QUANTIZATION OF SYSTEMS WITH INTERNAL DEGREES OF FREEDOM IN TWO-DIMENSIONAL MANIFOLDS

被引：0

作者：

Rozko, Ewa Eliza ^{[1
]}

Gobcewicz, Ewa ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Fundamental Technol Res, PL-02106 Warsaw, Poland

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2014年 / 73卷 / 03期

关键词：

quantization; infinitesimal rigid body; Lobachevsky space; the Schrodinger procedure; AFFINELY-RIGID BODIES; DEGENERATE DIMENSION; HAMILTONIAN-SYSTEMS; MODELS; EQUATION; SPACES; BODY; SCHRODINGER; MECHANICS; MOTION;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Presented is a primary step towards quantization of infinitesimal rigid body moving in a two-dimensional manifold. The special stress is laid on spaces of constant curvature like the two-dimensional sphere and pseudosphere (Lobachevslcy space). Also two-dimensional torus is briefly discussed as an interesting algebraic manifold.

引用

页码：325 / 343

页数：19

共 50 条

[31] Linear frames in manifolds, Riemannian structures and description of internal degrees of freedom
Slawianowski, JJ
[J]. REPORTS ON MATHEMATICAL PHYSICS, 2003, 51 (2-3) : 345 - 369
[32] Internal forces in nondegenerate two-dimensional electron systems
FangYen, C
Dykman, MI
Lea, MJ
[J]. PHYSICAL REVIEW B, 1997, 55 (24): : 16272 - 16279
[33] ISOMONODROMIC QUANTIZATION OF THE SECOND PAINLEVE EQUATION BY MEANS OF CONSERVATIVE HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM
Suleimanov, B., I
[J]. ST PETERSBURG MATHEMATICAL JOURNAL, 2022, 33 (06) : 995 - 1009
[34] On the Dynamics of Systems with Two Degrees of Freedom
N. V. Denisova
[J]. Doklady Mathematics, 2022, 105 : 1 - 5
[35] Dynamical systems with two degrees of freedom
Birkhoff, GD
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1917, 3 : 314 - 316
[36] Dynamical systems with two degrees of freedom
Birkhoff, George D.
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1917, 18 (1-4) : 199 - 300
[37] On the Dynamics of Systems with Two Degrees of Freedom
Denisova, N., V
[J]. DOKLADY MATHEMATICS, 2022, 105 (01) : 1 - 5
[38] Canonical quantization of two-dimensional gravity
S. N. Vergeles
[J]. Journal of Experimental and Theoretical Physics, 2000, 90 : 1 - 16
[39] Two-dimensional Laplace source quantization
Peric, ZH
Jovkovic, JD
Nikolic, ZJ
[J]. TELSIKS 2001, VOL 1 & 2, PROCEEDINGS, 2001, : 33 - 36
[40] QUANTIZATION OF ANOMALOUS TWO-DIMENSIONAL MODELS
HALLIDAY, IG
RABINOVICI, E
SCHWIMMER, A
CHANOWITZ, M
[J]. NUCLEAR PHYSICS B, 1986, 268 (02) : 413 - 426

← 1 2 3 4 5 →