Space adiabatic perturbation theory applied to homogeneous oscillator models shows that backreactions add correction terms to effective Hamiltonians neglected in the Born-Oppenheimer approximation.
$L^p$-Spectrum of the Schr\"odinger Operator with Inverted Harmonic Oscillator Potential
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abstract
We determine the $L^p$-spectrum of the Schr\"odinger operator with the inverted harmonic oscillator potential $V(x)=-x^2$ for $1 \leq p \leq \infty$.
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gr-qc 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Quantum Cosmological Backreactions II: Purely Homogeneous Quantum Cosmology
Space adiabatic perturbation theory applied to homogeneous oscillator models shows that backreactions add correction terms to effective Hamiltonians neglected in the Born-Oppenheimer approximation.