Premium
Quantum phenomena via complex measure: Holomorphic extension
Author(s) -
Srinivasan S.K.
Publication year - 2006
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200610303
Subject(s) - measure (data warehouse) , holomorphic function , density matrix , mathematics , extension (predicate logic) , quantum , matrix (chemical analysis) , quantum tomography , quantum mechanics , statistical physics , pure mathematics , physics , quantum state , computer science , database , programming language , materials science , composite material
The complex measure theoretic approach proposed earlier is reviewed and a general version of density matrix as well as conditional density matrix is introduced. The holomorphic extension of the complex measure density (CMD) is identified to be the Wigner distribution function of the conventional quantum mechanical theory. A variety of situations in quantum optical phenomena are discussed within such a holomorphic complex measure theoretic framework. A model of a quantum oscillator in interaction with a bath is analyzed and explicit solution for the CMD of the coordinate as well as the Wigner distribution function is obtained. A brief discussion on the assignment of probability to path history of the test oscillator is provided.