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
All Outputs (128)
Some Solutions of the U(N) Sigma Models (1988)
Presentation / Conference Contribution
Piette, B. (1988, December). Some Solutions of the U(N) Sigma Models. Presented at Proc. 16th international Colloquium on Group Theoretical Methods in Physics, Varna
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 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
Classical Non-Linear $\sigma$ Models on Grassmann Manifolds (1987)
Presentation / Conference Contribution
Antoine, J.-P., & Piette, B. (1987, December). Classical Non-Linear $\sigma$ Models on Grassmann Manifolds. Presented at Recent Development in Mathematical Physics, Schladming