scholarly journals Use of harmonic inversion techniques in the periodic orbit quantization of integrable systems

2000 ◽  
Vol 12 (3) ◽  
pp. 381-401 ◽  
Author(s):  
K. Weibert ◽  
J. Main ◽  
G. Wunner
1997 ◽  
Vol 79 (5) ◽  
pp. 825-828 ◽  
Author(s):  
Jörg Main ◽  
Vladimir A. Mandelshtam ◽  
Howard S. Taylor

2001 ◽  
Vol 289 (6) ◽  
pp. 329-332 ◽  
Author(s):  
Kirsten Weibert ◽  
Jörg Main ◽  
Günter Wunner

2000 ◽  
Vol 33 (6) ◽  
pp. 1247-1263 ◽  
Author(s):  
J Main ◽  
P A Dando ◽  
Dz Belkic ◽  
H S Taylor

1998 ◽  
Vol 58 (4) ◽  
pp. 4436-4439 ◽  
Author(s):  
Jörg Main ◽  
Kirsten Weibert ◽  
Günter Wunner

Nonlinearity ◽  
1998 ◽  
Vol 11 (4) ◽  
pp. 1015-1035 ◽  
Author(s):  
Jörg Main ◽  
Vladimir A Mandelshtam ◽  
Günter Wunner ◽  
Howard S Taylor

1999 ◽  
Vol 60 (2) ◽  
pp. 1639-1642 ◽  
Author(s):  
Jörg Main ◽  
Kirsten Weibert ◽  
Vladimir A. Mandelshtam ◽  
Günter Wunner

1966 ◽  
Vol 25 ◽  
pp. 227-229 ◽  
Author(s):  
D. Brouwer

The paper presents a summary of the results obtained by C. J. Cohen and E. C. Hubbard, who established by numerical integration that a resonance relation exists between the orbits of Neptune and Pluto. The problem may be explored further by approximating the motion of Pluto by that of a particle with negligible mass in the three-dimensional (circular) restricted problem. The mass of Pluto and the eccentricity of Neptune's orbit are ignored in this approximation. Significant features of the problem appear to be the presence of two critical arguments and the possibility that the orbit may be related to a periodic orbit of the third kind.


1990 ◽  
Vol 45 (3) ◽  
pp. 345-355
Author(s):  
J. Helgesen ◽  
I. Brevik ◽  
E. Berg
Keyword(s):  

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