Quantum Mechanical Image of Matrices' LDU Decomposition
Fan Hong‐Yi, Yuan Shao-Jie · Communications in Theoretical Physics · 2010
For classical transformation ( q 1 , q 2 ) → ( A q 1 + B q 2 , C q 1 + D q 2 ), where AD – CB ≠ 1, we find its quantum mechanical image by using LDU decomposition of the matrix . The explicit operators , , and Û are derived and their physical meaning is revealed, this also provides a new way for disentangling some exponential operators.