An exact operator conservation law from canonical commutation relations bounds second moments of a ghost-coupled oscillator for all time and states, preventing quantum runaway.
Unitary Time Evolution and Vacuum for a Quantum Stable Ghost
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
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 in both directions, ii) the evolution is manifestly unitary, iii) the vacuum is well-defined, iv) expectation values for squares of canonical variables are bounded. Numerical solutions of the Schr\"odinger equation confirm these results. We argue that the discrete spectrum of the integral of motion enforces stability for extended interactions.
years
2026 3verdicts
UNVERDICTED 3representative citing papers
A resonant ghostly 3D Pais-Uhlenbeck oscillator exhibits non-diagonalisable classical flow with Jordan chains of length three and a hidden u(2,1) spectrum-generating algebra upon quantization, with tri-Hamiltonian geometry but no positive-definite linear combination.
Vector modes in Type 3 New GR are non-dynamical; substituting constraints into the Lagrangian produces incorrect claims of dynamics.
citing papers explorer
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Ghost Degrees of Freedom Without Quantum Runaway: Exact Moment Bounds from an Operator Conservation Law
An exact operator conservation law from canonical commutation relations bounds second moments of a ghost-coupled oscillator for all time and states, preventing quantum runaway.
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Hidden $\mathfrak{u}(2,1)$ symmetry and Jordan chains in a resonant ghostly three-dimensional model
A resonant ghostly 3D Pais-Uhlenbeck oscillator exhibits non-diagonalisable classical flow with Jordan chains of length three and a hidden u(2,1) spectrum-generating algebra upon quantization, with tri-Hamiltonian geometry but no positive-definite linear combination.
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Vector modes in Type 3 New GR
Vector modes in Type 3 New GR are non-dynamical; substituting constraints into the Lagrangian produces incorrect claims of dynamics.