منابع مشابه
Remarks on the Extended Characteristic Uncertainty Relations
In the recent papers [1, 2] the conventional uncertainty relation (UR) of Robertson [5] (which includes the Heisenberg and Schrödinger UR [4] as its particular cases) have been extended to all characteristic coefficients of the uncertainty matrix [2] and to the case of several states [1]. In this letter we present three remarks on these extended characteristic URs. The first remark refers to th...
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New uncertainty relations for n observables are established. The relations take the invariant form of inequalities between the characteristic coefficients of order r, r = 1, 2,. .. , n, of the uncertainty matrix and the matrix of mean commuta-tors of the observables. It is shown that the second and the third order characteristic inequalities for the three generators of SU (1, 1) and SU (2) are ...
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General algebraic properties of the algebras of vector fields over quantum linear groups GLq(N) and SLq(N) are studied. These quantum algebras appears to be quite similar to the classical matrix algebra. In particular, quantum analogues of the characteristic polynomial and characteristic identity are obtained for them. The qanalogues of the Newton relations connecting two different generating s...
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A scheme for construction of uncertainty relations (UR) for n observables and m states is presented. Several lowest order UR are displayed and briefly discussed. For two states |ψ〉 and |φ〉 and canonical observables the (entangled) extension of Heisenberg UR reads [∆p(ψ)][∆q(φ)]+[∆p(φ)][∆q(ψ)] ≥ 1/2. Some possible applications of the new inequalities are noted.
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1998
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/31/39/016