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arXiv quant-ph/9907101quant-ph
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相干自旋态上厄米算符的投影基展开

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

Stefan Weigert

摘要:

已知在自旋的(2s+1)(2s+1)个特定相干态中厄米算符A的期望值,以明确地确定算符。如图所示,(几乎)任何其他(2s+1)(2s+1)相干态也为自伴算符提供了基础。这是证明考虑与相干态投影作为一个虚构的经典自旋系统的哈密顿量的格拉姆矩阵的行列式。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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