Papers:
- A. Pelster and A. Wunderlin:
On the Generalization of the
Duru-Kleinert-Propagatortransformations;
Zeitschrift für Physik B
89, 373-386 (1992)
- A. Pelster, A. Wunderlin, and K. Zeile:
Space and Time
Transformations in Classical Mechanics and in Quantum Mechanics;
Reports on Mathematical Physics 33, 163-173 (1993)
- K. Zeile, A. Pelster, and A. Wunderlin:
Quantum Energy
Mapping - An Interpretation Based on Classical Orbits;
Physics Letters A 179, 161-166 (1993)
- W. Wischert, A. Wunderlin, A. Pelster, M. Olivier, and J.
Groslambert:
Delay-Induced Instabilities in Nonlinear Feedback
Systems;
Physical Review E 49, 203-219 (1994)
- A. Pelster and H. Kleinert:
Relations Between Markov Processes
Via Local Time and Coordinate Transformations;
Physical Review Letters 78, 565-569 (1997)
cond-mat/9608120
- H. Kleinert and A. Pelster:
Novel Geometric Gauge Invariance
of Autoparallels;
Acta Physica Polonica 29, 1015-1023 (1998)
gr-qc/9801030
- H. Kleinert, W. Kürzinger, and A. Pelster:
Effective Classical Potential to Higher Orders Via Smearing;
Journal of Physics A 31, 8307-8321 (1998)
quant-ph/9806016
- E. Grigorieva, H. Haken, S.A. Kashchenko, and A. Pelster:
Travelling Waves Dynamics in Nonlinear Interferometer
with Spatial Field Transformer in Feedback;
Physica D 125, 123-141 (1999)
- C. Simmendinger, A. Pelster, and A. Wunderlin:
Analytical Approach for the Floquet Theory of Delay Differential Equations;
Physical Review E 59, 5344-5353 (1999)
math-ph/0106011
- H. Kleinert, A. Pelster, and M. Bachmann:
Generating Functionals for Harmonic Expectation Values of Paths
with Fixed End Points. Feynman Diagrams for Nonpolynomial Interactions;
Physical Review E 60, 2510-2527 (1999)
quant-ph/9902051
- H. Kleinert and A. Pelster:
Autoparallels From a New Action Principle;
General Relativity and Gravitation 31, 1439-1447 (1999)
gr-qc/9605028
- M. Bachmann, H. Kleinert, and A. Pelster:
Strong-Coupling Calculation of Fluctuation Pressure of a Membrane
Between Walls;
Physics Letters A 261, 127-133 (1999)
cond-mat/9905397
- M. Bachmann, H. Kleinert, and A. Pelster:
Variational Perturbation Theory for Density Matrices;
Physical Review A 60, 3429-3443 (1999)
quant-ph/9812063
- M. Bachmann, H. Kleinert, and A. Pelster:
Recursive Graphical Construction of Feynman Diagrams in Quantum
Electrodynamics;
Physical Review D 61, 085017/1-16 (2000)
hep-th/9907044
- H. Kleinert, A. Pelster, B. Kastening, and M. Bachmann:
Recursive Graphical Construction of Feynman Diagrams and Their
Multiplicities in phi^4- and phi^2 A-Theory;
Physical Review E 62, 1537-1559 (2000)
hep-th/9907168
MATHEMATICA program and its output
- M. Bachmann, H. Kleinert, and A. Pelster:
Variational Approach to Hydrogen Atom in Uniform Magnetic
Field of Arbitrary Strength;
Physical Review A 62, 52509/1-21 (2000)
quant-ph/0005074
- M. Bachmann, H. Kleinert, and A. Pelster:
Quantum Statistics of Hydgrogen in Strong Magnetic Fields;
Physics Letters A 279, 23-28 (2001)
quant-ph/0005100
- M. Bachmann, H. Kleinert, and A. Pelster:
Fluctuation Pressure of a Stack of Membranes;
Physical Review E 63, 051709/1-10 (2001)
cond-mat/0011281
- H. Kleinert, A. Pelster, and B. Van den Bossche:
Recursive Graphical Construction of Feynman Diagrams and Their
Weights in Ginzburg-Landau Theory;
Physica A 312, 141-152 (2002)
hep-th/0107017
- A. Pelster, H. Kleinert, and M. Bachmann:
Functional Closure of Schwinger-Dyson Equations in Quantum Electrodynamics --
Part 1: Generation of Connected and One-Particle Irreducible Feynman
Diagrams;
Annals of Physics (N.Y.) 297, 363-395 (2002)
hep-th/0109014
- H. Kleinert, A. Pelster, and M.V. Putz:
Variational Perturbation Theory for Markov Processes;
Physical Review E 65, 066128/1-7 (2002)
cond-mat/0202378
- F. Weißbach, A. Pelster, and B. Hamprecht:
High-Order Variational Perturbation Theory for the Free Energy;
Physical Review E 66, 036129/1-11 (2002)
quant-ph/0203014
- C.M. Bender, A. Pelster, and F. Weißbach:
Boundary-Layer Theory, Strong-Coupling Series, and Large-Order Behavior;
Journal of Mathematical Physics 43, 4202-4220 (2002)
math-ph/0203017
- M. Schanz and A. Pelster:
Synergetic System Analysis for the Delay-Induced Hopf Bifurcation in
the Wright Equation;
SIAM Journal on Applied Dynamical Systems 2, 277-296 (2003)
nlin.CD/0203005
- M. Schanz and A. Pelster:
Analytical and Numerical Investigations of the Phase-Locked Loop with Time Delay;
Physical Review E 67, 056205/1-8 (2003)
nlin.CD/0501031
- A. Pelster, H. Kleinert, and M. Schanz:
High-Order Variational Calculation for the Frequency of Time-Periodic Solutions;
Physical Review E 67, 016604/1-6 (2003)
math-ph/0208032
- A. Pelster and K. Glaum:
Many-Body Vacuum Diagrams and Their Recursive Graphical Construction;
Physica Status Solidi B 237, 72-81 (2003)
cond-mat/0211361
- A. Pelster and H. Kleinert:
Functional Differential Equations for the Free Energy and the Effective Energy
in the Broken-Symmetry
Phase of phi^4-Theory and Their Recursive Graphical Solution;
Physica A 323, 370-400 (2003)
hep-th/0006153
- A. Pelster and K. Glaum:
Recursive Graphical Solution of Closed Schwinger-Dyson Equations in phi^4-Theory --
Part 1: Generation of Connected and One-Particle Irreducible Feynman Diagrams;
Physica A 335, 455-486 (2004)
hep-th/0303177
- H. Kleinert, S. Schmidt, and A. Pelster:
Reentrant Phenomenon in the Quantum Phase Transitions of a Gas of Bosons Trapped in an Optical Lattice;
Physical Review Letters 93, 160402/1-4 (2004)
cond-mat/0307412
- H. Kleinert, S. Schmidt, and A. Pelster:
Quantum Phase Diagram for Homogeneous Bose-Einstein Condensate;
Annalen der Physik (Leipzig) 14, 214-230 (2005)
cond-mat/0308561
-
S.F. Brandt, H. Kleinert, and A. Pelster:
Recursive Calculation of Effective Potential and Variational Resummation;
Journal of Mathematical Physics 46, 032101/1-11 (2005)
quant-ph/0406206
-
J. Dreger, A. Pelster, and B. Hamprecht:
Variational Perturbation Theory for Fokker-Planck Equation with Nonlinear Drift;
European Physical Journal B 45, 355-368 (2005)
cond-mat/0412750
-
S.F. Brandt and A. Pelster:
Large-D Expansion from Variational Perturbation Theory;
Journal of Mathematical Physics 46, 112105/1-16 (2005)
quant-ph/0504146
- S.F. Brandt, A. Pelster, and R. Wessel:
Variational Calculation of the Limit Cycle and its Frequency in a Two-Neuron
Model With Delay;
Physical Review E 74, 036201/1-14 (2006)
physics/0603077
- K.V. Krutitsky, A. Pelster, and R. Graham:
Mean-Field Phase Diagram of Disordered Bosons in a Lattice at Non-Zero Temperature;
Focus Issue on "Cold Atoms in Optical Lattices" edited by
Immanuel Bloch and Peter Zoller;
New Journal of Physics 8, 187/1-14 (2006)
cond-mat/0605163
- M. Timmer, A. Pelster, and R. Graham:
Disorder-Induced Shift of Condensation Temperature for Dilute Trapped Bose Gases;
Europhysics Letters 76, 760-766 (2006)
cond-mat/0605755
- P. Navez, A. Pelster, and R. Graham:
Bose Condensed Gas in Strong Disorder Potential With Arbitrary Correlation Length;
Applied Physics B 86, 395-398 (2007)
cond-mat/0607546
- K. Glaum, A. Pelster, H. Kleinert, and T. Pfau:
Critical Temperature of Weakly Interacting Dipolar Condensates;
Physical Review Letters 98, 080407/1-4 (2007)
cond-mat/0606569
- G.M. Falco, A. Pelster, and R. Graham:
Thermodynamics of a Bose-Einstein Condensate with Weak Disorder;
Physical Review A 75, 063619/1-11 (2007)
cond-mat/0702123
- S. Kling and A. Pelster:
Thermodynamical Properties of a Rotating Ideal Bose Gas;
Physical Review A 76, 023609/1-6 (2007)
cond-mat/0604162
- M. Güßmann, A. Pelster, and G. Wunner:
Synergetic Analysis of the Häussler-von der Malsburg Equations for Manifolds of Arbitrary Geometry;
Annalen der Physik (Leipzig) 16, 379-394 (2007)
physics/0607253
- M. Güßmann, A. Pelster, and G. Wunner:
Solutions of the Häussler-von der Malsburg Equations in Manifolds with Constant Curvatures;
Annalen der Physik (Leipzig) 16, 395-425 (2007)
physics/0607259
- K. Glaum and A. Pelster:
Bose-Einstein Condensation Temperature of Dipolar Gas in Anisotropic Harmonic Trap;
Physical Review A 76, 023604/1-11 (2007)
cond-mat/0609374
- G.M. Falco, A. Pelster, and R. Graham:
Collective Oscillations in Trapped Bose-Einstein Condensed
Gases in the Presence of Weak Disorder;
Physical Review A 76, 013624/1-5 (2007)
arXiv:0705.0097
- S.F. Brandt, A. Pelster, and R. Wessel:
Controlling the Phase in a Neuronal Feedback Loop through Asymmetric Temporal Delays;
Europhysics Letters 79, 38001/1-5 (2007)
physics/0701225
- S. Röthel and A. Pelster:
Density and Stability in Ultracold Dilute Boson-Fermion Mixtures;
European Physical Journal B 59, 343-356 (2007)
cond-mat/0703220
- K. Glaum, H. Kleinert, and A. Pelster:
Condensation of Ideal Bose Gas Confined in a Box within a Canonical Ensemble;
Physical Review A 76, 063604/1-12 (2007)
arXiv:0707.2715
- F.E.A. dos Santos and A. Pelster:
Quantum Phase Diagram of Bosons in Optical Lattices;
Physical Review A 79, 013614/1-12 (2009)
arXiv:0806.2812
- B. Bradlyn, F.E.A. dos Santos, and A. Pelster:
Effective Action Approach for Quantum Phase Transitions in Bosonic Lattices;
Physical Review A 79, 013615/1-15 (2009)
arXiv:0809.0706
- R. Graham and A. Pelster:
Order Via Nonlinearity in Randomly Confined Bose Gases;
International Journal of Bifurcation and Chaos 19, 2745-2753 (2009)
cond-mat/0508306
- S. Kling and A. Pelster:
Dynamical Properties of a Rotating Bose-Einstein Condensate;
Special Issue on "Physics of Cold Trapped Atoms";
Laser Physics 19, 1072-1078 (2009)
arXiv:0711.0088
- A. Balaz, A. Bogojevic, I. Vidanovic, and A. Pelster:
Recursive Schrödinger Equation Approach to Faster Converging Path Integrals;
Physical Review E 79, 036701/1-9 (2009)
arXiv:0806.4774
- B. Klünder and A. Pelster:
Systematic Semiclassical Expansion for Harmonically Trapped Ideal Bose Gases;
European Physical Journal B 68, 457-465 (2009)
arXiv:0806.2960
- A. Hoffmann and A. Pelster:
Visibility of Cold Atomic Gases in Optical Lattices for Finite Temperatures;
Physical Review A 79, 053623/1-9 (2009)
arXiv:0809.0771
- K. Howe, A. R. P. Lima, and A. Pelster:
Rotating Fermi Gases in an Anharmonic Trap;
European Physical Journal D 54, 667-682 (2009)
arXiv:0810.4983
- S.F. Brandt, A. Pelster, and Ralf Wessel:
Noise-Dependent Stability of the Synchronized State in a Coupled System of Active Rotators;
University Duisburg-Essen Preprint
arXiv:0802.1105
- M. Ohliger and A. Pelster:
Green's Function Approach to the Bose-Hubbard Model;
University Duisburg-Essen Preprint
arXiv:0810.4399
- A. R. P. Lima and A. Pelster:
Collective Motion of Polarized Dipolar Fermi Gases in the
Hydrodynamic Regime;
Free University of Berlin Preprint
arXiv:0908.4583