Intermediate quantum statistics for identical objects
Methods to construct various algebras of creation and annihilation operators of physical objects in complex quantum state spaces with a nonnegative metric are proposed. All allowed algebras for the case of identical nonrelativistic systems in the second quantization of the Schrödinger equation, of identical quanta of relativistic tensor fields, and of identical quanta of relativistic spinor fields are constructed. A comparison of the obtained algebras with the well-known algebras of this type (Fermi, Bose, para-Fermi, and superalgebras) is given.
algebras of creation and annihilation operators
complex quantum state spaces with a nonnegative metric
second quantization of the Schrödinger equation
identical quanta of relativistic tensor fields
identical quanta of relativistic spinor fields
scientific article; zbMATH DE number 4086352