author(s):  
DANIEL F. HULLAH, RICHARD F. BARROW, JOHN
Keyword(s):  
Energy Levels

Do Atomic Spectra Determine Energy Levels?

1995 ◽  
Vol 5 (8) ◽  
pp. 949-961 ◽  
Author(s):  
C. Billionnet
Keyword(s):  
Energy Levels ◽  
Atomic Spectra

Energy levels of neutral platinum (Pt I)

1992 ◽  
Vol 2 (4) ◽  
pp. 947-957 ◽  
Author(s):  
J. Blaise ◽  
J. Vergès ◽  
J.-F. Wyart ◽  
R. Engleman
Keyword(s):  
Energy Levels
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