110 citations
- City, University of LondonGB36 papers
- Nankai UniversityCN5 papers
- Scuola Internazionale Superiore di Studi AvanzatiIT4 papers
- University of OxfordGB4 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Humboldt-Universität zu BerlinDE3 papers
- Imperial College LondonGB3 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di TriesteIT3 papers
- St George's, University of LondonGB3 papers
- University of TriesteIT3 papers
- City St George's, University of LondonGB2 papers
- Harish-Chandra Research InstituteIN2 papers
5 papers · 1 filter
Quantum-classical diagnostics and Bohmian inequivalence for higher time-derivative Hamiltonians
Sanjib Dey, Andreas Fring
We develop a Bohmian analysis of a two-dimensional ghost Hamiltonian and its mapping to the degenerate Pais-Uhlenbeck model. Using Gaussian wavepackets, we derive the corresponding…
Spectrum-generating algebra and intertwiners of the resonant Pais-Uhlenbeck oscillator
Andreas Fring, Ian Marquette, Takano Taira
We study the quantum Pais-Uhlenbeck oscillator at the resonant (equal-frequency) point, where the dynamics becomes non-diagonalisable and the conventional Fock-space construction c…
Quantisations of exactly solvable ghostly models
Andreas Fring, Takano Taira, Bethan Turner
We investigate an exactly solvable two-dimensional Lorentzian coupled quantum system that in a certain parameter regime can be transformed to a higher time derivative theory (HTDT)…
Non-Hermitian Quantum Fermi Accelerator
Andreas Fring, Takano Taira
We exactly solve a quantum Fermi accelerator model consisting of a time-independent non-Hermitian Hamiltonian with time-dependent Dirichlet boundary conditions. A Hilbert space for…
Thermodynamics Quantities for the Klein-Gordon Equation with a Linear plus Inverse-linear Potential: Biconfluent Heun functions
Altug Arda, Cevdet Tezcan, Ramazan Sever
We study some thermodynamics quantities for the Klein-Gordon equation with a linear plus inverse-linear, scalar potential. We obtain the energy eigenvalues with the help of the qua…