M. Toller, QUANTUM REFERENCE FRAMES AND QUANTUM TRANSFORMATIONS, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 112(7), 1997, pp. 1013-1026
A quantum frame is defined by a material object following the laws of
quantum mechanics. The present paper studies the relations between qua
ntum frames, which are described by some generalization of the Poincar
e group. The possibility of using a suitable quantum group is examined
, but some arguments are given which show that a different mathematica
l structure is necessary. Some simple examples in lower-dimensional sp
ace-times are treated. They indicate the necessity of taking into acco
unt some ''internal'' degrees of freedom of the quantum frames, that c
an be disregarded in a classical treatment.