Fisher information of D-dimensional hydrogenic systems in position and momentum spaces

被引:52
作者
Dehesa, J. S. [1 ]
Lopez-Rosa, S.
Olmos, B.
Yanez, R. J.
机构
[1] Univ Granada, Inst Carlos I Fis Teor & Computac, E-18071 Granada, Spain
[2] Univ Granada, Dept Fis Moderna, E-18071 Granada, Spain
[3] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain
关键词
D O I
10.1063/1.2190335
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The spreading of the quantum-mechanical probability distribution density of D-dimensional hydrogenic orbitals is quantitatively determined by means of the local information-theoretic quantity of Fisher in both position and momentum spaces. The Fisher information is found in closed form in terms of the quantum numbers of the orbital. (c) 2006 American Institute of Physics.
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页数:13
相关论文
共 58 条
[1]   Hydrogen atom in N dimensions [J].
Al-Jaber, SM .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1998, 37 (04) :1289-1298
[2]  
ALLILUEV SP, 1958, SOV PHYS JETP-USSR, V6, P156
[3]  
[Anonymous], 2004, PHYS FISHER INFORM
[4]  
[Anonymous], 1977, COMPTON SCATTERING I
[5]   The d-dimensional hydrogen atom: Hyperspherical harmonics as momentum space orbitals and alternative Sturmian basis sets [J].
Aquilanti, V ;
Cavalli, S ;
Coletti, C .
CHEMICAL PHYSICS, 1997, 214 (01) :1-13
[6]   Sturmian orbitals and molecular structure [J].
Aquilanti, V ;
Caligiana, A .
JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, 2004, 709 (1-3) :15-23
[7]   Hydrogenic orbitals in momentum space and hyperspherical harmonics: Elliptic Sturmian basis sets [J].
Aquilanti, V ;
Caligiana, A ;
Cavalli, S ;
Coletti, C .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2003, 92 (02) :212-228
[8]   Hydrogenic elliptic orbitals, Coulomb sturmian sets, and recoupling coefficients among alternative bases [J].
Aquilanti, V ;
Caligiana, A ;
Cavalli, S .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2003, 92 (02) :99-117
[9]   HYPERSPHERICAL COORDINATES FOR MOLECULAR-DYNAMICS BY THE METHOD OF TREES AND THE MAPPING OF POTENTIAL-ENERGY SURFACES FOR TRIATOMIC SYSTEMS [J].
AQUILANTI, V ;
CAVALLI, S ;
GROSSI, G .
JOURNAL OF CHEMICAL PHYSICS, 1986, 85 (03) :1362-1375
[10]   Hyperspherical harmonics as Sturmian orbitals in momentum space: a systematic approach to the few-body Coulomb problem [J].
Aquilanti, V ;
Cavalli, S ;
Coletti, C ;
Di Domenico, D ;
Grossi, G .
INTERNATIONAL REVIEWS IN PHYSICAL CHEMISTRY, 2001, 20 (04) :673-709