Characteristic uncertainty relations

Abstract

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 commutators 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 minimized in the corresponding group-related coherent states with maximal symmetry.

8 pages, LaTex, no figures. To appear in J. Phys. A

References in corpus (3)

• SU(2) and SU(1,1) algebra eigenstates: A unified analytic approach to coherent and intelligent states
• Robertson Intelligent States
• Algebraic Coherent States and Squeezing

Cited by in corpus (14)

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• Remarks on the Extended Characteristic Uncertainty Relations
• Structure of the density matrix providing the minimum of generalized uncertainty relation for mixed states
• Optimal Spin Squeezed Steady State induced by the dynamics of non-hermtian hamiltonians
• Uncertainty relations in quantum optics. Is the photon intelligent?
• The Uncertainty Way of Generalization of Coherent States
• Uncertainty Relations in Deformation Quantization
• Quantum Uncertainty and Entropy
• Single-qubit measurement of Heisenberg uncertainty lower bounds for three incompatible observables
• Diagonalization of Hamiltonians, uncertainty matrices and Robertson inequality