Atabak Fathe Jalali

Quantum mechanics with a ghost: Counterexamples to spectral denseness

Cédric Deffayet, Atabak Fathe Jalali, Aaron Held, Shinji Mukohyama et autres

We quantise integrable point-particle systems with opposite-sign kinetic terms and nontrivial interactions. Using methods from separability theory, we show that previously determined classical stability conditions also imply discrete separated eigenvalue spectra. The resulting energy spectrum is unbounded above and below but not …

Unitary Time Evolution and Vacuum for a Quantum Stable Ghost

Cédric Deffayet, Atabak Fathe Jalali, Aaron Held, Shinji Mukohyama et autres

We quantize a classically stable system of a harmonic oscillator polynomially coupled to a ghost with negative kinetic energy. We prove that due to an integral of motion with a positive discrete spectrum: i) the Hamiltonian has a pure point spectrum unbounded …

Unitary Time Evolution and Vacuum for a Quantum Stable Ghost

Cédric Deffayet, Atabak Fathe Jalali, Aaron Held, Shinji Mukohyama et autres

We quantize a classically stable system of a harmonic oscillator polynomially coupled to a ghost with negative kinetic energy. We prove that due to an integral of motion with a positive discrete spectrum: i) the Hamiltonian has a pure point spectrum unbounded …

Burundi, fr, at, jp (code pays fourni par la source)

Quantum mechanics with a ghost: Counterexamples to spectral denseness

Cédric Deffayet, Atabak Fathe Jalali, Aaron Held, Shinji Mukohyama et autres

We quantise integrable point-particle systems with opposite-sign kinetic terms and nontrivial interactions. Using methods from separability theory, we show that previously determined classical stability conditions also imply discrete separated eigenvalue spectra. The resulting energy spectrum is unbounded above and below but not …

Burundi, fr, at, jp (code pays fourni par la source)