Spectrum-generating algebras for the supersymmetric Morse and Pöschl-Teller Hamiltonians.

Piette, B.; Vinet, L.

doi:10.1016/0375-9601(87)90165-4

A class of two dimensional models with extended structure solutions. (1992)
Journal Article
Piette, B., Tchrakian, D., & Zakrzewski, W. (1992). A class of two dimensional models with extended structure solutions. Zeitschrift für Physik. C, Particles and fields, 54(3), 497-502. https://doi.org/10.1007/bf01559470

A class of N dimensional models with extended structure solutions (1992)
Journal Article
Chakrabarti, A., Piette, B., Tchrakian, D., & Zakrzewski, W. (1992). A class of N dimensional models with extended structure solutions. Zeitschrift für Physik. C, Particles and fields, C( 56), 461-467

Models with Solitons in (2+1) Dimensions (1992)
Journal Article
Izquierdo, J., Piette, B., Rashid, M., & Zakrzewski, W. (1992). Models with Solitons in (2+1) Dimensions. Zeitschrift für Physik. C, Particles and fields, C( 53),

Solitons Scattering in the Skyrme model in (2+1) Dimensions: 1. Soliton-Soliton Case (1992)
Journal Article
Peyrard, M., Piette, B., & Zakrzewski, W. (1992). Solitons Scattering in the Skyrme model in (2+1) Dimensions: 1. Soliton-Soliton Case. Nonlinearity, 563-583

Solitons Scattering in the Skyrme model in (2+1) Dimensions: 2. More General Systems (1992)
Journal Article
Peyrard, M., Piette, B., & Zakrzewski, W. (1992). Solitons Scattering in the Skyrme model in (2+1) Dimensions: 2. More General Systems. Nonlinearity, 585-600

Some Classes of General Solutions of the U(N) Chiral $\sigma$ Models in two Dimensions (1989)
Journal Article
Piette, B., & Zakrzewski, W. (1989). Some Classes of General Solutions of the U(N) Chiral $\sigma$ Models in two Dimensions. Journal of Mathematical Physics, 30, 2233-2237. https://doi.org/10.1063/1.528548

Finite energy solutons for (1+1)‐dimensional σ models. (1989)
Journal Article
Piette, B., & Zakrzewski, W. (1989). Finite energy solutons for (1+1)‐dimensional σ models. Journal of Mathematical Physics, 31, 916-923. https://doi.org/10.1063/1.528772

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

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

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

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),

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

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/10.1088/0264-9381/5/2/010

The 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

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