The uniqueness question in the multidimensional moment problem with applications to phase space observables
量子物理
2009-11-07 v1
摘要
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.
引用
@article{arxiv.quant-ph/0108059,
title = {The uniqueness question in the multidimensional moment problem with applications to phase space observables},
author = {Anatolij Dvurecenskij and Pekka Lahti and Kari Ylinen},
journal= {arXiv preprint arXiv:quant-ph/0108059},
year = {2009}
}
备注
13 pages, submitted to Reports on Mathematical Physics