1.8k citations · 4k across the 40 of their papers we have counts for
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A non-perturbative method for time-dependent problems in quantum mechanics
Paolo Amore, Alfredo Aranda, Francisco Fernandez +1
A powerful method for calculating the eigenvalues of a Hamiltonian operator consists of converting the energy eigenvalue equation into a matrix equation by means of an appropriate…
On Pseudo-Hermitian Hamiltonians and Their Hermitian Counterparts
H. F. Jones
In the context of two particularly interesting non-Hermitian models in quantum mechanics we explore the relationship between the original Hamiltonian H and its Hermitian counterpar…
Semiclassical Calculation of the C Operator in PT-Symmetric Quantum Mechanics
Carl M. Bender, Hugh F. Jones
To determine the Hilbert space and inner product for a quantum theory defined by a non-Hermitian -symmetric Hamiltonian , it is necessary to construct a new time-i…
Scalar Quantum Field Theory with Cubic Interaction
Carl M. Bender, Dorje C. Brody, Hugh F. Jones
In this paper it is shown that an i phi^3 field theory is a physically acceptable field theory model (the spectrum is positive and the theory is unitary). The demonstration rests o…
Extension of PT-Symmetric Quantum Mechanics to Quantum Field Theory with Cubic Interaction
Carl M. Bender, Dorje C. Brody, Hugh F. Jones
It has recently been shown that a non-Hermitian Hamiltonian H possessing an unbroken PT symmetry (i) has a real spectrum that is bounded below, and (ii) defines a unitary theory of…