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Walter Felipe Wreszinski Instituto de Física Universidade de São Paulo Departamento de Física Matemática E-mail:  wreszins@fma.if.usp.br

Walter F. Wreszinski is a native of Rio de Janeiro (Brazil) and obtained his Ph.D in 1973 at the Seminar für Theoretische Physik der ETH, Zürich, in the field of mathematical physics. Since 1990 he is full professor at the Departamento de Física Matemática, Instituto de Física, USP (University of São Paulo). His main research interests are mathematical statistical mechanics and quantum field theory.

Selected articles

Quantum Field Theory

1. Wreszinski,W.F.; Jaekel, C. D. A Goldstone theorem in thermal relativistic quantum field theory. Journal of Mathematical Physics v. 51, 012302-1-012302-14 (2010).
   
2. Wreszinski, W. F.; Jaekel, C. D.; Narnhofer, H. On the mixing property for a class of states of relativistic quantum fields. Journal of Mathematical Physics v. 51, 052703-1 - 052703-12 (2010).
   
3. Wreszinski,W.F.; N.A. Kawakami and M.C.Nemes. The Casimir Effect for Parallel Plates Revisited. Journal of Mathematical Physics v.48, 102302 (2007).
   
4. Wreszinski, W. F. ; Manzoni, L. A. . A Theory of the Casimir Effect for Compact Regions. The European Physical Journal C, v. 25, p. 315-325, 2002. (pdf)
   
5. Wreszinski, W. F. ; Manzoni, L. A. . On a Theory of the Casimir Effect. Physics Letters A, v. 292, p. 156-160, 2001.
6. Scharf, G. ; Wreszinski, W. F. ; Pimentel, B. M. ; Tomazelli, J. L. . Causal Approach To (2+1) Dimensional QED. Annals of Physics, v. 231, p. 185-185, 1994. (pdf)
   
7. Wreszinski, W. F. . Charges And Symmetries In Quantum Theories Without Locality. Fortschritte Der Physik-Progress of Physics, v. 35, p. 379, 1987.
   
8. Wreszinski, W. F. ; Barata, J. C. A. . Absence Of Charged States In The U(1)-Higgs Lattice Gauge Theory. Communications in Mathematical Physics, v. 103, p. 637, 1986.
   
9. Wreszinski, W. F. ; Requardt, M. . Temperature States, Ground States and The Relativistic vacuum State in the Context of Symmetry Breaking. Journal of Physics - A, v. 18, p. 705, 1985. (pdf)
   
10. Wreszinski, W. F. . A note on the Bogoliubov Scattering Operator in the (φ⁴)₂ Theories. Theor Math Phys, v. 11, p. 331, 1972.
11. Wreszinski, W. F. . Equal Time Limits of Anticommutators in Relativistic Theories. Nuovo Cimento A, v. 1, p. 691, 1971.

Statistical Mechanics (including disordered systems, quantum chaos, quantum optics and quantum information)

1. W. F. Wreszinski and Domingos H. U. Marchetti. Anderson-like transition for a class of random sparse models in $d \ge 2$ dimensions - J. Stat. Phys. v. 146, 885-899 (2012)
   
2. W. F. Wreszinski. The ground state energy per site of the quantum and classical Edwards-Anderson spin glass in the thermodynamic limit- J. Stat. Phys. v. 146, 118-124 (2012).
   
3. W. F. Wreszinski. Approach to equilibrium for a class of random quantum models of infinite range - J. Stat. Phys. v.138, 567 (2010).
   
4. W. F. Wreszinski; E. Abdalla. A precise formulation of the third law of thermodynamics - J. Stat. Phys. v. 134, 781(2009).
   
5. W.F.Wreszinski; G.L.Sewell. On the mathematical theory of superfluidity-J.Phys.A: Math.Theor.v.42, 015207(2009).
   
6. W.F.Wreszinski. On translational superfluidity and the Landau criterion for Bose gases in the Gross-Pitaevski limit - J.Phys.A: Math.Theor. v.41, 392006 (2008) (fast-track communication)
   
7. W.F.Wreszinski; K.M. Fonseca Romero; J.E.Parreira; L.A.M.Souza; M.C.Nemes. Analytical relation between entropy production and quantum Lyapunov exponents for Gaussian bipartite systems - J.Phys.A v.41, 115303 (2008).
   
8. Wreszinski, W. F. . Passivity of Ground States of Quantum Systems. Reviews in Mathematical Physics, v. 17, p. 1, 2005. (pdf)
   
9. Wreszinski, W. F. ; M. A. da Silva, Jr . Onsager's Inequality, the Landau-Feynman Ansatz and Superfluidity. Journal of Physics A, v. 38, p. 6293-6310, 2005. (pdf)
10. Wreszinski, W. F. ; Angelo, R. M. . Two-Level quantum dynamics, integrability, and unitary NOT gates. Physical Review A - Atomic, Molecular and Optical Physics, v. 72, p. 34105, 2005. (pdf)
    
11. Wreszinski, W. F. ; Bolina JR., O. . A Self Averaging "Order Parameter" for the Sherrington-Kirkpatrick Spin Glass Model. Journal Stat. Phys., v. 116, p. 1389-1404, 2004.
12. Wreszinski, W. F. ; Jauslin, H. R. ; Sapin, O. ; Guerin, S. . Upper Quantum Lyapunov Exponent and Parametric Oscillators. Journal of Mathematical Physics, v. 45, p. 4377, 2004. (pdf)
    
13. Wreszinski, W. F. ; Barata, J. C. A. ; Gitman, D. ; Bagrov, V. . Aspects of Two Level Systems Under External Time-Dependent Fields. J. Phys. A, v. 34, p. 10869-10880, 2001.
14. Wreszinski, W. F. ; Barata, J. C. A. . Strong Coupling Theory of Two Level Atoms in Periodic Fields. Physical Review Letters, v. 84, p. 2112-2115, 2000. (pdf)
    
15. Wreszinski, W. F. ; Casmeridis, S. . Models of two level atoms in Quasiperiodic external fields. Journal of Statistical Physics, v. 90, p. 1061, 1998. (pdf)
    
16. Alcaraz, F. A. C. ; Salinas, S. R. ; Wreszinski, W. F. . Anisotropic Ferromagnetic Quantum Domains. Physical Review Letters, v. 75, p. 930-930, 1995. (pdf)
    
17. Carneiro, C. E. I. ; Oliveira, M. J. ; Wreszinski, W. F. . Ground State Energy of a Quantum Chain With Competing Interactions. Journal of Statistical Physics, v. 79, p. 347-347, 1995.
18. Wreszinski, W. F. ; Hemmen, J. L. V. . Lyapunov Function For The Kuramoto Model Of Nonlinearly Coupled Oscillators. Journal of Statistical Physics, v. 72, p. 145-145, 1993.
    
19. Scharf, G. ; Sonnenmoser, K. ; Wreszinski, W. F. . Sensitive Multiphoton Ionization. Physical Review A - Atomic, Molecular and Optical Physics, v. 44, p. 3250-3250, 1991. (pdf)
    
20. Cibils, M. B. ; Cuche, Y. ; Marvulle, V. ; Wreszinski, W. F. . On The Connection Between The Pegg-Barnett And Bialynicki-Birula Phase Operators. Physical Review A, v. 43, p. 4044-4044, 1991.
21. Wreszinski, W. F. . On the distribution of the effective field for a spin glass on a Cayley tree at zero temperature. Journal Physics A Lett., v. 23, p. 79, 1990.
22. Wreszinski, W. F. ; Alcaraz, F. C. . The Heisenberg XXZ Hamiltonian with Dzyaloshinsky - Moriya Interactions. Journal of Statistical Physics, v. 58, p. 45, 1990.
    
23. Wreszinski, W. F. ; Cibils, M. ; Cuche, Y. ; Amiet, J. P. ; Beck, H. . On the Classical Limits in the Spin Boson Model. Journal of Physics - A, v. 23, p. 545, 1990.
24. Wreszinski, W. F. ; Godoy, N. F. ; Graham, R. . Quantization of the Kaplan - Yorke Model. Journal of Physics - A, v. 23, p. 157, 1990.
25. Wreszinski, W. F. ; Spohn, H. ; Stuckl, R. . Localization for the Spin - J. Boson Hamiltonian. Ann Inst Henri Poincaré, v. 53, p. 225, 1990.
    
26. Wreszinski, W. F. ; Scharf, G. ; Sonnenmoser, K. . Multiphoton Ionization in a Soluble Model. Europhysics Letters, v. 10, p. 19, 1989.
27. Wreszinski, W. F. ; van Hemmen, J. L. . Universal Upper Bound For The Tunneling Rate Of A Large Quantum Spin. Communications in Mathematical Physics, v. 119, p. 213, 1988.
    
28. Wreszinski, W. F. . Charges And Symmetries In Quantum Theories Without Locality. Fortschritte Der Physik-Progress of Physics, v. 35, p. 379, 1987.
    
29. Wreszinski, W. F. ; Scharf, G. . On The Relation Between Classical And Quantum Statistical Mechanics. Communications in Mathematical Physics, v. 110, p. 1, 1987.
30. Wreszinski, W. F. ; Scharf, G. ; van Hemmen, J. L. . Tunneling of A Large Spin: Mapping Onto A Particle Problem. Journal of Physics - A, v. 20, p. 4309, 1987.
31. Wreszinski, W. F. ; Salinas, S. R. . The Mean Field Ising Model In A Random External Magnetic Field. Journal of Statistical Physics, v. 41, p. 199, 1985.
32. Wreszinski, W. F. ; Brito, A. A. S. ; van Hemmen, J. L. . Spin Waves In Quantum Ferromagnets. Journal of Statistical Physics, v. 37, p. 187, 1984.
33. Wreszinski, W. F. ; Landau, L. J. ; Perez, J. F. . Energy Gap. Clustering And The Goldstone Theorem In Quantum Statistical Mechanics. Journal of Statistical Physics, v. 26, p. 755, 1981.
    
34. Wreszinski, W. F. ; Romerio, M. . On The Lifschitz Singularity And The Tailing In The Density Of States For Model Lattice Systems. Journal of Statistical Physics, v. 21, p. 169, 1979.
    
35. Wreszinski, W. F. . Essential Singularities Of The Specific Heat And Of The Density Of States In A Model Of A Random Harmonic Chain. Physics Letters A, v. 62, p. 15, 1977.
    

Analysis

1. S.L. de Carvalho; D. H. U. Marchetti; W. F. Wreszinski - Sparse block-Jacobi matrices with arbitrarily accurate Hausdorff dimension- Jour. Math. Anal. Appl. v.368, 218-234 (2010).
   
2. D. H. U. Marchetti; W. F. Wreszinski; L. F. Guidi; R. M. Angelo - Spectral transition in a sparse model and a class of nonlinear dynamical systems -
   Nonlinearity v. 20, 765-787 (2007).
   
3. Wreszinski, W.F.; Vuillermot, P. A.; Zagrebnov, V.A.. A general Trotter-Kato formula for a class of evolution operators - Journal of Functional Analysis v. 257, 2246-2290 (2009).
   
4. W.F.Wreszinski; Vuillermot P.A.; Zagrebnov, V.A.. A Trotter-Kato product formula for a class of non-autonomous evolution equations. Nonlinear Analysis v. 69, p.1067 (2008)
   
5. Wreszinski, W. F. ; Cattaneo, U. . Contractions of Lie Algebra Representations. Rev Math Phys, v. 11, p. 1179-1207, 1999.
6. Wreszinski, W. F. ; Marvulle, V. . On Lax Pairs and Indefinite Metric Structure for the Nonlinear Schröedinger Equation. Inverse Problems, v. 5, p. 53, 1989.
7. Wreszinski, W. F. ; Henry, D. B. ; Perez, J. F. . Stability Theory For Solitary Wave Solutions Of Scalar Field Equations. Communications in Mathematical Physics, v. 85, p. 35, 1982.