PT symmetry breaking and explicit expressions for the pseudo-norm in the Scarf II potential
G. Levai, F. Cannata, A. Ventura
Abstract
Closed expressions are derived for the pseudo-norm, norm and orthogonality relations for arbitrary bound states of the PT symmetric and the Hermitian Scarf II potential for the first time. The pseudo-norm is found to have indefinite sign in general. Some aspects of the spontaneous breakdown of PT symmetry are analysed.
Create a lesson
Related papers
Pinning of a High-Energy Wavepacket by a Single Impurity
Fartash Chalangari, Anant Vijay Varma, Joonas Keski-Rahkonen et al.
Loss-Tolerant Measurement-Device-Independent QKD over Untrusted Repeaters via High-Dimensional Time-Bin Multiplexing
Yu-Chun Yin, Ching-Yi Lai, Alexei Ashikhmin
Strong subadditivity of topological entropy on the torus: Rényi order and non-Abelian structure
Yi Liang
Advances in quantum optomechanical control based on cavity cold-atom systems
Baijun Li, Tianxiang Lu, Jie Wang et al.
Metric-Changing Quasi-Hermitian Quenches: Normalized Loschmidt Amplitude and Complex-Time Zeros
Xu-Yang Hou, Jia-Chen Tang, Hao Guo
Multi-Instantons and Exact-WKB Stokes Jumps in Multi-Well Quantum Mechanics
Alireza Behtash, Syo Kamata