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pro vyhledávání: '"Richard Lavine"'
Autor:
Richard Lavine
Publikováno v:
Electronic Journal of Differential Equations, Vol Conference, Iss 04, Pp 155-158 (2000)
We consider the problem of determining the probability distribution for the time of decay for a one-dimensional Schrodinger operator.
Externí odkaz:
https://doaj.org/article/e18727eba5a94c77a756d4d8e6f13dae
Autor:
Richard Lavine
Publikováno v:
Recent Advances in Differential Equations and Mathematical Physics. :227-237
Publikováno v:
The Journal of the American Dental Association. 135:84-89
Background A healthy dentist is one of the most important ingredients in a successful dental practice, an ingredient not to be taken for granted. Professionals, dentists included, can and do experience illnesses and problems that can disrupt or impai
Autor:
Richard Lavine, Florin Catrina
Publikováno v:
Communications in Contemporary Mathematics. :529-545
In this paper we prove the exact cut-off between existence and nonexistence of radial solutions in a class of problems of the Brezis–Nirenberg type. We obtain this by studying the existence/nonexistence of positive solutions in [Formula: see text]
Autor:
Richard Lavine
Publikováno v:
Reviews in Mathematical Physics. 13:267-305
For a Schrödinger operator H on the half line whose potential has a trapping barrier, and is convex outside the barrier, there exists a φ, supported mostly inside the barrier, such that for t>0, -iHtφ>~e-izt up to a small error, where φ is obtain
Autor:
Richard Lavine
Publikováno v:
Proceedings of the American Mathematical Society. 121:815-821
For Schrödinger operators on an interval with convex potentials, the gap between the two lowest eigenvalues is minimized when the potential is constant.
Autor:
Claudio Fernández, Richard Lavine
Publikováno v:
Comm. Math. Phys. 128, no. 2 (1990), 263-284
Explicit lower bounds are given for the size of the imaginary parts of resonances for Schrodinger operators with non-trapping or trapping potentials, and for the Dirichlet Laplacian in the exterior of a star-shaped obstacle, both acting in three dime
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0102ca9856b1d203df9d2fd9b7670ff2
http://projecteuclid.org/euclid.cmp/1104180431
http://projecteuclid.org/euclid.cmp/1104180431
Autor:
Richard Lavine, Martin Feinberg
Publikováno v:
Archive for Rational Mechanics and Analysis. 82:203-293
Autor:
Richard Lavine, William G. Faris
Publikováno v:
Communications in Mathematical Physics. 35:39-48
A time dependent approach to self-adjointness is presented and it is applied to quantum mechanical Hamiltonians which are not semi-bounded. Sufficient conditions are given for self-adjointness of Schrodinger and Dirac Hamiltonians with potentials whi
Autor:
Richard Lavine, Michael O'Carroll
Publikováno v:
Journal of Mathematical Physics. 18:1908-1912
The Hamiltonian H (B), for a particle of mass μ and charge e in a uniform magnetic field of strength B in the z direction and an external axially symmetric potential V, is a direct sum of operators H (m,B) acting in the subspace of eigenvalue m of t