Saddle-node bifurcation for Rydberg atoms in parallel electric and magnetic fields

被引：6

作者：

Salas, JP ^{[1
]}

Lanchares, V

机构：

[1] Univ La Rioja, Area Fis Aplicada, Logrono 26004, Spain

[2] Univ La Rioja, Dept Matemat & Computac, Logrono 26004, Spain

来源：

PHYSICAL REVIEW A | 1998年 / 58卷 / 01期

关键词：

D O I：

10.1103/PhysRevA.58.434

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A comprehensive study of the hydrogen atom in the presence of parallel electric and magnetic fields is presented from the standpoint of classical mechanics for a nonzero magnetic quantum number rn. The transition from pure Zeeman effect to Stark effect is explored intensively by means of Poincare surfaces of section for a pair of m values and for different values of the field strengths. It is found that the transition from pure Zeeman effect to Stark effect passes through a saddle-node bifurcation.

引用

页码：434 / 439

页数：6

共 50 条

[1] Saddle-node bifurcation for Rydberg atoms in parallel electric and magnetic fields
Salas, J.P.
Lanchares, V.
Physical Review A. Atomic, Molecular, and Optical Physics, 1998, 58 (01):
[2] Teardrop bifurcation for Rydberg atoms in parallel electric and magnetic fields
Deprit, A
Lanchares, V
Inarrea, M
Salas, JP
Sierra, JD
PHYSICAL REVIEW A, 1996, 54 (05): : 3885 - 3893
[3] Rydberg states of atoms in parallel electric and magnetic fields
Santos, JP
Mota-Furtado, F
Laranjeira, MF
Parente, F
PHYSICAL REVIEW A, 1999, 59 (02): : 1703 - 1706
[4] Rydberg states of atoms in parallel electric and magnetic fields
Santos, J.P.
Mota-Furtado, F.
Laranjeira, M.F.
Parente, F.
Physical Review A - Atomic, Molecular, and Optical Physics, 1999, 59 (2-3): : 1703 - 1706
[5] A saddle-node bifurcation model of magnetic reconnection onset
Cassak, P. A.
Shay, M. A.
Drake, J. F.
PHYSICS OF PLASMAS, 2010, 17 (06)
[6] Saddle-node bifurcation of viscous profiles
Achleitner, Franz
Szmolyan, Peter
PHYSICA D-NONLINEAR PHENOMENA, 2012, 241 (20) : 1703 - 1717
[7] Shilnikov's saddle-node bifurcation
Glendinning, P
Sparrow, C
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1996, 6 (06): : 1153 - 1160
[8] A DOUBLE SADDLE-NODE BIFURCATION THEOREM
Liu, Ping
Shi, Junping
Wang, Yuwen
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (06) : 2923 - 2933
[9] On saddle-node bifurcation and chaos of satellites
Beda, PB
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (08) : 4881 - 4886
[10] SUPERSYMMETRIC FACTORIZATION FOR RYDBERG ATOMS IN PARALLEL ELECTRIC AND MAGNETIC-FIELDS
DELANDE, D
GAY, JC
PHYSICAL REVIEW LETTERS, 1991, 66 (25) : 3237 - 3240

← 1 2 3 4 5 →