23 citations · 81 across the 8 of their papers we have counts for
8 papers
Real energies and Berry phases in all PT-regimes in time-dependent non-Hermitian theories
Andreas Fring, Takanobu Taira, Rebecca Tenney
We demonstrate that the existence of a Hermitian time-dependent intertwining operator that maps the non-Hermitian time-dependent energy operator to its Hermitian conjugate and its…
Lewis-Riesenfeld invariants for PT-symmetrically coupled oscillators from two dimensional point transformations and Lie algebraic expansions
Andreas Fring, Rebecca Tenney
We construct Lewis-Riesenfeld invariants from two dimensional point transformations for two oscillators that are coupled to each other in space in a PT-symmetrical and time-depende…
Time-dependent C-operators as Lewis-Riesenfeld invariants in non-Hermitian theories
Andreas Fring, Takanobu Taira, Rebecca Tenney
-operators were introduced as involution operators in non-Hermitian theories that commute with the time-independent Hamiltonians and the parity/time-reversal operator. He…
Infinite series of time-dependent Dyson maps
Andreas Fring, Rebecca Tenney
We propose and explore a scheme that leads to an infinite series of time- dependent Dyson maps which associate different Hermitian Hamiltonians to a uniquely specified time-depende…
Exactly solvable time-dependent non-Hermitian quantum systems from point transformations
Andreas Fring, Rebecca Tenney
We demonstrate that complex point transformations can be used to construct non-Hermitian first integrals, time-dependent Dyson maps and metric operators for non-Hermitian quantum s…
Perturbative approach for strong and weakly coupled time-dependent non-Hermitian quantum systems
Andreas Fring, Rebecca Tenney
We propose a perturbative approach to determine the time-dependent Dyson map and the metric operator associated with time-dependent non-Hermitian Hamiltonians. We apply the method…
Spectrally equivalent time-dependent double wells and unstable anharmonic oscillators
Andreas Fring, Rebecca Tenney
We construct a time-dependent double well potential as an exact spectral equivalent to the explicitly time-dependent negative quartic oscillator with a time-dependent mass term. De…
Time-independent approximations for time-dependent optical potentials
Andreas Fring, Rebecca Tenney
We explore the possibility of modifying the Lewis-Riesenfeld method of invariants developed originally to find exact solutions for time-dependent quantum mechanical systems for the…