Hypercontractivity for anharmonic oscillators

DOI10.1016/0022-1236(74)90057-3zbMath0285.47032OpenAlexW1969552056MaRDI QIDQ1845369

Yanyan Li

Publication date: 1974

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(74)90057-3

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) General theory of partial differential operators (47F05)

Related Items (13)

Dirichlet Forms Associated with Hypercontractive Semigroups ⋮ Regularity properties of Schrödinger and Dirichlet semigroups ⋮ Unnamed Item ⋮ Logarithmic Sobolev inequalities and hypercontractive estimates on the circle ⋮ Compact Sobolev imbeddings on finite measure spaces ⋮ Capacity and quantum mechanical tunneling ⋮ Dirichlet forms and diffusion processes on rigged Hilbert spaces ⋮ Schrödinger semigroups ⋮ Pointwise bounds for Schrödinger eigenstates ⋮ Regularization of Hamiltonians and processes ⋮ Remarks on the stochastic process corresponding to \((1/\phi^ 2)_ 1\) interaction ⋮ Sobolev Inequalities for Weight Spaces and Supercontractivity ⋮ Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians

Cites Work

• Unnamed Item
• The free Markoff field
• Boson fields with nonlinear selfinteraction in two dimensions
• Existence and uniqueness of physical ground states
• Hypercontra ctive semigroups and two dimensional self-coupled Bose fields
• Logarithmic Sobolev Inequalities
• Invariant Cones and Uniqueness of the Ground State for Fermion Systems

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