Physics – Quantum Physics
Scientific paper
2001-08-13
Physics
Quantum Physics
13 pages, submitted to Reports on Mathematical Physics
Scientific paper
10.1016/S0034-4877(02)80044-1
The theory of holomorphic functions of several complex variables is applied in proving a multidimensional variant of a theorem involving an exponential boundedness criterion for the classical moment problem. A theorem of Petersen concerning the relation between the multidimensional and one-dimensional moment problems is extended for half-lines and compact subsets of the real line. These results are used to solve the moment problem for the quantum phase space observables generated by the number states.
Dvurecenskij Anatolij
Lahti Pekka
Ylinen Kari
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