1.8k citations · 6.6k across the 123 of their papers we have counts for
10 papers · 1 filter
Six-dimensional space-time from quaternionic quantum mechanics
Dorje C. Brody, Eva-Maria Graefe
Quaternionic quantum Hamiltonians describing nonrelativistic spin particles require the ambient physical space to have five dimensions. The quantum dynamics of a spin-1/2 particle…
PT-symmetric quantum state discrimination
Carl M. Bender, Dorje C. Brody, Joao Caldeira +1
Suppose that a system is known to be in one of two quantum states, or . If these states are not orthogonal, then in conventional quantum mechanics it is impossibl…
Dequantisation of the Dirac Monopole
Dorje C. Brody
Using a sheaf-theoretic extension of conventional principal bundle theory, the Dirac monopole is formulated as a spherically symmetric model free of singularities outside the origi…
Geometry of PT-symmetric quantum mechanics
Carl M. Bender, Dorje C. Brody, Lane P. Hughston +1
Recently, much research has been carried out on Hamiltonians that are not Hermitian but are symmetric under space-time reflection, that is, Hamiltonians that exhibit PT symmetry. I…
Equivalence of a Complex $\cP\cT$-Symmetric Quartic Hamiltonian and a Hermitian Quartic Hamiltonian with an Anomaly
Carl M. Bender, Dorje C. Brody, Jun-Hua Chen +3
In a recent paper Jones and Mateo used operator techniques to show that the non-Hermitian $\cP\cT$-symmetric wrong-sign quartic Hamiltonian $H=\half p^2-gx^4$ has the same spectrum…
Twistor cosmology and quantum space-time
Dorje C. Brody, Lane. P. Hughston
The purpose of this paper is to present a model of a quantum space-time in which the global symmetries of space-time are unified in a coherent manner with the internal symmetries a…
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…
Must a Hamiltonian be Hermitian?
Carl M. Bender, Dorje C. Brody, Hugh F. Jones
A consistent physical theory of quantum mechanics can be built on a complex Hamiltonian that is not Hermitian but instead satisfies the physical condition of space-time reflection…
On the Symmetry of Real-Space Renormalisation
D. C. Brody, A. Ritz
A natural geometry, arising from the embedding into a Hilbert space of the parametrised probability measure for a given lattice model, is used to study the symmetry properties of r…