Research Interests:

Integrable systems; quantum algebras and groups

models for Bose-Einstein condensates,

strongly correlated electron systems, 

spin ladder compounds



Recent Publications (2003 – July/2008)


1) M. Batchelor,  X.W. Guan, N. Oelkers, K. Sakai, Z. Tsuboi e A. Foerster, Exact results for the thermal and magnetic properties of strong coupling ladder compounds,

Physical Review Letters 91 (2003) 21720;


2) A. P. Tonel,  S. Dahmen,  A. Foerster and A. Malvezzi,  Magnetic  Susceptibility of an exactly solvable spin ladder system, 

Europhysics Letters 64 (2003) 111;


 3) A.P. Tonel, A. Foerster,  K. Hibberd, J. Links, Integrable generalized spin ladder models based on the SU(1/3) and SU(3/1) algebras,

 Journal of Mathematical Physics 44 (2003) 6032;


 4) A. P. Tonel, A. Foerster, X.W. Guan e J. Links, Integrable impurity spin ladder systems, 

 Journal of Physics A36 (2003) 359;


5) M. Batchelor, X.W. Guan, A. Foerster, H.Q. Zhou, Note on the thermodynamic Bethe ansatz approach to the quantum phase diagram of the strong coupling ladder compounds, 

New Journal of Physics5 (2003) 103;


6) M. Batchelor, X.W. Guan, A. Foerster, A.P. Tonel, H.Q. Zhou, Thermodynamic properties of an integrable quantum spin ladder system with boundary impurities,

Nuclear Physics B669 (2003) 385;

7) M. Batchelor, X.W. Guan, N. Oelkers and A. Foerster, Thermal and magnetic properties of integrable spin-1 and spin-3/2 chains with applications to real compounds,  

Journal of Statistical Mechanics- Theory and Experiment, (2004) Art. No. P10017


8)  Z.Ying, I. Roditi, A. Foerster and B. Chen,  Exact  solution and magnetic properties of an anisotropic spin ladder, 

European Physical Journal B 41 (2004) 67

9) Z.Ying,  A.Foerster, X.W.Guan, B.Chen e I. Roditi,  Magnetization plateau and quantum phase transitions in a spin-orbital model, 

European Physical Journal B38 (2004)  535;


10) A. P. Tonel, J. Links and A. Foerster,  Quantum  dynamics of a model for two Josephson-coupled Bose-Einstein condensates, 

Journal of  Physics A: Mathematical and General 38 (2005) 1235;


11) A. P. Tonel, J. Links and A. Foerster, Behaviour of the energy gap in a model of Josephson coupled Bose-Einstein condensates,

Journal of Physics A: Mathematical and General  38 (2005) 6879;


12) J. Links, A.  Foerster. A. Tonel, G. Santos,  The two-site Bose-Hubbard model,

Annales Henri Poincaré, v.7 (2006) 1591-1600.


13) H. Babujian, A. Foerster and M. Karowski, The Form Factor Program: a Review and New Results: the Nested SU(N) Off-Shell Bethe Ansatz,

 Symmetry Integrability and Geometry:  Methods and Applications, v.2 (2006)  82.


14) H. Babujian, A. Foerster and M. Karowski , Exact form factors in integrable quantum field theories: the scaling Z(N)-Ising model

Nuclear Physics B, v. 736 (2006) . 169-198.


15) G. Santos, A. Tonel, A. Foerster and J. Links, Classical and quantum dynamics of a model for atomic-molecular Bose-Einstein condensates,

Physical Review A, v. 73, (2006)  023609.


16) J. He ; K. Tian ; A. Foerster and W-X. Ma, Additional Symmetries and String Equation of the CKP Hierarchy.

Letters in Mathematical Physics, v. 81 (2007)  119-134.


17) A. Foerster and E. Ragoucy, . Exactly solvable models in atomic and molecular physics.

Nuclear Physics. B, v.777 (2007) 373-403.


18) M. Duncan, A. Foerster, J. Links, E. Mattei, N. Oelkers and A. Tonel, Emergent quantum phases in a heteronuclear molecular Bose--Einstein condensate model,

Nuclear Physics B, v.3 (2007) 227-249.


19) H. Baujian, A. Foerster and M. Karowski, The Form Factor Program: a review and new results: 1/N expansion,

Theoretical and Mathematical Physics, v.155 (2008) 512-522;


20) H. Babujian, A Foerster and M. Karowski,  The nested  SU(N) off-shell Bethe ansatz and exact form factors,

Journal of Physics A: Mathematical and Theoretical, v.41 (2008) 275202 (21 p);


21) G. Santos, A. Foerster, I. Roditi, Z. Santos and A. Tonel,   Exactly solvable models for triatomic-molecular BEC,

Journal of Physics A: Mathematical and Theoretical, v.41 (2008)  295003 ( 9 p);


22) J. He ; K. Tian  and A. Foerster, The Virasoro constraints of the BKP hierarchy,

submitted for publication in  Letters in Mathematical Physics (2008);


23) M. T. Batchelor, A. Foerster, X.W. Guan, J. Links and H.Q. Zhou, Quantum Inverse Scattering method with anyonic grading,

submitted for publication in Journal of Physics A: Mathematical and Theoretical (2008);


24) J. He, A.Foerster, X.W.Guan and M. T. Batchelor,  Novel Magnetism and phase transitions in spin ½ attractive Fermi gases with polarization,

submitted for publication in Physical Review B (2008).






(source: Web of Science)






9) A. Foerster, J. Links and H.Q.Zhou, Exact solvability in contemporary Physics,

 review article, published in Classical and Quantum Nonlinear Integrable Systems (2003); edited by A. Kundu, IOP International Press