1995/05/12 by Hyeong-Chan Kim, Minho Lee, Min-Ho Lee +3 · 1 citation
Physics and Astronomy · #Classical mechanics #Coherent states #Cold Atom Physics and Bose-Einstein Condensates #Eigenvalues and eigenvectors #Formalism (music) #Harmonic oscillator #Heisenberg picture #Invariant (physics) #Mathematical physics #Mechanical and Optical Resonators #Physics #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum harmonic oscillator #Quantum mechanics #Simple harmonic motion #Time evolution #quant-ph
paper · pdf · doi:10.1103/physreva.53.3767
published as Phys. Rev. A, 53 (1996) 3767. · 15 pages, two eps files, to appear in Phys. Rev. A 53 (6) (1996)
arxiv created 1995/05/12 · openalex publication_date 1996/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the Heisenberg picture, the generalized invariant and exact quantum motions are found for a time dependent forced harmonic oscillator. We find the eigenstate and the coherent state of the invariant and show that the dispersions of these quantum states do not depend on the external force. Our formalism is applied to two interesting cases. \textcopyright 1996 The American Physical Society.