Expanding Hermitean Operators in a Basis of Projectors on Coherent Spin States

Abstract

The expectation values of a hermitean operator A in (2s+1)(2s+1) specific coherent states of a spin are known to determine the operator unambiguously. As shown here, (almost) any other (2s+1)(2s+1) coherent states also provide a basis for self-adjoint operators. This is proven by considering the determinant of the Gram matrix associated with the coherent state projectors as a Hamiltonian of a fictitious classical spin system.

Latex2e, 4 pages

References in corpus (4)

• Quantum Time Evolution in Terms of Nonredundant Expectation Values
• Reconstructing the density matrix of a spin s through Stern-Gerlach measurements (II)
• Discrete Q- and P-symbols for spin s
• A Discrete Phase-Space Calculus for Quantum Spins based on a Reconstruction Method using Coherent States

Cited by in corpus (1)

• Characterization of quantum angular-momentum fluctuations via principal components