Solutions of the supersymmetric U(N) $\sigma$ Models with the Wess-Zumino-Witten Term
(1988)
Journal Article
Piette, B., Zait, R., & Zakrzewski, W. (1988). Solutions of the supersymmetric U(N) $\sigma$ Models with the Wess-Zumino-Witten Term. Zeitschrift für Physik. C, Particles and fields, C( 44),
All Outputs (128)
Solution of Euclidean $\sigma$ Models on Non-Compact Grassmann Manifolds (1988)
Journal Article
Antoine, J., & Piette, B. (1988). Solution of Euclidean $\sigma$ Models on Non-Compact Grassmann Manifolds. Journal of Mathematical Physics, 29(7), 1687-1697. https://doi.org/10.1063/1.527917
General Classical Solutions of the U(3) and U(4) Chiral $\sigma$ Models in two Dimensions (1988)
Journal Article
Piette, B., & Zakrzewski, W. (1988). General Classical Solutions of the U(3) and U(4) Chiral $\sigma$ Models in two Dimensions. Nuclear Physics B, B(300), https://doi.org/10.1016/0550-3213%2888%2990594-9
Properties of Classical Solutions of the U(N) Chiral $\sigma$Models in two Dimensions (1988)
Journal Article
Piette, B., & Zakrzewski, W. (1988). Properties of Classical Solutions of the U(N) Chiral $\sigma$Models in two Dimensions. Nuclear Physics B, B(300), https://doi.org/10.1016/0550-3213%2888%2990595-0
Explicit Solutions of Grassmannian $\sigma$ Models (1988)
Journal Article
Piette, B. (1988). Explicit Solutions of Grassmannian $\sigma$ Models. Journal of Mathematical Physics, 29, 2190-2196. https://doi.org/10.1063/1.528147
On stability of solutions of theU(N) chiral model in two dimensions. (1988)
Journal Article
Piette, B., Stokoe, I., & Zakrzewski, W. (1988). On stability of solutions of theU(N) chiral model in two dimensions. Zeitschrift für Physik. C, Particles and fields, 37(3), 449-455. https://doi.org/10.1007/bf01578140
Solutions of the U(N) $\sigma$ Models with the Wess-Zumino Term (1988)
Journal Article
Piette, B., Zait, R., & Zakrzewski, W. (1988). Solutions of the U(N) $\sigma$ Models with the Wess-Zumino Term. Zeitschrift für Physik. C, Particles and fields, 39(3), 359-364. https://doi.org/10.1007/bf01548285
Solutions of Minkowskian $\sigma$ Models on Hyperbolic Complex Grassmann Manifolds. (1988)
Journal Article
Lambert, D., & Piette, B. (1988). Solutions of Minkowskian $\sigma$ Models on Hyperbolic Complex Grassmann Manifolds. Classical and Quantum Gravity, 5(2), 307-319. https://doi.org/10.1088/0264-9381/5/2/010The authors define two-dimensional Minkowskian sigma models valued in hyperbolic complex Grassmann manifolds. They construct a different kind of solution using hyperbolic analytic functions. They exhibit graphs of a few explicit solutions.
Classical Non-Linear $\sigma$ Models on Grassmann Manifolds (1987)
Presentation / Conference Contribution
Antoine, J., & Piette, B. (1987). Classical Non-Linear $\sigma$ Models on Grassmann Manifolds. In H. Mitter, & L. Pittner (Eds.),
Classical Non-Linear $\sigma$ Models on Grassmann Maniflods of Compact or Non-Compact type (1987)
Journal Article
Antoine, J., & Piette, B. (1987). Classical Non-Linear $\sigma$ Models on Grassmann Maniflods of Compact or Non-Compact type. Journal of Mathematical Physics, 28, 2753-2762. https://doi.org/10.1063/1.527723
Spectrum-generating algebras for the supersymmetric Morse and Pöschl-Teller Hamiltonians. (1987)
Journal Article
Piette, B., & Vinet, L. (1987). Spectrum-generating algebras for the supersymmetric Morse and Pöschl-Teller Hamiltonians. Physics Letters A, A(125), 380-384. https://doi.org/10.1016/0375-9601%2887%2990165-4
Solitons Scattering in the Skyrme model in (2+1) Dimensions: 1. Soliton-Soliton Case
Journal Article
Peyrard, M., Piette, B., & Zakrzewski, W. (online). Solitons Scattering in the Skyrme model in (2+1) Dimensions: 1. Soliton-Soliton Case. Nonlinearity, 563-583
Some aspects of scattering of skyrmions in (2+1) dimensions
Journal Article
Piette, B., & Zakrzewski, W. (online). Some aspects of scattering of skyrmions in (2+1) dimensions. Nonlinearity, 231-244
Spontaneous Localisation of Electrons in Two-dimensional Lattices within the Adiabatic Approximation.
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (online). Spontaneous Localisation of Electrons in Two-dimensional Lattices within the Adiabatic Approximation. Journal of Mathematical Physics, 3689-3697
Solitons Scattering in a $CP^{2}$ Model
Journal Article
Piette, B., Rashid, M., & Zakrzewski, W. (online). Solitons Scattering in a $CP^{2}$ Model. Nonlinearity, 1077-1090
Solitons Scattering in the Skyrme model in (2+1) Dimensions: 2. More General Systems
Journal Article
Peyrard, M., Piette, B., & Zakrzewski, W. (online). Solitons Scattering in the Skyrme model in (2+1) Dimensions: 2. More General Systems. Nonlinearity, 585-600
Electron Self-Trapping in Discrete Two-Dimensional Lattices: II. Analytical Study.
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (online). Electron Self-Trapping in Discrete Two-Dimensional Lattices: II. Analytical Study
Skyrmion Dynamics in (2+1) dimensions
Journal Article
Piette, B., & Zakrzewski:, W. (online). Skyrmion Dynamics in (2+1) dimensions. Chaos, Solitons and Fractals, 2495-2508. https://doi.org/10.1016/0960-0779%2894%29e0111-2
Image Analysis with Two-dimensional Continuous Wavelet Transform
Journal Article
Antoine, J.-P., Carrete, P., Murenzi, R., & Piette, B. (online). Image Analysis with Two-dimensional Continuous Wavelet Transform. Signal Processing, 241-272
SU(N) Skyrmions and Harmonic Maps,
Journal Article
Ioannidou, T., Piette, B., & Zakrzewski, W. (online). SU(N) Skyrmions and Harmonic Maps,. Journal of Mathematical Physics, 6353-6365