The diagonalization of cubic matrices

Journal of Physics A: Mathematical and General

Volumn 33, Issue 32, 2000, Pages 5669-5673

  Cocolicchio, D ^a   Viggiano, M ^a  

^a UNIVERSITY OF BASILICATA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034682684     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/32/305     Document Type: Article

References (11)

1. Hieronimi Cardani 1545 Praestantissimi mathematici philosophi, ac medici Artis Magnae sive de Regulis Algebraicis Liber Unus per Job. Petreium (Norinbergae)
2. Tartaglia N 1546 Quesiti et Inventioni Diverse (Venezia)
3. Uspensky J V 1948 Theory of Equations 1st edn (New York: McGraw-Hill) p 84ff
4. Dattoli G and Torre A 1990 Cayley-Klein parameters and evolution of two- and three-level systems and squeezed states J. Math. Phys. 31 236 Arvind P K, Mallesh K S and Mukunda N 1997 A generalized Pancharatnam geometric phase formula for three level quantum systems J. Phys. A: Math. Gen. 30 2417 Khanna G, Mukhopadhyay S, Simon R and Mukunda N 1997 Ann. Phys., NY 253 55 Ali Mostafazadeh 1996 Geometric phase, bundle classification, and group representation J. Math. Phys. 37 1218 Ali Mostafazadeh 1999 J. Math. Phys. 40 3697 Ali Mostafazadeh 1997 Nonabelian geometrical phase for general three-dimensional quantum systems J. Phys. A: Math. Gen. 30 7525 Byrd M 1999 Geometric phases for three state systems Preprint quant-ph/9902061
5. Dattoli G and Torre A 1990 Cayley-Klein parameters and evolution of two- and three-level systems and squeezed states J. Math. Phys. 31 236 Arvind P K, Mallesh K S and Mukunda N 1997 A generalized Pancharatnam geometric phase formula for three level quantum systems J. Phys. A: Math. Gen. 30 2417 Khanna G, Mukhopadhyay S, Simon R and Mukunda N 1997 Ann. Phys., NY 253 55 Ali Mostafazadeh 1996 Geometric phase, bundle classification, and group representation J. Math. Phys. 37 1218 Ali Mostafazadeh 1999 J. Math. Phys. 40 3697 Ali Mostafazadeh 1997 Nonabelian geometrical phase for general three-dimensional quantum systems J. Phys. A: Math. Gen. 30 7525 Byrd M 1999 Geometric phases for three state systems Preprint quant-ph/9902061
6. Dattoli G and Torre A 1990 Cayley-Klein parameters and evolution of two- and three-level systems and squeezed states J. Math. Phys. 31 236 Arvind P K, Mallesh K S and Mukunda N 1997 A generalized Pancharatnam geometric phase formula for three level quantum systems J. Phys. A: Math. Gen. 30 2417 Khanna G, Mukhopadhyay S, Simon R and Mukunda N 1997 Ann. Phys., NY 253 55 Ali Mostafazadeh 1996 Geometric phase, bundle classification, and group representation J. Math. Phys. 37 1218 Ali Mostafazadeh 1999 J. Math. Phys. 40 3697 Ali Mostafazadeh 1997 Nonabelian geometrical phase for general three-dimensional quantum systems J. Phys. A: Math. Gen. 30 7525 Byrd M 1999 Geometric phases for three state systems Preprint quant-ph/9902061
7. Dattoli G and Torre A 1990 Cayley-Klein parameters and evolution of two- and three-level systems and squeezed states J. Math. Phys. 31 236 Arvind P K, Mallesh K S and Mukunda N 1997 A generalized Pancharatnam geometric phase formula for three level quantum systems J. Phys. A: Math. Gen. 30 2417 Khanna G, Mukhopadhyay S, Simon R and Mukunda N 1997 Ann. Phys., NY 253 55 Ali Mostafazadeh 1996 Geometric phase, bundle classification, and group representation J. Math. Phys. 37 1218 Ali Mostafazadeh 1999 J. Math. Phys. 40 3697 Ali Mostafazadeh 1997 Nonabelian geometrical phase for general three-dimensional quantum systems J. Phys. A: Math. Gen. 30 7525 Byrd M 1999 Geometric phases for three state systems Preprint quant-ph/9902061
8. Dattoli G and Torre A 1990 Cayley-Klein parameters and evolution of two- and three-level systems and squeezed states J. Math. Phys. 31 236 Arvind P K, Mallesh K S and Mukunda N 1997 A generalized Pancharatnam geometric phase formula for three level quantum systems J. Phys. A: Math. Gen. 30 2417 Khanna G, Mukhopadhyay S, Simon R and Mukunda N 1997 Ann. Phys., NY 253 55 Ali Mostafazadeh 1996 Geometric phase, bundle classification, and group representation J. Math. Phys. 37 1218 Ali Mostafazadeh 1999 J. Math. Phys. 40 3697 Ali Mostafazadeh 1997 Nonabelian geometrical phase for general three-dimensional quantum systems J. Phys. A: Math. Gen. 30 7525 Byrd M 1999 Geometric phases for three state systems Preprint quant-ph/9902061
9. Dattoli G and Torre A 1990 Cayley-Klein parameters and evolution of two- and three-level systems and squeezed states J. Math. Phys. 31 236 Arvind P K, Mallesh K S and Mukunda N 1997 A generalized Pancharatnam geometric phase formula for three level quantum systems J. Phys. A: Math. Gen. 30 2417 Khanna G, Mukhopadhyay S, Simon R and Mukunda N 1997 Ann. Phys., NY 253 55 Ali Mostafazadeh 1996 Geometric phase, bundle classification, and group representation J. Math. Phys. 37 1218 Ali Mostafazadeh 1999 J. Math. Phys. 40 3697 Ali Mostafazadeh 1997 Nonabelian geometrical phase for general three-dimensional quantum systems J. Phys. A: Math. Gen. 30 7525 Byrd M 1999 Geometric phases for three state systems Preprint quant-ph/9902061
10. Dattoli G and Torre A 1990 Cayley-Klein parameters and evolution of two- and three-level systems and squeezed states J. Math. Phys. 31 236 Arvind P K, Mallesh K S and Mukunda N 1997 A generalized Pancharatnam geometric phase formula for three level quantum systems J. Phys. A: Math. Gen. 30 2417 Khanna G, Mukhopadhyay S, Simon R and Mukunda N 1997 Ann. Phys., NY 253 55 Ali Mostafazadeh 1996 Geometric phase, bundle classification, and group representation J. Math. Phys. 37 1218 Ali Mostafazadeh 1999 J. Math. Phys. 40 3697 Ali Mostafazadeh 1997 Nonabelian geometrical phase for general three-dimensional quantum systems J. Phys. A: Math. Gen. 30 7525 Byrd M 1999 Geometric phases for three state systems Preprint quant-ph/9902061
11. Cocolicchio D and Viggiano M 1999 The exact parametrization of the neutrino mixing Preprint hep-ph/9906228