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On the diagonalization of quadratic Hamiltonians

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Publication:5049483
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DOI10.1088/1751-8121/ac3da5zbMath1499.81041arXiv2109.11864OpenAlexW3217157793MaRDI QIDQ5049483

Ivan Gonoskov, Ville J. Härkönen

Publication date: 11 November 2022

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.11864

zbMATH Keywords

entanglementcoupled harmonic oscillatorsquadratic Hamiltonian


Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)




Cites Work

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  • Dynamics of entanglement and uncertainty relation in coupled harmonic oscillator system: exact results
  • Dynamics of entanglement in three coupled harmonic oscillator system with arbitrary time-dependent frequency and coupling constants
  • Entanglement in three coupled harmonic oscillators
  • Factorization method and new potentials from the inverted oscillator
  • Entanglement in many-body systems
  • INTRODUCTION TO THE BASICS OF ENTANGLEMENT THEORY IN CONTINUOUS-VARIABLE SYSTEMS
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