Published February 1991
| Version v1
Journal article
SOq(N) covariant differential calculus on quantum space and quantum deformation of Schroedinger equation
- 1. Karlsruhe Univ. (T.H.) (Germany, F.R.). Inst. fuer Theoretische Physik
Description
We construct a differential calculus on the N-dimensional non-commutative Euclidean space, i.e., the space on which the quantum group SOq(N) is acting. The differential calculus is required to be manifestly covariant under SOq(N) transformations. Using this calculus, we consider the Schroedinger equation corresponding to the harmonic oscillator in the limit of q→1. The solution of it is given by q-deformed functions. (orig.)
Additional details
Publishing Information
- Journal Title
- Zeitschrift fuer Physik. C
- Journal Volume
- 49
- Journal Issue
- 3
- Series
- Z. Phys., C.
- Journal Page Range
- 439-446
- ISSN
- 0170-9739
- CODEN
- ZPCFD
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 22023906
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANALYTICAL SOLUTION; ASYMPTOTIC SOLUTIONS; DEFORMATION; DIFFERENTIAL CALCULUS; EIGENSTATES; EIGENVALUES; EUCLIDEAN SPACE; EXCITED STATES; HARMONIC OSCILLATORS; IRREDUCIBLE REPRESENTATIONS; MANY-DIMENSIONAL CALCULATIONS; POLYNOMIALS; QUANTUM MECHANICS; ROTATIONAL INVARIANCE; SCHROEDINGER EQUATION; SO GROUPS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; ENERGY LEVELS; EQUATIONS; FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; RIEMANN SPACE; SPACE; SYMMETRY GROUPS; WAVE EQUATIONS