"Multiplicative functions, Dirichlet convolution, and quantum
systems"
Donald Spector
(from Physics Letters A 140, No. 6 (1989) 311-316)
Abstract. "The number theoretic notions of multiplicative functions
and of Dirichlet convolution are shown to have natural physical
interpretations in the context of certain quantum systems, the prototype
of which is Einstein's oscillator model of solids. Various number
theoretic results are obtained using physical insights, and Dirichlet
convolution is shown to correspond to the loss of information when
distinguishable excitations are treated as indistinguishable. An
especially appealing feature is that the concepts involved are both
mathematically fundamental and physically natural."
archive
tutorial
mystery
new
search
home
contact
|