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Title:

Residual Symmetries in the Spectrum of Periodically Driven Alkali Rydberg States

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(received; accepted) PACS. 32.80Rm – Multiphoton ionization and excitation to highly excited states (e.g., Rydberg states). PACS. 05.45+b – Theory and models of chaotic systems. PACS. 42.50Hz – Strong-field excitation of optical transitions in quantum systems; multiphoton processes; dynamic Stark shift. Abstract. – We identify a fundamental stru...

(received; accepted) PACS. 32.80Rm – Multiphoton ionization and excitation to highly excited states (e.g., Rydberg states). PACS. 05.45+b – Theory and models of chaotic systems. PACS. 42.50Hz – Strong-field excitation of optical transitions in quantum systems; multiphoton processes; dynamic Stark shift. Abstract. – We identify a fundamental structure in the spectrum of microwave driven alkali Rydberg states, which highlights the remnants of the Coulomb symmetry in the presence of a non-hydrogenic core. Core-induced corrections with respect to the hydrogen spectrum can be accounted for by a perturbative approach. Introduction. – The excitation and subsequent ionization of Rydberg states of atomic hydrogen by microwave fields is one of the most prominent examples of the manifestation of classically nonlinear dynamics in a realistic physical system [1]. Given a driving field frequency comparable to the classical Kepler frequency of the unperturbed Rydberg electron, the electron’s classical trajectory goes chaotic for sufficiently large driving field amplitudes Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-25

Source:

http://arxiv.org/pdf/physics/9911064v1.pdf

http://arxiv.org/pdf/physics/9911064v1.pdf Minimize

Document Type:

text

Language:

en

DDC:

539 Modern physics *(computed)*

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

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Title:

Electromagnetic Fields: Computational Physics Meets Experiment

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yet there is method in it.

yet there is method in it. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-06-25

Source:

http://edoc.ub.uni-muenchen.de/336/1/Krug_Andreas.pdf

http://edoc.ub.uni-muenchen.de/336/1/Krug_Andreas.pdf Minimize

Document Type:

text

Language:

en

Subjects:

unter dem Einfluß eines starken Mikrowellenfeldes. Das äußere Feld ; dessen Frequenz

unter dem Einfluß eines starken Mikrowellenfeldes. Das äußere Feld ; dessen Frequenz Minimize

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EPJ manuscript No.

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-25

Source:

http://arxiv.org/pdf/physics/0212037v1.pdf

http://arxiv.org/pdf/physics/0212037v1.pdf Minimize

Document Type:

text

Language:

en

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

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OPOSSum -- An Online Portal to Collect and Share Semantic Service Descriptions

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2011-08-11

Source:

http://sunsite.informatik.rwth-aachen.de/Publications/CEUR-WS/Vol-367/ESWC2008_Poster_Kuester.pdf

http://sunsite.informatik.rwth-aachen.de/Publications/CEUR-WS/Vol-367/ESWC2008_Poster_Kuester.pdf Minimize

Document Type:

text

Language:

en

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Title:

P-functor versions of the Nakajima operators

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For every smooth quasi-projective surface X we construct a series of P^{n-1}-functors H_{l,n}: D(X x X^[l]) --> D(X^[n+l]) between the derived categories of the Hilbert schemes of points for n>max{l,1} using the derived McKay correspondence. They can be considered as analogues of the Nakajima operators. The functors also restrict to P^{n-1}-func...

For every smooth quasi-projective surface X we construct a series of P^{n-1}-functors H_{l,n}: D(X x X^[l]) --> D(X^[n+l]) between the derived categories of the Hilbert schemes of points for n>max{l,1} using the derived McKay correspondence. They can be considered as analogues of the Nakajima operators. The functors also restrict to P^{n-1}-functors on the generalised Kummer varieties. We also study the induced autoequivalences and obtain, for example, a universal braid relation in the groups of derived autoequivalences of Hilbert squares of K3 surfaces and Kummer fourfolds. Minimize

Year of Publication:

2014-05-05

Document Type:

text

Subjects:

Mathematics - Algebraic Geometry ; Mathematics - Representation Theory

Mathematics - Algebraic Geometry ; Mathematics - Representation Theory Minimize

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Title:

New derived autoequivalences of Hilbert schemes and generalised Kummer varieties

Description:

We show that for every smooth projective surface X and every $n\ge 2$ the push-forward along the diagonal embedding gives a $P^{n-1}$-functor into the $S_n$-equivariant derived category of X^n. Using the Bridgeland--King--Reid--Haiman equivalence this yields a new autoequivalence of the derived category of the Hilbert scheme of n points on X. In...

We show that for every smooth projective surface X and every $n\ge 2$ the push-forward along the diagonal embedding gives a $P^{n-1}$-functor into the $S_n$-equivariant derived category of X^n. Using the Bridgeland--King--Reid--Haiman equivalence this yields a new autoequivalence of the derived category of the Hilbert scheme of n points on X. In the case that the canonical bundle of X is trivial and n=2 this autoequivalence coincides with the known EZ-spherical twist induced by the boundary of the Hilbert scheme. We also generalise the 16 spherical objects on the Kummer surface given by the exceptional curves to n^4 orthogonal $P^{n-1}$-Objects on the generalised Kummer variety. ; Comment: Mistakes in Lemma 3.3, Prop. 4.4, and Remark 4.7 corrected. The changes do not affect the main results Minimize

Year of Publication:

2013-01-21

Document Type:

text

Subjects:

Mathematics - Algebraic Geometry

Mathematics - Algebraic Geometry Minimize

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Title:

Extension groups of tautological sheaves on Hilbert schemes

Description:

We give formulas for the extension groups between tautological sheaves and more general between tautological objects twisted by a determinant line bundle on the Hilbert scheme of points on a smooth quasi-projective surface. We do this using L. Scala's results about the image of tautological sheaves under the Bridgeland-King-Reid equivalence. We ...

We give formulas for the extension groups between tautological sheaves and more general between tautological objects twisted by a determinant line bundle on the Hilbert scheme of points on a smooth quasi-projective surface. We do this using L. Scala's results about the image of tautological sheaves under the Bridgeland-King-Reid equivalence. We also compute the Yoneda products in terms of these formulas. ; Comment: Revised version Minimize

Year of Publication:

2011-11-17

Document Type:

text

Subjects:

Mathematics - Algebraic Geometry

Mathematics - Algebraic Geometry Minimize

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Title:

Tensor products of tautological bundles under the Bridgeland-King-Reid-Haiman equivalence

Description:

We give a description of the image of tensor products of tautological bundles on Hilbert schemes of points on surfaces under the Bridgeland-King-Reid-Haiman equivalence. Using this, some new formulas for cohomological invariants of these bundles are obtained. In particular, we give formulas for the Euler characteristic of arbitrary tensor produc...

We give a description of the image of tensor products of tautological bundles on Hilbert schemes of points on surfaces under the Bridgeland-King-Reid-Haiman equivalence. Using this, some new formulas for cohomological invariants of these bundles are obtained. In particular, we give formulas for the Euler characteristic of arbitrary tensor products on the Hilbert scheme of two points and of triple tensor products in general. Minimize

Year of Publication:

2012-11-07

Document Type:

text

Subjects:

Mathematics - Algebraic Geometry

Mathematics - Algebraic Geometry Minimize

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Title:

A universal ionization threshold for strongly driven Rydberg states

Description:

We observe a universal ionization threshold for microwave driven one-electron Rydberg states of H, Li, Na, and Rb, in an {\em ab initio} numerical treatment without adjustable parameters. This sheds new light on old experimental data, and widens the scene for Anderson localization in light matter interaction. ; Comment: 4 pages, 1 figure

We observe a universal ionization threshold for microwave driven one-electron Rydberg states of H, Li, Na, and Rb, in an {\em ab initio} numerical treatment without adjustable parameters. This sheds new light on old experimental data, and widens the scene for Anderson localization in light matter interaction. ; Comment: 4 pages, 1 figure Minimize

Year of Publication:

2004-04-21

Document Type:

text

Subjects:

Quantum Physics

Quantum Physics Minimize

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Title:

Residual Symmetries in the Spectrum of Periodically Driven Alkali Rydberg States

Description:

We identify a fundamental structure in the spectrum of microwave driven alkali Rydberg states, which highlights the remnants of the Coulomb symmetry in the presence of a non-hydrogenic core. Core-induced corrections with respect to the hydrogen spectrum can be accounted for by a perturbative approach. ; Comment: 7 pages, 2 figures, to be publish...

We identify a fundamental structure in the spectrum of microwave driven alkali Rydberg states, which highlights the remnants of the Coulomb symmetry in the presence of a non-hydrogenic core. Core-induced corrections with respect to the hydrogen spectrum can be accounted for by a perturbative approach. ; Comment: 7 pages, 2 figures, to be published in Europhysics Letters Minimize

Year of Publication:

1999-11-25

Document Type:

text

Subjects:

Physics - Atomic Physics ; Nonlinear Sciences - Chaotic Dynamics

Physics - Atomic Physics ; Nonlinear Sciences - Chaotic Dynamics Minimize

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