Abstract:
In this paper we present a proof of the non-integrability in the Liouvillian sense of the Stark–Zeeman Hamiltonian. In particular, we generalize the result of Kummer and Saenz about the non-integrability of the pure Zeeman Hamiltonian. The proof we give is an application of the theorem of Morales and Ramis (1998) about non-integrability, based on differential Galois theory.
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Received: 30 March 1999 / Accepted: 16 May 1999
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Ferrer, S., Mondéjar, F. On the Non-Integrability of the Stark–Zeeman Hamiltonian System. Comm Math Phys 208, 55–63 (1999). https://doi.org/10.1007/s002200050747
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DOI: https://doi.org/10.1007/s002200050747