Distribution of xp in some molecular rotational states

被引：5

作者：

Liu, Q. H. ^{[1
,2
]}

机构：

[1] Hunan Univ, Sch Theoret Phys, Changsha 410082, Hunan, Peoples R China

[2] Hunan Univ, Dept Appl Phys, Changsha 410082, Hunan, Peoples R China

来源：

PHYSICS LETTERS A | 2014年 / 378卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Geometric momentum; Spherical harmonics; Posmom operator; Posmometry; RIEMANN ZEROS; QUANTUM; PARTICLE; MOMENTUM;

D O I：

10.1016/j.physleta.2014.01.025

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Developing the analysis of the distribution of the so-called posmom xp to some molecular rotational states for diatomic molecules and spherical cage molecules, we obtain posmometry (introduced recently by Bernard and Gill, 2010 [5]) of the spherical harmonics and demonstrate that it is similar to the momentum distributions of the stationary states for a one-dimensional simple harmonic oscillator. The results are not only potentially experimentally testable but also reflect a fact that the embedding of the two-dimensional spherical surface S-2 in three-dimensional flat space R-3 is physically self-consistent and appealing. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：785 / 789

页数：5

共 29 条

[1] HOW THE RESULT OF A MEASUREMENT OF A COMPONENT OF THE SPIN OF A SPIN-1/2 PARTICLE CAN TURN OUT TO BE 100 [J].

AHARONOV, Y ;

ALBERT, DZ ;

VAIDMAN, L .

PHYSICAL REVIEW LETTERS, 1988, 60 (14) :1351-1354

[2]

[Anonymous], 2006, RIEMANNIAN GEOMETRY, DOI DOI 10.1017/CBO9780511616822

[3] Distribution of r12 • p12 in quantum systems [J].

Bernard, Yves A. ;

Loos, Pierre-Francois ;

Gill, Peter M. W. .

MOLECULAR PHYSICS, 2013, 111 (16-17) :2414-2426

[4] Posmom: The Unobserved Observable [J].

Bernard, Yves A. ;

Gill, Peter M. W. .

JOURNAL OF PHYSICAL CHEMISTRY LETTERS, 2010, 1 (08) :1254-1258

[5] The distribution of r.p in quantum mechanical systems [J].

Bernard, Yves A. ;

Gill, Peter M. W. .

NEW JOURNAL OF PHYSICS, 2009, 11

[6] A compact hamiltonian with the same asymptotic mean spectral density as the Riemann zeros [J].

Berry, M. V. ;

Keating, J. P. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (28)

[7] The Riemann zeros and eigenvalue asymptotics [J].

Berry, MV ;

Keating, JP .

SIAM REVIEW, 1999, 41 (02) :236-266

[8] CONFORMAL INVARIANCE IN QUANTUM-MECHANICS [J].

DEALFARO, V ;

FUBINI, S ;

FURLAN, G .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1976, 34 (04) :569-612

[9]

Gill PMW, 2011, ANNU REP PROG CHEM C, V107, P229, DOI 10.1039/c1pc90008k

[10] A Dirac-type variant of the xp-model and the Riemann zeros [J].

Gupta, Kumar S. ;

Harikumar, E. ;

de Queiroz, Amilcar R. .

EPL, 2013, 102 (01)

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