Model identification for spin networks

Linear Algebra and Its Applications

Volumn 394, Issue 1-3, 2005, Pages 237-256

  Albertini, Francesca ^a   D'Alessandro, Domenico ^b,c  

^a UNIVERSITY OF PADOVA   (Italy)

^b IOWA STATE UNIVERSITY   (United States)

^c ETH ZURICH   (Switzerland)

Author keywords

Identification; Lie algebra structure; Quantum measurement; Spin networks

Indexed keywords

ELECTROMAGNETIC FIELDS; HAMILTONIANS; MAGNETIC MATERIALS; MAGNETIZATION; MATHEMATICAL MODELS; QUANTUM THEORY; THEOREM PROVING;

IDENTIFICATIONS; LIE ALGEBRA STRUCTURE; QUANTUM MEASUREMENTS; SPIN NETWORKS;

LINEAR ALGEBRA;

EID: 7544231519     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2004.07.007     Document Type: Article

References (14)

1. F. Albertini, D. D'Alessandro, The lie Algebra structure and controllability of spin systems, Linear Algebra Appl. 350 (2002) 213-235.
2. F. Albertini, D. D'Alessandro, Observability, measurement and parameter identification of quantum mechanical systems; applications to spin networks, in: Proceedings of the 42nd IEEE Conference on Decision and Control, Maui, Hawaii USA, December 2003, pp. 439-444.
3. D.D. Awschalom, D.P. DiVincenzo, Complex dynamics of mesoscopic magnets, Phys. Today (1995) 43-48.
4. B. Barbara, L. Gunther, Magnets, molecules and quantum mechanics, Phys. World (1999) 35-39.
5. G. Christou, D. Gatteschi, D.N. Hendrickson, R. Sessoli, Single-molecule magnets, MRS Bull. (2000) 66-71.
6. D. D'Alessandro, On quantum state observability and measurement, J. Phys. A 36 (37) (2003) 9721-9735.
7. 12 acetate molecules, Phys. Rev. Lett. 80 (1998) 612.
8. L. Gunther, B. Barbara (Eds.), Proceedings of the First NATO Workshop on Quantum Tunneling of Magnetization: QTM 94, Kluwer, Dordrecht.
9. R.A. Horn, C.R. Johnson, Topics in Matrix Analysis, Cambridge University Press, 1991.
10. G.M. Huang, T.J. Tarn, J.W. Clark, On the controllability of quantum mechanical systems, J. Math. Phys. 24(11) (1983) 2608-2618.
11. L. Ljung, T. Soderstrom, Theory and Practice of Recursive Identification, MTF Press, Cambridge, Massachusetts, 1983.
12. J.J. Sakurai, Modern Quantum Mechanics, Addison-Wesley Pub. Co., Reading, Mass., 1994.
13. H.-J. Schmidt, M. Luban, Continuous families of isospectral Heisenberg spin systems and the limits of inference from measurements, J. Phys. A: Math. Gen. 34 (2001) 2839-2858.
14. E. Sontag, Mathematical Control Theory; Deterministic, Finite Dimensional Systems, Springer, New York, 1990.