ROTATION MATRICES CORRESPONDING TO COMPLEX ANGULAR MOMENTA

Journal Article · Sun Sep 01 00:00:00 EDT 1963 · Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B

DOI:https://doi.org/10.1007/BF02750126· OSTI ID:4147902

Beltrametti, E G; Luzzatto, G

An attempt is made to extend to complex values of the angular momentum the idea of a representation of the rotation group R/sub 3/. Using the homeomorphism between the unitary unimodular group U/sub 2/ and R/sub 3/, a set of infinite matrices is built, each one singular at one pole of the sphere; they give back the usual rotation matrices for integer or half-integer values of the angular momentum. The product rules of these matrices are discussed, and the resulting structure is analyzed: it retains some but not all the properties of a group representation. (auth)

• Research Organization: Universita, Genoa; Istituto Nazionale di Nucleare, Genoa
• Sponsoring Organization: USDOE
• NSA Number: NSA-18-002604
• OSTI ID: 4147902
• Journal Information: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B, Vol. Vol: (10), 29; Other Information: Orig. Receipt Date: 31-DEC-64
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

PHYSICS
ANGULAR MOMENTUM
CONFIGURATION
ELEMENTARY PARTICLES
GROUP THEORY
MATRICES
MOMENTUM
ROTATION
SPHERES