2022/06/03 by Arindam Chakraborty, Chakraborty, Arindam
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics
paper · pdf · doi:10.48550/arxiv.2206.01472
A new kind of symmetry called partial PT symmetry has been considered for non-hermitian quadratic boson operators obtained from a bi-orthogonal set of vectors in C2. The symmetry behaviour has been understood in Fock space considered as a Reproducing Kernel Hilbert Space(RKHS). The reality of eigenvalues and its connection to the possibility of the aforesaid symmetry (and symmetry breaking) are studied in terms of a deformation parameter responsible for nonhermiticity