1. On the Mourre estimates for Floquet Hamiltonians.
- Author
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Adachi, Tadayoshi and Kiyose, Amane
- Subjects
- *
SCHRODINGER operator , *SCATTERING (Mathematics) , *SPECTRAL theory , *OPERATOR theory , *ESTIMATES - Abstract
In the spectral and scattering theory for a Schrödinger operator with a time-periodic potential H (t) = p 2 / 2 + V (t , x) , the Floquet Hamiltonian K = - i ∂ t + H (t) associated with H(t) plays an important role frequently, by virtue of the Howland–Yajima method. In this paper, we introduce a new conjugate operator for K in the standard Mourre theory, that is different from the one due to Yokoyama, in order to relax a certain smoothness condition on V. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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