Results 21 to 30 of about 8,899 (159)
Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We consider the symmetry properties of an integro-differential multidimensional Gross-Pitaevskii equation with a nonlocal nonlinear (cubic) term in the context of symmetry analysis using the formalism of semiclassical asymptotics.
Aleksandr L. Lisok +2 more
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Large c Virasoro blocks from monodromy method beyond known limits
Journal of High Energy Physics, 2018 In this paper, we study large c Virasoro blocks by using the Zamolodchikov monodromy method beyond its known limits. We give an analytic proof of our recent conjecture [1, 2], which implied that the asymptotics of the large c conformal blocks can be ...
Yuya Kusuki
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Initial Conditions for Semiclassical Field Theory [PDF]
, 1997 Semiclassical approximation based on extracting a c-number classical component from quantum field is widely used in the quantum field theory. Semiclassical states are considered then as Gaussian wave packets in the functional Schrodinger representation ...
A. A. Grib +36 more
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, 1999 We derive semiclassical asymptotics for the orthogonal polynomials P_n(z) on the line with respect to the exponential weight \exp(-NV(z)), where V(z) is a double-well quartic polynomial, in the limit when n, N \to \infty. We assume that \epsilon \le (n/N)
Bleher, Pavel, Its, Alexander
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Semiclassical asymptotic behavior of orthogonal polynomials [PDF]
Letters in Mathematical Physics, 2020 Our goal is to find asymptotic formulas for orthonormal polynomials $P_{n}(z)$ with the recurrence coefficients slowly stabilizing as $n\to\infty$. To that end, we develop spectral theory of Jacobi operators with long-range coefficients and study the corresponding second order difference equation. We suggest an Ansatz for its solutions playing the role
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Semiclassical Asymptotics of the Aharonov‐Bohm Interference Process [PDF]
Annalen der Physik, 2017 AbstractWe systematically derive the semiclassical limit of a charged particle's motion in the presence of an infinitely long and infinitesimally thin solenoid carrying magnetic flux. Our limit establishes the connection of the particle's quantum mechanical canonical angular momentum to the latter's classical counterpart.
Fischer, Stefan Georg +2 more
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Semiclassical shell structure and nuclear double-humped fission barriers [PDF]
Ядерна фізика та енергетика, 2010 We derived the semiclassical trace formulas for the level density as sums over periodic-orbit families and isolated orbits within the improved stationary phase method.
A. G. Magner
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An application of the Maslov complex germ method to the 1D nonlocal Fisher-KPP equation
, 2018 A semiclassical approximation approach based on the Maslov complex germ method is considered in detail for the 1D nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation under the supposition of weak diffusion.
Shapovalov, A. V., Trifonov, A. Yu.
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Semiclassical asymptotics for a class of singular Schrödinger operators [PDF]
, 2021 Let $ \subset \mathbb{R}^d$ be bounded with $C^1$ boundary. In this paper we consider Schr dinger operators $- + W$ on $ $ with $W(x)\approx\mathrm{dist}(x, \partial )^{-2}$ as $\mathrm{dist}(x, \partial )\to 0$. Under weak assumptions on $W$ we derive a two-term asymptotic formula for the sum of the eigenvalues of such operators.
Rupert L. Frank, Simon Larson
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Frontiers in Applied Mathematics and StatisticsThe purpose of this note is to review certain recent results concerning the pseudospectra and the eigenvalues asymptotics of non-selfadjoint semiclassical pseudo-differential operators subject to small random perturbations.
Martin Vogel
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