IRREDUCIBLE REPRESENTATIONS OF THE HEISENBERG ALGEBRA IN KREIN SPACES

The representations of the Heisenberg algebra in Krein spaces, more ge nerally in weakly complete inner product spaces, are classified under general regularity and irreducibility conditions. Besides the Fock rep resentation, two other types appear; one with negative, the other with a two-sided discrete spectrum of the number operator. (C) 1998 Americ an Institute of Physics.