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For a general complex scattering potential defined on a real line, we show that the equations governing invisibility of the potential are invariant under the combined action of parity and time-reversa...
PT symmetry and spontaneous symmetry breaking in a microwave billiard
PT symmetry spontaneous symmetry microwave billiard Quantum Physics
2011/10/9
Abstract: We demonstrate the presence of parity-time (PT) symmetry for the non-Hermitian two-state Hamiltonian of a dissipative microwave billiard in the vicinity of an exceptional point (EP). The sha...
Extending PT symmetry from Heisenberg algebra to E2 algebra
Extending PT symmetry Heisenberg algebra E2 algebra
2010/10/27
The E2 algebra has three elements, J, u, and v, which satisfy the commutation relations [u; J] = iv, [v; J] = iu, [u; v] = 0. We can construct the Hamiltonian H = J2 +gu, where g is a real p...
Generalized Nonanalytic Expansions,PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators
PT -symmetry asymptotics higher-order corrections instantons
2010/4/13
The concept of a generalized nonanalytic expansion which involves nonanalytic combinations of exponentials, logarithms and powers of a coupling is introduced and its use illustrated in various areas o...