A q-Schrödinger equation based on a Hopf q-deformation of the Witt algebra

Journal of Physics A: Mathematical and General

Volumn 32, Issue 26, 1999, Pages 4971-4981

  Twarock, R ^a  

^a CLAUSTHAL UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013091859     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/26/315     Document Type: Article

References (13)

1. Angermann B, Doebner H D and Tolar J 1983 Quantum kinematics on smooth manifolds (Lecture Notes im Maths vol 1037) (Berlin: Springer) pp 171-208
2. Dobrev V K, Doebner H D and Twarock R 1997 A discrete, nonlinear q-Schrödinger equation via Borel quantization and q-deformation of the Witt algebra J. Phys. A: Math. Gen. 38 1161-82
3. Doebner H D and Goldin G A 1992 On a general nonlinear Schrödinger equation admitting diffusion currents Phys. Lett. A 162 397-401
4. Doebner H D and Goldin G A 1994 Properties of nonlinear Schrödinger equations associated with diffeomorphism group representations J. Phys. A: Math. Gen. 27 1771-80
5. Doebner H D and Hennig J D 1995 A quantum mechanical evolution equation for mixed states from symmetry and kinematics Symmetries in Science VIII ed B Gruber (New York: Plenum) pp 85-90
6. Doebner H D and Müller U A 1993 Borel kinematics of rank k on smooth manifolds J. Phys. A: Math. Gen. 26 719-30
7. Doebner H D and Nattermann P 1996 Borel quantization: kinematics and dynamics Acta Phys. Pol. B 27 2327-39 Doebner H D and Nattermann P 1996 Borel quantization: kinematics and dynamics Acta Phys. Pol. B 27 4003
8. Doebner H D and Nattermann P 1996 Borel quantization: kinematics and dynamics Acta Phys. Pol. B 27 2327-39 Doebner H D and Nattermann P 1996 Borel quantization: kinematics and dynamics Acta Phys. Pol. B 27 4003
9. Doebner H D and Tolar J 1990 Infinite-dimensional symmetries Ann. Phys., Lpz. 47 116-22
10. Hiro-Oka H, Matsui O, Naito T and Saito S 1990 On the q-deformation of Virasoro algebra TMUP-HEL-9004
11. Nattermann P, Scherer W and Ushveridze A G 1994 Exact solutions of the general Doebner-Goldin equation Phys. Lett. A 184 234-40
12. Saito S 1991 q-Virasoro algebra and q-strings Quarks, Symmetries and Strings ed M Kaku et al (New York: World Scientific) pp 231-40
13. 1 with q-difference operators PhD Thesis Technische Universität. Clausthal