Theory of Simple Scattering and Eigenfunction Expansions

Unitary equivalence of stark Hamiltonians

“…This work consists of a series of estimates leading to a proof of Theorem 1.3 which is given in Section V. The reader unfamiliar with the work in [2][3][4][5][6] dealing with perturbations of -A is advised to gain motivation by working backwards from Section V.…”

Tosio Kato’s work on non-relativistic quantum mechanics: part 2

“…In two papers [362,363], Kato and Kuroda developed what they called an abstract theory of scattering. As Kuroda told me "it was too abstract to become popular" (blaming himself for this).…”

“…KatoKuroda [362,363] have arguments to get this. In his original announcement, Agmon [3] didn't mention scattering.…”

Eigenfunction Expansions and Transformation Theory

“…Such mathematics are being useful on a great variety of areas in Physics. In particular, RHS have been used in the study of Scattering Theory [26], resonances [13,15,2,3,4,14,16], singular states in Statistical Mechanics [36,5,17], spectral decompositions associated to chaotic maps [6,35], time irreversibility [31,4] or axiomatic theory of quantum fields [11].…”