Experiments in PT-symmetric quantum mechanics

Abstract

Extended quantum mechanics using non-Hermitian, pseudo-Hermitian Hamiltonians is briefly reviewed. Supersymmetric regularizations, solvable simulations and large-N expansion techniques are recollected as suitable means for the study of non-local quasi-particles. Their many-particle or even, perhaps, unstable and decaying generalizations are also considered. Picking up the Klein-Gordon equation and its Feshbach-Villars' Hamiltonian for definiteness, we argue that the PT symmetry might help to clarify experimental aspects of relativistic quantum mechanics.

talk presented during the 1st Int. Workshop ``Pseudo-Hermitian Hamiltonians in Quantum Physics" (Prague, June 16-17, 2003)(revised: 7 pages)

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Cited by in corpus (12)

• Collider aspects of flavour physics at high Q
• Bound state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry
• Solvable PT-symmetric model with a tunable interspersion of non-merging levels
• Solvability and PT-symmetry in a double-well model with point interactions
• Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation
• A Positive-Definite Scalar Product for Free Proca Particle
• Pseudo-Hermitian approach to energy-dependent Klein-Gordon models
• Kurt Symanzik - a stable fixed point beyond triviality
• PT-symmetric regularizations in supersymmetric quantum mechanics
• p-Adic Schrödinger-Type Operator with Point Interactions
• On some meaningful inner product for real Klein-Gordon fields with positive semi-definite norm
• The effective potential and resummation procedure to multidimensional complex cubic potentials for weak and strong-coupling