Natural Numbers and Quantum States in Fock Space
  We investigate the expression of natural numbers in any base from a quantum point of view. In particular, resorting to the one-to-one correspondence between natural numbers and Fock states, we construct a set of multiboson operators and a set of translation operators, whose action on the Fock states leads to the coefficients identifying a natural number in any base. 
Francesco A. Raffa and Mario Rasetti