5 papers
Effects of quenching protocols based on parametric oscillators
Mariagiovanna Gianfreda, Giulio Landolfi
We consider the problem of understanding the basic features displayed by quantum systems described by parametric oscillators whose time-dependent frequency parameter varies…
Scattering off PT-symmetric upside-down potentials
Carl M. Bender, Mariagiovanna Gianfreda
The upside-down , , and potentials with appropriate PT-symmetric boundary conditions have real, positive, and discrete quantum-mechanical spectra. This paper pro…
PT-Symmetric Model of Immune Response
Carl M. Bender, Ananya Ghatak, Mariagiovanna Gianfreda
The study of PT-symmetric physical systems began in 1998 as a complex generalization of conventional quantum mechanics, but beginning in 2007 experiments began to be published in w…
Non-autonomous Hamiltonian quantum systems, operator equations and representations of Bender-Dunne Weyl ordered basis under time-dependent canonical transformations
Mariagiovanna Gianfreda, Giulio Landolfi
We address the problem of integrating operator equations concomitant with the dynamics of non autonomous quantum systems by taking advantage of the use of time-dependent canonical…
Time-independent Hamiltonian for any linear constant-coefficient evolution equation
Carl M. Bender, Mariagiovanna Gianfreda, Nima Hassanpour +1
It is shown how to construct a time-independent Hamiltonian having only one degree of freedom from which an arbitrary linear constant-coefficient evolution equation of any order ca…