Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 55, Issue 1, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1751-8121/ac3da5
Keywords
quadratic Hamiltonian; coupled harmonic oscillators; entanglement
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A new method for diagonalizing quadratic Hamiltonians is introduced by changing the frame of reference through a unitary transformation. The paper presents a general approach for diagonalizing any quadratic Hamiltonian and provides detailed derivations for several simplest special cases.
A new procedure to diagonalize quadratic Hamiltonians is introduced. We show that one can establish the diagonalization of a quadratic Hamiltonian by changing the frame of reference by a unitary transformation. We give a general method to diagonalize an arbitrary quadratic Hamiltonian and derive a few of the simplest special cases in detail.
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