# Standing waves with a critical frequency for nonlinear Schrï¿½dinger equations, II

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A manifestly covariant relativistic generation of the Lenz vector for the relativistic Kepler problem is constructed. The corresponding dynamical group for the bound state problem is SO(4,1).

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Focuses on the generalization of the Birman-Schwinger method. Derivation of a general upper bound on the number of bound states in the S wave for a spherically symmetric potential; Invention of the Birman-Schwinger method in order to put the Lippmann-Schwinger equation of scattering theory on...

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An algebraic methodâ€”based on a strategy that makes use of a realization of the algebra SO(2,1)â€”in terms of differential operators is used to solve the bound state problem for the most general Natanzon potentials for which the SchrÃ¶dinger equation can be reduced to hypergeometric...

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For the system consisting of a neutral Dirac particle with anomalous magnetic moment, interacting with a fixed magnetic monopole, zero-energy bound states are constructed for each possible value of the total angular momentum. Results of Kazama and Yang for the chargemonopole system are used to...

- Pohozaev obstructions on non-starlike domains. Jeff McGough; Jeff Mortensen // Calculus of Variations & Partial Differential Equations;Oct2003, Vol. 18 Issue 2, p189
This paper investigates the existence of a Pohozaev obstruction on non-starlike domains. The elliptic problems we examine are of the form $$\begin{array}{rl}\displaystyle \rm div\left\{\, g(x, \nabla u) \right\} + \lambda f(x,u) = 0, & x\in\Omega , \\\displaystyle u = 0, & x\in\partial\Omega ,...

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Examines the non-smooth solutions for a class of infinitely degenerate elliptic differential equations. Definition of notations; Establishment of the auxiliary lemmas; Construction of the explicit global non-smooth solutions.

- Optical and magneto-optical properties of Co(001)/Ge/Co sandwiches. Kang, S. S.; Jin, G. J.; Xu, X. N.; Hu, A.; Zhai, H. R.; Jiang, S. S.; Chen, Y.; Zhu, W. R.; Dong, G. S.; Zhou, S. M.; Jin, X.; Feng, J. W. // Applied Physics Letters;12/16/1996, Vol. 69 Issue 25, p3923
A series of bcc-Co(001)/Ge/Co trilayers was grown on a GaAs(001) substrate by the molecular beam epitaxy technique. The optical and magneto-optical properties of the samples were studied. An oscillatory variation of the magneto-optical Kerr effect (MOKE) with the thickness of the Ge spacers was...

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The authors study the regularity of solutions of the GFD-Stokes problem and of some second order linear elliptic partial differential equations related to the Primitive Equations of the ocean. The present work generalizes the regularity results in [18] by taking into consideration the...

- Inverse scattering by a local impurity in a periodic potential in one dimension. II. Newton, Roger G. // Journal of Mathematical Physics;Feb85, Vol. 26 Issue 2, p311
This paper continues and completes the solution to the inverse scattering problem initiated in a recent paper. It allows for the existence of bound states in the band gaps and corrects a number of errors in the first paper.