Trajectory-coherent states and the Heisenberg's uncertainty relation

1997/02/03 by A. G. Karavayev, A.G. Karavayev, Karavayev, A. G.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Spectral Theory in Mathematical Physics #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9702010

6 pages LaTex,no figures

arxiv created 1997/02/03 · openalex publication_date 1997/02/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we investigate the problem of minimization the Heisenberg's uncertainty relation by the trajectory-coherent states. The conditions of minimization for Hamiltonian and trajectory are obtained. We show that the trajectory-coherent states minimize the Heisenberg's uncertainty relation for special Cauchy problem for the Schrödinger equation only.

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