Published December 1983
| Version v1
Journal article
Exponential lower bounds to solutions of the Schroedinger equation: Lower bounds for the spherical average
Description
For a large class of generalized N-body-Schroedinger operators, H, we show that if E<Σ=infsigmasub(ess)(H) and psi is an eigenfunction of H with eigenvalue E, then lim R-1ln(∫vertical strokepsi(Rω)vertical stroke2dω)sup(1/2)=-α0, with α02+E a threshold. Similar results are given for E>=Σ. (orig./WL)
Additional details
Publishing Information
- Journal Title
- Commun. Math. Phys.
- Journal Volume
- 92
- Journal Issue
- 1
- Series
- CODEN: CMPHA.;Commun. Math. Phys.
- Journal Page Range
- 71-80
- ISSN
- 0010-3616
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 15010902
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANALYTICAL SOLUTION; EIGENFUNCTIONS; EIGENVALUES; EXPECTATION VALUE; HAMILTONIANS; LIMITING VALUES; MANY-BODY PROBLEM; SCHROEDINGER EQUATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; WAVE EQUATIONS