Many-particle Schrödinger type finitely factorized quantum hamiltonian systems and their integrability / Dominik Prorok, Anatolij Prykarpatski // W: Geometric Methods in Physics XXXVIII : Workshop, Białowieża, ... więcej

Many-particle Schrödinger type finitely factorized quantum hamiltonian systems and their integrability / Dominik Prorok, Anatolij Prykarpatski // W: Geometric Methods in Physics XXXVIII : Workshop, Białowieża, Poland, 2019 [Dokument elektroniczny] / eds. Piotr Kielanowski, Anatol Odzijewicz, Emma Previato. – Cham : Birkhäuser, 2020. – (Trends in Mathematics, ISSN 2297-024X). – S. 251-270. – Tryb dostępu: https://link.springer.com/chapter/10.1007%2F978-3-030-53305-2_16. – Bibliogr. 35 poz., Abstr. – doi: 10.1007/978-3-030-53305-2_16. – ISBN 978-3-030-53305-2 (eBook). – ISBN 978-3-030-53304-5

We develop G. A. Goldin and D. H. Sharp’s quantum current algebra approach to many-particle Hamiltonian operators. We demonstrate its deep relationship to the Hamiltonian operators’ factorized structure. ... więcej

We develop G. A. Goldin and D. H. Sharp’s quantum current algebra approach to many-particle Hamiltonian operators. We demonstrate its deep relationship to the Hamiltonian operators’ factorized structure. We investigate this for completely integrable spinless systems, showing the connection with the classical Bethe ansatz ground state representation. The quantum Hamilton operators are considered for integrable delta-potential and oscillatory Caloger-Moser-Sutherland models.