INFORMATION ENTROPY AND UNCERTAINTY IN D-DIMENSIONAL MANY-BODY SYSTEMS

被引：44

作者：

ANGULO, JC

机构：

[1] Departamento de Física Moderna, Facultad de Ciencias, Universidad de Granada

来源：

PHYSICAL REVIEW A | 1994年 / 50卷 / 01期

关键词：

D O I：

10.1103/PhysRevA.50.311

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Several entropic and uncertaintylike results for three-dimensional many-particle systems are extended to the case of arbitrary dimensionality D. This work deals with (i) upper bounds to information entropies and (ii) radial and logarithmic uncertainty relationships. The resulting expressions are given in an analytical compact form for any dimensionality. The first low-dimensional cases (D = 1, 2,3,4) are emphasized.

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页码：311 / 313

页数：3

相关论文

共 36 条

[1]

ALHASSID Y, 1977, J CHEM PHYS, V67, P432

[2] TIGHT RIGOROUS BOUNDS TO ATOMIC INFORMATION ENTROPIES [J].

ANGULO, JC ;

DEHESA, JS .

JOURNAL OF CHEMICAL PHYSICS, 1992, 97 (09) :6485-6495

[3] UNCERTAINTY RELATIONSHIPS IN MANY-BODY SYSTEMS [J].

ANGULO, JC .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (22) :6493-6497

[4]

ANGULO JC, 1993, J CHEM PHYS, V98, P1

[5] UNCERTAINTY RELATIONS FOR INFORMATION ENTROPY IN WAVE MECHANICS [J].

BIALYNICKIBIRULA, I ;

MYCIELSKI, J .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 44 (02) :129-132

[6] ON THE CORRELATION-ENERGY DENSITY FUNCTIONAL IN MOMENTUM SPACE [J].

DAS, GP ;

GHOSH, SK ;

SAHNI, VC .

SOLID STATE COMMUNICATIONS, 1988, 65 (07) :719-721

[7] BOUNDS TO DENSITY-DEPENDENT QUANTITIES OF D-DIMENSIONAL MANY-PARTICLE SYSTEMS IN POSITION AND MOMENTUM SPACES - APPLICATIONS TO ATOMIC SYSTEMS [J].

DEHESA, JS ;

GALVEZ, FJ ;

PORRAS, I .

PHYSICAL REVIEW A, 1989, 40 (01) :35-40

[8] 2-ELECTRON ATOMS NEAR THE ONE-DIMENSIONAL LIMIT [J].

DOREN, DJ ;

HERSCHBACH, DR .

JOURNAL OF CHEMICAL PHYSICS, 1987, 87 (01) :433-442

[9] CONVERGENCE PROPERTIES AND RESUMMATION OF THE 1/D EXPANSION [J].

DOREN, DJ ;

HERSCHBACH, DR .

PHYSICAL REVIEW A, 1986, 34 (04) :2665-2673

[10] SPATIAL DIMENSION AS AN EXPANSION PARAMETER IN QUANTUM-MECHANICS [J].

DOREN, DJ ;

HERSCHBACH, DR .

PHYSICAL REVIEW A, 1986, 34 (04) :2654-2664

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