1.8k citations · 4k across the 40 of their papers we have counts for
40 papers
Scattering states and bound states of exponential potentials
Zafar Ahmed, H F Jones
We explore the relationships between scattering states and bound states of different non-analytic segments (depending on ) of the exponential potential, and elucidate the stat…
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…
An angle on invisibility
H. F. Jones, M. Kulishov
The -symmetric optical grating with index profile has been shown to have the interesting property of being essentially invisible for light incident from one side, whi…
Analysis of unidirectional non-paraxial invisibility of purely reflective PT-symmetric volume gratings
Mykola Kulishov, H. F. Jones, Bernard Kress
We study the diffraction produced by a slab of purely reflective PT-symmetric volume Bragg grating that combines modulations of refractive index and gain/loss of the same periodici…
Calculation of low-lying energy levels in quantum mechanics
Carl M. Bender, Hugh F. Jones
This paper proposes a very simple perturbative technique to calculate the low-lying eigenvalues and eigenstates of a parity-symmetric quantum-mechanical potential. The technique is…
The Floquet Method for -symmetric Periodic Potentials
H. F. Jones
By the general theory of -symmetric quantum systems, their energy levels are either real or occur in complex-conjugate pairs, which implies that the secular equation must be re…