Results 31 to 40 of about 292 (68)

On the eigenproblems of PT-symmetric oscillators

, 2000
We consider the non-Hermitian Hamiltonian H= -\frac{d^2}{dx^2}+P(x^2)-(ix)^{2n+1} on the real line, where P(x) is a polynomial of degree at most n \geq 1 with all nonnegative real coefficients (possibly P\equiv 0).
Bagchi B., Bender C. M., Bender C. M., Bender C. M., Bender C. M., Bender C. M., Bender C. M., Blencowe M. P., Caliceti E., Caliceti E., de Castro A. S., Delabaere E., Gundersen G. G., Hatano N., Hatano N., K. C. Shin, Mezincescu G. A., Mustafa O., Nelson D. R.   +18 more
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A port-reduced static condensation reduced basis element method for large component-synthesized structures: approximation and A Posteriori error estimation [PDF]

, 2016
Background: We consider a static condensation reduced basis element framework for efficient approximation of parameter-dependent linear elliptic partial differential equations in large three-dimensional component-based domains.
Eftang, Jens Lohne, Patera, Anthony T.
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Static and dynamic properties of shell-shaped condensates [PDF]

, 2018
Static, dynamic, and topological properties of hollow systems differ from those that are fully filled as a result of the presence of a boundary associated with an inner surface. Hollow Bose-Einstein condensates (BECs) naturally occur in various ultracold
Lannert, Courtney, Padavić, Karmela, Sun, Kuei, Vishveshwara, Smitha, Yang, Frances   +4 more
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Scalar and vector Slepian functions, spherical signal estimation and spectral analysis

, 2013
It is a well-known fact that mathematical functions that are timelimited (or spacelimited) cannot be simultaneously bandlimited (in frequency). Yet the finite precision of measurement and computation unavoidably bandlimits our observation and modeling ...
A Albertella, A Amirbekyan, A Hanssen, A Messiah, A Plattner, A Plattner, A Schuster, AD Chave, AR Edmonds, C Gerhards, C Harig, CD Beggan, CJR Sheppard, CT Mullis, D Slepian, D Slepian, D Slepian, D Slepian, D Slepian, D Slepian, DA Varshalovich, DB Percival, DC Slobbe, DJ Thomson, DJ Thomson, DJ Wingham, DL Donoho, DR Cox, E Hivon, EN Gilbert, EW Grafarend, FA Dahlen, FA Dahlen, FA Grünbaum, FG Tricomi, FJ Simons, FJ Simons, FJ Simons, FJ Simons, FJ Simons, FJ Simons, FJ Simons, G Hinshaw, GD Villiers de, H Maniar, HJ Landau, HJ Landau, HJ Landau, I Daubechies, I Daubechies, I Daubechies, JR Bond, JS Bendat, K Hesse, K Jahn, K Jahn, K Jahn, K Yao, KS Riedel, KW Lewis, L Cohen, L Knox, LP Grishchuk, M Eshagh, M Tegmark, M Tegmark, MA Blanco, MA Wieczorek, MA Wieczorek, MA Wieczorek, MG Hauser, MK Paul, MZ Nashed, N Olsen, P Flandrin, P Xu, P Xu, PJE Peebles, PP Mitra, RA Kennedy, RC Aster, RH Jones, S Mallat, S-C Han, SP Oh, TJ Sabaka, TP Bronez, V Michel, W Freeden, W Freeden, W Freeden, W Freeden, W Freeden, WM Kaula, Y Shkolnisky, Z Martinec   +95 more
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Orthogonal matrix polynomials and applications [PDF]

, 1996
Orthogonal matrix polynomials, on the real line or on the unit circle, have properties which are natural generalizations of properties of scalar orthogonal polynomials, appropriately modified for the matrix calculus.
Ann Sinap, Walter Van Assche, Ammar, Arbenz, Berezanskii, Chihara, Delsarte, Durán, Geronimo, Geronimo, Gohberg, Golub, Gragg, Gragg, Horn, Jones, Jones, Jones, Jones, Kailath, Kailath, Marcellán Español, Marcellán, Mhaskar, Nikishin, Nikishin, Pan, Pan, Rodman, Sinap, Sinap, Sinap, Szegő, Van Assche, Winget, Youla   +35 more
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A lower bound for nodal count on discrete and metric graphs

, 2006
According to a well-know theorem by Sturm, a vibrating string is divided into exactly N nodal intervals by zeros of its N-th eigenfunction. Courant showed that one half of Sturm's theorem for the strings applies to the theory of membranes: N-th ...
A.M. Duval, E.B. Davies, G. Blum, Gregory Berkolaiko, H. Herrmann, J. Friedman, J. Miller, L. Friedlander, M. Fiedler, P. Kuchment, P. Schapotschnikow, R. Band, S. Gnutzmann, S. Gnutzmann, T. Bıyıkoğlu, T. Kottos, Y. Colin de Verdière, Å. Pleijel   +17 more
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Physical degrees of freedom in stabilized brane world models

, 2006
We consider brane world models with interbrane separation stabilized by the Goldberger-Wise scalar field. For arbitrary background, or vacuum configurations of the gravitational and scalar fields in such models, we construct the second variation ...
Babich V. M., Brandhuber A., EDWARD E. BOOS, Hewett J., Hewett J. L., IGOR P. VOLOBUEV, MIKHAIL N. SMOLYAKOV, YURI S. MIKHAILOV   +7 more
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Conditional quasi-exact solvability of the quantum planar pendulum and of its anti-isospectral hyperbolic counterpart

, 2017
We have subjected the planar pendulum eigenproblem to a symmetry analysis with the goal of explaining the relationship between its conditional quasi-exact solvability (C-QES) and the topology of its eigenenergy surfaces, established in our earlier work ...
Becker, Simon, Friedrich, Bretislav, Mirahmadi, Marjan, Schatz, Konrad, Schmidt, Burkhard   +4 more
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Bounding biomass in the Fisher equation

, 2007
The FKPP equation with a variable growth rate and advection by an incompressible velocity field is considered as a model for plankton dispersed by ocean currents. If the average growth rate is negative then the model has a survival-extinction transition;
A. N. Kolmogorov, B. Audoly, B. J. Bayly, C. M. Bender, Daniel A. Birch, H. Kierstead, J. G. Skellam, R. A. Fisher, S. Childress, T. Platt, William R. Young, Yue-Kin Tsang   +11 more
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Norm estimates of complex symmetric operators applied to quantum systems

, 2005
This paper communicates recent results in theory of complex symmetric operators and shows, through two non-trivial examples, their potential usefulness in the study of Schr\"odinger operators. In particular, we propose a formula for computing the norm of
Barbaroux J M, Brown G J N, Danciger J, Danciger J Garcia S R Putinar M, de Prunele E, Emil Prodan, Garcia S R, Glazman I M, Glazman I M, Hislop P D, Kohn W, Kronig R, McCurdy C W, Mihai Putinar, Reed M, Riss U V, Simon B, Stephan R Garcia   +17 more
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