QUANTUM GROUP PARTICLES AND NON-ARCHIMEDEAN GEOMETRY

被引：54

作者：

AREFEVA, IY ^{[1
]}

VOLOVICH, IV ^{[1
]}

机构：

[1] VA STEKLOV MATH INST, MOSCOW 117966, USSR

来源：

PHYSICS LETTERS B | 1991年 / 268卷 / 02期

关键词：

D O I：

10.1016/0370-2693(91)90801-V

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The classical and quantum mechanics on the quantum plane are discussed. They correspond to q-deformation and HBAR-q-deformations of the usual mechanics, respectively. A particle on the quantum line as the simplest example of such a kind of system is investigated in more detail. A new phenomenon occurs even for the free particle, namely, the mass for a free particle on the quantum line is not a number but a non-commutative element. Some relations between q-deformed quantum mechanics and p-adic quantum mechanics are also presented.

引用

页码：179 / 187

页数：9

共 49 条

[1] CAN SPACETIME BE PROBED BELOW THE STRING SIZE
AMATI, D
CIAFALONI, M
VENEZIANO, G
[J]. PHYSICS LETTERS B, 1989, 216 (1-2) : 41 - 47
[2] SUPERSTRING COLLISIONS AT PLANCKIAN ENERGIES
AMATI, D
CIAFALONI, M
VENEZIANO, G
[J]. PHYSICS LETTERS B, 1987, 197 (1-2) : 81 - 88
[3] CLASSICAL AND QUANTUM-GRAVITY EFFECTS FROM PLANCKIAN ENERGY SUPERSTRING COLLISIONS
AMATI, D
CIAFALONI, M
VENEZIANO, G
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1988, 3 (07): : 1615 - 1661
[4] BEYOND PLANCK ENERGY TO NON-ARCHIMEDEAN GEOMETRY
AREFEVA, I
FRAMPTON, PH
[J]. MODERN PHYSICS LETTERS A, 1991, 6 (04) : 313 - 316
[5] QUANTUM GROUP CHIRAL-FIELDS AND DIFFERENTIAL YANG-BAXTER EQUATIONS
AREFEVA, IY
VOLOVICH, IV
[J]. PHYSICS LETTERS B, 1991, 264 (1-2) : 62 - 68
[6] KALUZA-KLEIN THEORIES AND THE SIGNATURE OF SPACE-TIME
AREFEVA, IY
VOLOVICH, IV
[J]. PHYSICS LETTERS B, 1985, 164 (4-6) : 287 - 292
[7] EXTRA TIME-LIKE DIMENSIONS LEAD TO A VANISHING COSMOLOGICAL CONSTANT
AREFEVA, IY
DRAGOVIC, BG
VOLOVICH, IV
[J]. PHYSICS LETTERS B, 1986, 177 (3-4) : 357 - 360
[8] QUANTUM GROUP GAUGE-FIELDS
AREFEVA, IY
VOLOVICH, IV
[J]. MODERN PHYSICS LETTERS A, 1991, 6 (10) : 893 - 907
[9] THE QUANTUM GROUP SUQ(2) AND A Q-ANALOGUE OF THE BOSON OPERATORS
BIEDENHARN, LC
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (18): : L873 - L878
[10] SUPERCOVARIANT SYSTEMS OF Q-OSCILLATORS AND Q-SUPERSYMMETRIC HAMILTONIANS
CHAICHIAN, M
KULISH, P
LUKIERSKI, J
[J]. PHYSICS LETTERS B, 1991, 262 (01) : 43 - 48

← 1 2 3 4 5 →