Miloslav Znojil 2008 J. Phys. A: Math. Theor. 41 215304 doi:10.1088/1751-8113/41/21/215304
Identification of observables in quantum toboggans
Miloslav Znojil
Show affiliationsSchrödinger equations for 'quantum toboggans' with real energies are given the generalized eigenvalue-problem form Hψ = EWψ, where H ≠ H† and W ≠ W† ≠ I. The consistent probabilistic interpretation of these models is provided. The new double-series formula for the necessary ad hoc metric Θ = Θ(H, W) is derived which defines the acceptable inner products in the physical Hilbert space of states. The formula degenerates to the usual single series in the non-tobogganic trivial-weight limit W → I.
- PACS
- MSC
- Subjects
- Dates
-
Issue 21 (30 May 2008)
Received 4 March 2008, in final form 15 April 2008
Published 8 May 2008
-
Identification of observables in quantum toboggans
Miloslav Znojil 2008 J. Phys. A: Math. Theor. 41 215304
-
Semiconductor to metal transition in SWNTs caused by interaction with gold and platinum nanoparticles
Rakesh Voggu et al 2008 J. Phys.: Condens. Matter 20 215211
-
Charge renormalization, effective interactions, and thermodynamics of deionized colloidal suspensions
A R Denton 2008 J. Phys.: Condens. Matter 20 494230
-
Pulsed-field magnetization of drilled bulk high-temperature superconductors: flux front propagation in the volume and on the surface
Gregory P Lousberg et al 2009 Supercond. Sci. Technol. 22 125026
-
Origin of the colossal positive and negative thermal expansion in Ag3[Co(CN)6]: an ab initio density functional theory study
Mark Calleja et al 2008 J. Phys.: Condens. Matter 20 255226
-
Ab initio study on the thermal properties of the fcc Al3Mg and Al3Sc alloys
Dong-Lin Li et al 2009 J. Phys. D: Appl. Phys. 42 225407
-
Planar Metamaterial Microwave Absorber for all Wave Polarizations
Zhu Bo et al 2009 Chinese Phys. Lett. 26 114102
-
Analytic propagators for spin–orbit interactions
Bailey C Hsu and Jean-François S Van Huele 2009 J. Phys. A: Math. Theor. 42 475304
-
The influence of magnetic islands on drift mode stability in magnetized plasma
H R Wilson and J W Connor 2009 Plasma Phys. Control. Fusion 51 115007
-
On the generation of anomalous diffusion
Iddo Eliazar and Joseph Klafter 2009 J. Phys. A: Math. Theor. 42 472003
Users also read
What's this?- Hannay angle and geometric phase shifts under adiabatic parameter changes in classical dissipative systems
- One-dimensional anyons with competing δ-function and derivative δ-function potentials
-
Discrete
-symmetric models of scattering
Related review articles
What's this?- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
- Lectures on localization and matrix models in supersymmetric Chern–Simons-matter theories
- Exact superconformal and Yangian symmetry of scattering amplitudes