William P. Reinhardt

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Erratum to “Relationships Between the Zeros, Weights, and Weight Functions of Orthogonal Polynomials: Derivative Rule Conjecture (the DRC) Applied to Stieltjes and Spectral Imaging”	2021	William P. Reinhardt
+	Relationships Between the Zeros, Weights, and Weight Functions of Orthogonal Polynomials: Derivative Rule Conjecture (the DRC) Applied to Stieltjes and Spectral Imaging	2021	William P. Reinhardt
+	Universality Properties of Gaussian Quadrature, The Derivative Rule, and a Novel Approach to Stieltjes Inversion	2018	William P. Reinhardt
+ PDF Chat	Quantum dynamics of solitons in strongly interacting systems on optical lattices	2012	Chester P. Rubbo Indubala I. Satija William P. Reinhardt Radha Balakrishnan Ana María Rey Salvatore R. Manmana
+ PDF Chat	Dynamical studies of macroscopic superposition states: phase engineering of controlled entangled number states of Bose–Einstein condensates in multiple wells	2012	Mary Ann Leung Khan W. Mahmud William P. Reinhardt
+	Bright and Dark Solitons and Breathers in Strongly Repulsive Bose-Einstein Condensates	2011	William P. Reinhardt Indubala I. Satija Bryce Robbins Charles W. Clark
+	Dynamical studies of macroscopic superposition states: Phase engineering of novel controlled entangled number states of the gaseous atomic Bose-Einstein condensate in multiple wells	2010	Mary Ann Leung Khan W. Mahmud William P. Reinhardt
+	Computational Theory of a splitting BEC using a Generalized Wannier basis I: Theory and Statics	2010	Douglas K. Faust William P. Reinhardt
+	Weierstrass elliptic and modular functions.	2010	William P. Reinhardt Peter Walker
+ PDF Chat	Time-dependent quantum many-body theory of identical bosons in a double well: Early-time ballistic interferences of fragmented and number entangled states	2007	David J. Masiello William P. Reinhardt
+ PDF Chat	Mean-field effects may mimic number squeezing in Bose-Einstein condensates in optical lattices	2006	Sarah B. McKagan David L. Feder William P. Reinhardt
+	Symmetry-breaking self-consistent quantum many-body structure of high-lying macroscopic self-trapped and superposition states of the gaseous double-well BEC	2006	David J. Masiello William P. Reinhardt
+ PDF Chat	Multiconfigurational Hartree-Fock theory for identical bosons in a double well	2005	David J. Masiello Sarah B. McKagan William P. Reinhardt
+ PDF Chat	Quantum phase-space picture of Bose-Einstein condensates in a double well	2005	Khan W. Mahmud Heidi Perry William P. Reinhardt
+	Free-Energy Calculation Using Nonequilibrium Simulations	2005	Maurice de Koning William P. Reinhardt
+	Phase engineering of squeezed states and controlled entangled number states of Bose-Einstein condensates in multiple wells	2004	Khan W. Mahmud Mary Ann Leung William P. Reinhardt
+ PDF Chat	Phase engineering of controlled entangled number states in a single component Bose–Einstein condensate in a double well	2003	Khan W. Mahmud Heidi Perry William P. Reinhardt
+	Molecular Orbital Theory of the gaseous Bose-Einstein condensate: Natural Orbital analysis of strongly correlated ground and excited states of an atomic condensate in a double well	2003	William P. Reinhardt Heidi Perry
+ PDF Chat	Bose-Einstein condensates in a one-dimensional double square well: Analytical solutions of the nonlinear Schrödinger equation	2002	Khan W. Mahmud J. Nathan Kutz William P. Reinhardt
+ PDF Chat	Solitonic vortices and the fundamental modes of the “snake instability”: Possibility of observation in the gaseous Bose-Einstein condensate	2002	Joachim Brand William P. Reinhardt
+	Relating Linearly Superposed Periodic Solutions of Nonlinear Equations to One Soliton Solutions	2002	William P. Reinhardt Avinash Khare U. Sukhatme
+ PDF Chat	Tunable tunneling: An application of stationary states of Bose-Einstein condensates in traps of finite depth	2001	Lincoln D. Carr Khan W. Mahmud William P. Reinhardt
+ PDF Chat	Stability of stationary states in the cubic nonlinear Schrödinger equation: Applications to the Bose-Einstein condensate	2001	Lincoln D. Carr J. Nathan Kutz William P. Reinhardt
+ PDF Chat	Generating ring currents, solitons and svortices by stirring a Bose-Einstein condensate in a toroidal trap	2001	Joachim Brand William P. Reinhardt
+ PDF Chat	Stationary solutions of the one-dimensional nonlinear Schrödinger equation. I. Case of repulsive nonlinearity	2000	Lincoln D. Carr Charles W. Clark William P. Reinhardt
+ PDF Chat	Stationary solutions of the one-dimensional nonlinear Schrödinger equation. II. Case of attractive nonlinearity	2000	Lincoln D. Carr Charles W. Clark William P. Reinhardt
+ PDF Chat	Dynamics of the Bose-Einstein condensate: quasi-one-dimension and beyond	2000	Lincoln D. Carr Mary Ann Leung William P. Reinhardt
+	SEPARABILITY AND STABILITY OF SOLUTIONS OF THE 1-DIMENSIONAL NLSE WITH RESPECT TO EXTENSION INTO 2 AND 3 DIMENSIONS, AND TO INITIAL PERTURBATION BY WHITE NOISE	2000	William P. Reinhardt Mary Ann Leung Lincoln D. Carr
+	EXPECTED AND UNEXPECTED SOLUTIONS TO THE STATIONARY ONE-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION	2000	Lincoln D. Carr Charles W. Clark William P. Reinhardt
+	<i>Symmetries in Quantum Physics</i>	1997	U. Fano A. Rau William P. Reinhardt
+ PDF Chat	Motion of a driven tracer particle in a one-dimensional symmetric lattice gas	1996	S. F. Burlatsky Gleb Oshanin M. Moreau William P. Reinhardt
+	Exploiting the analyticity of Schr�dinger operators: Theory and the computation of partial cross sections	1996	William P. Reinhardt Seungsuk Han
+	Regular and Irregular Correspondences--Adiabatic Invariants in Classical and Quantum Mechanics (Quantum and Chaos--How Incompatible?(Proceedings of the 5th Yukawa International Seminar))	1994	William P. Reinhardt
+	A pictorial introduction to classical structures in the chaotic phase space of a collision complex	1990	William P. Reinhardt
+	Intrinsic nonadiabaticities on the Farey tree	1987	Itzhack Dana William P. Reinhardt
+	Observation of Padé summability in divergent<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>complex coordinate calculations of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi></mml:math>-matrix amplitudes in the presence of long-range forces	1984	Bruce R. Johnson William P. Reinhardt
+	Uniform semiclassical quantization of regular and chaotic classical dynamics on the Hénon–Heiles surfacea)	1982	Charles Jaffé William P. Reinhardt
+	THE QUADRATIC ZEEMAN EFFECT IN HYDROGEN : AN EXAMPLE OF SEMI-CLASSICAL QUANTIZATION OF A STRONGLY NON-SEPARABLE BUT ALMOST INTEGRABLE SYSTEM	1982	William P. Reinhardt David Farrelly
+	Complex Coordinates in the Theory of Atomic and Molecular Structure and Dynamics	1982	William P. Reinhardt
+	Time-independent methods in classical mechanics: Calculation of invariant tori and semiclassical energy levels via classical Van Vleck transformations	1979	Charles Jaffé William P. Reinhardt
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>discretizations of the continuum: Radial kinetic energy and Coulomb Hamiltonian	1975	Hashim A. Yamani William P. Reinhardt
+	H 2 Photoabsorption Cross Sections From L 2 Configuration Interaction Wavefunctions	1975	Stephen V. O'Neil William P. Reinhardt
+	Comment on the Direct-Matrix Solution of a Singular Lippmann—Schwinger Equation	1973	Eric J. Heller William P. Reinhardt
+	Fredholm Elastic and Inelastic Scattering Calculations Using L 2 -FUNCTIONS with Complex Coordinates	1973	T. N. Rescigno William P. Reinhardt
+ PDF Chat	Fredholm Method. II. A Numerical Procedure for Inelastic Scattering	1971	William P. Reinhardt

Common Coauthors

Coauthor	Papers Together
Lincoln D. Carr	7
Khan W. Mahmud	7
Mary Ann Leung	5
Charles W. Clark	4
Heidi Perry	3
David J. Masiello	3
Charles Jaffé	2
J. Nathan Kutz	2
Sarah B. McKagan	2
Joachim Brand	2
Indubala I. Satija	2
Bryce Robbins	1
Itzhack Dana	1
U. Sukhatme	1
Ana María Rey	1
Hashim A. Yamani	1
David Farrelly	1
Peter Walker	1
Chester P. Rubbo	1
U. Fano	1
Maurice de Koning	1
Bruce R. Johnson	1
Radha Balakrishnan	1
Seungsuk Han	1
T. N. Rescigno	1
Gleb Oshanin	1
S. F. Burlatsky	1
Avinash Khare	1
Stephen V. O'Neil	1
David L. Feder	1
Salvatore R. Manmana	1
A. Rau	1
Douglas K. Faust	1
Eric J. Heller	1
M. Moreau	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Dark Solitons in Bose-Einstein Condensates	1999	Sven Burger Kai Bongs S. Dettmer W. Ertmer K. Sengstock Anna Sanpera G. V. Shlyapnikov Maciej Lewenstein	12
+ PDF Chat	Theory of Bose-Einstein condensation in trapped gases	1999	F. Dalfovo S. Giorgini Лев П. Питаевский S. Stringari	10
+ PDF Chat	Spatial fragmentation of a Bose-Einstein condensate in a double-well potential	1999	Robert W. Spekkens J. E. Sipe	7
+ PDF Chat	Vortices in a Bose-Einstein Condensate	1999	M. R. Matthews Brian P. Anderson P. C. Haljan D. S. Hall Carl Wieman Eric Cornell	7
+ PDF Chat	Stationary solutions of the one-dimensional nonlinear Schrödinger equation. I. Case of repulsive nonlinearity	2000	Lincoln D. Carr Charles W. Clark William P. Reinhardt	6
+ PDF Chat	Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates	1997	Augusto Smerzi S. Fantoni S. Giovanazzi Subodh R. Shenoy	5
+	Introduction to elliptic functions with applications	1961	F. Bowman	5
+ PDF Chat	Dynamics of the Bose-Einstein condensate: quasi-one-dimension and beyond	2000	Lincoln D. Carr Mary Ann Leung William P. Reinhardt	4
+ PDF Chat	Regimes of Quantum Degeneracy in Trapped 1D Gases	2000	D. S. Petrov G. V. Shlyapnikov J. T. M. Walraven	4
+ PDF Chat	Quantum superposition states of Bose-Einstein condensates	1998	J. I. Cirac Maciej Lewenstein Klaus Mølmer P. Zoller	4
+ PDF Chat	Chaotic behavior, collective modes, and self-trapping in the dynamics of three coupled Bose-Einstein condensates	2003	Roberto Franzosi Vittorio Penna	3
+ PDF Chat	Vortex Formation in a Stirred Bose-Einstein Condensate	2000	Kirk W. Madison Frédéric Chevy Wendel Wohlleben Jean Dalibard	3
+ PDF Chat	Formation and propagation of matter-wave soliton trains	2002	Kevin E. Strecker Guthrie B. Partridge A. G. Truscott Randall G. Hulet	3
+	Handbook of Mathematical Functions	2018		3
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	3
+ PDF Chat	Atomic Scattering in the Presence of an External Confinement and a Gas of Impenetrable Bosons	1998	Maxim Olshanii	3
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	3
+ PDF Chat	Quantum phase-space picture of Bose-Einstein condensates in a double well	2005	Khan W. Mahmud Heidi Perry William P. Reinhardt	3
+ PDF Chat	Atom Interferometry with Bose-Einstein Condensates in a Double-Well Potential	2004	Yong-il Shin Michele Saba T. A. Pasquini Wolfgang Ketterle David E. Pritchard A. E. Leanhardt	3
+ PDF Chat	Guiding Neutral Atoms on a Chip	2000	Nynke H. Dekker C. S. Lee V. Lorent J. H. Thywissen Steven P. Smith Marija Drndić R. M. Westervelt Mara Prentiss	3
+ PDF Chat	Phase engineering of controlled entangled number states in a single component Bose–Einstein condensate in a double well	2003	Khan W. Mahmud Heidi Perry William P. Reinhardt	3
+ PDF Chat	Stationary solutions of the one-dimensional nonlinear Schrödinger equation. II. Case of attractive nonlinearity	2000	Lincoln D. Carr Charles W. Clark William P. Reinhardt	3
+ PDF Chat	Direct Observation of Tunneling and Nonlinear Self-Trapping in a Single Bosonic Josephson Junction	2005	M. Albiez Rudolf Gati Jonas Fölling S. Hunsmann Matteo Cristiani Markus K. Oberthaler	3
+ PDF Chat	Stability of standing matter waves in a trap	1999	A. E. Muryshev H. B. van Linden van den Heuvell G. V. Shlyapnikov	2
+ PDF Chat	Nonequilibrium Gross-Pitaevskii dynamics of boson lattice models	2002	Anatoli Polkovnikov Subir Sachdev S. M. Girvin	2
+	Complex Coordinates in the Theory of Atomic and Molecular Structure and Dynamics	1982	William P. Reinhardt	2
+ PDF Chat	Collective Excitations of Atomic Bose-Einstein Condensates	1996	Mark Edwards P. A. Ruprecht K. Burnett R. J. Dodd Charles W. Clark	2
+ PDF Chat	The Wave Mechanics of an Atom with a Non-Coulomb Central Field. Part I. Theory and Methods	1928	D. R. Hartree	2
+ PDF Chat	States without a linear counterpart in Bose-Einstein condensates	2002	Roberto D’Agosta Carlo Presilla	2
+ PDF Chat	Dynamics of a strongly driven two-component Bose-Einstein condensate	2002	Grant Leonard Salmond C. A. Holmes G. J. Milburn	2
+ PDF Chat	Bose-Einstein solitons in highly asymmetric traps	1998	Victor M. Pérez-Garcı́a Humberto Michinel H. Herrero	2
+ PDF Chat	Quantum Many Particle Systems in Ring-Shaped Optical Lattices	2005	Luigi Amico Andreas Osterloh F. S. Cataliotti	2
+ PDF Chat	Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling	1998	M. J. Steel M. J. Collett	2
+	Periodic Orbits and Classical Quantization Conditions	1971	Martin C. Gutzwiller	2
+ PDF Chat	Watching Dark Solitons Decay into Vortex Rings in a Bose-Einstein Condensate	2001	Brian P. Anderson P. C. Haljan C. A. Regal David L. Feder L. A. Collins C. W. Clark Eric Cornell	2
+ PDF Chat	Cold Bosonic Atoms in Optical Lattices	1998	Dieter Jaksch Christoph Bruder J. I. Cirac C. W. Gardiner P. Zoller	2
+	Die gegenw�rtige Situation in der Quantenmechanik	1935	E. Schr�dinger	2
+	Numerical Analysis of Spectral Methods	1977	David Gottlieb Steven A. Orszag	2
+ PDF Chat	Applications of universality limits to zeros and reproducing kernels of orthogonal polynomials	2007	Eli Levin D. S. Lubinsky	2
+	Successive Approximations by the Rayleigh-Ritz Variation Method	1933	J. K. L. MacDonald	2
+ PDF Chat	Multiply connected Bose-Einstein-condensed alkali-metal gases: Current-carrying states and their decay	1998	Erich J. Mueller Paul M. Goldbart Yuli Lyanda-Geller	2
+ PDF Chat	Many-particle entanglement in two-component Bose-Einstein condensates	2003	A. Micheli Dieter Jaksch J. I. Cirac P. Zoller	2
+ PDF Chat	Controlled Collapse of a Bose-Einstein Condensate	2001	Jacob Roberts N. R. Claussen Simon L. Cornish E. A. Donley Eric Cornell C. E. Wieman	2
+ PDF Chat	Formation of a Matter-Wave Bright Soliton	2002	Lev Khaykovich Florian Schreck G. Ferrari Thomas Bourdel J. Cubizolles Lincoln D. Carr Yvan Castin C. Salomon	2
+ PDF Chat	Collapse and revival of the matter wave field of a Bose–Einstein condensate	2002	Markus Greiner Olaf Mandel Theodor W. Hänsch Immanuel Bloch	2
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>discretizations of the continuum: Radial kinetic energy and Coulomb Hamiltonian	1975	Hashim A. Yamani William P. Reinhardt	2
+ PDF Chat	Macroscopic superpositions of Bose-Einstein condensates	1998	Janne Ruostekoski M. J. Collett Robert Graham Dan F. Walls	2
+ PDF Chat	Evolution of the macroscopically entangled states in optical lattices	2003	Anatoli Polkovnikov	2
+ PDF Chat	Controlled collisions for multi-particle entanglement of optically trapped atoms	2003	Olaf Mandel Markus Greiner Artur Widera Tim Rom T. W. Hänsch Immanuel Bloch	2
+ PDF Chat	A method for determining a stochastic transition	1979	J. M. Greene	2