On the diagonalization of quadratic Hamiltonians

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.

Automated summary

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.