Derives loop-quantum-corrected effective dynamics for spherical symmetry via path integral, yielding a black hole geometry with curvature singularity but no null geodesic incompleteness.
Kleinert, Path Integrals in Quantum Mechanics, Statistics
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A dissipative bath of harmonically bound anyon pairs is mapped to a bosonic bath with rescaled frequencies, yielding a temperature-dependent spectral density and relaxation dynamics for a coupled harmonic oscillator.
Presents explicit trans-series calculations for the double-well spectrum via exact WKB and path integral approaches up to four-instanton level.
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The quantum harmonic oscillator in a dissipative bath of anyon pairs
A dissipative bath of harmonically bound anyon pairs is mapped to a bosonic bath with rescaled frequencies, yielding a temperature-dependent spectral density and relaxation dynamics for a coupled harmonic oscillator.