Open AccessThe uncertainty relations and minimum uncertainty states
Author(s) -
Wei Deng,
Yunhua Xu,
Ping Liu
Publication year - 2003
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.52.2961
Subject(s) - uncertainty principle , hermitian matrix , state (computer science) , hilbert space , state vector , mathematics , pure mathematics , algebra over a field , discrete mathematics , physics , quantum mechanics , algorithm , quantum
Based upon some basic properties of Hermitian operators and Hilbert state vector s, the Heisenberg's uncertainty relations are analyzed in details. The necessary and sufficient condition for the minimum uncertainty states is re-obtained dire ctly from our proof. We propose also the problem of squeezed states for any coup le of dynamical variables, and solve it by using the bosonic creation and annihi lation operators.