Tunneling for spatially cut-off \(P(\phi)_2\)-Hamiltonians
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Publication:1760175
DOI10.1016/j.jfa.2012.08.017zbMath1257.81027arXiv1104.0486OpenAlexW1843592934MaRDI QIDQ1760175
Publication date: 13 November 2012
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.0486
Model quantum field theories (81T10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
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Cites Work
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- Semiclassical analysis of low lying eigenvalues. II: Tunneling
- Semi-classical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space. II: \(P(\phi)_2\)-model on a finite volume
- Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. V: Lower bounds and path integrals
- Gaussian measures in Banach spaces
- On the skeleton and the Malliavin derivatives of holomorphic functions on a complex Wiener space
- Semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiener space.
- On a certain semiclassical problem on Wiener spaces
- Spectral and scattering theory of spatially cut-off \(P(\varphi)_2\) Hamiltonians
- Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
- On the spectrum of semi-classical Witten-Laplacians and Schrödinger operators in large dimension
- Trace formulas, a Golden-Thompson inequality and classical limit in boson Fock space
- Semi-classical limit of the bottom of spectrum of a Schrödinger operator on a path space over a compact Riemannian manifold
- A theorem of the Phragmen-Lindelöf type for second-order elliptic operators
- Boson fields with nonlinear selfinteraction in two dimensions
- Construction of nonlinear local quantum processes. I
- Hypercontra ctive semigroups and two dimensional self-coupled Bose fields
- Multiple wells in the semi-classical limit I
- Logarithmic Sobolev Inequalities
- Splitting in large dimension and infrared estimates. II. Moment inequalities
- On the small balls problem for equivalent Gaussian measures
- The double-well splitting of the low energy levels for the Schrödinger operator of discrete φ4-models on tori
- Partially Alternate Derivation of a Result of Nelson
- An estimate of the gap of spectrum of Schrödinger operators which generate hyperbounded semigroups
