Regularity of Bound States

TY - JOUR

T1 - Regularity of Bound States

AU - Faupin, Jeremy

AU - Møller, Jacob Schach

AU - Skibsted, Erik

PY - 2011

Y1 - 2011

N2 - We study regularity of bound states pertaining to embedded eigenvalues of a self-adjoint operator H, with respect to an auxiliary operator A that is conjugate to H in the sense of Mourre. We work within the framework of singular Mourre theory which enables us to deal with confined massless Pauli–Fierz models, our primary example, and many-body AC-Stark Hamiltonians. In the simpler context of regular Mourre theory, our results boil down to an improvement of results obtained recently in [8, 9].

AB - We study regularity of bound states pertaining to embedded eigenvalues of a self-adjoint operator H, with respect to an auxiliary operator A that is conjugate to H in the sense of Mourre. We work within the framework of singular Mourre theory which enables us to deal with confined massless Pauli–Fierz models, our primary example, and many-body AC-Stark Hamiltonians. In the simpler context of regular Mourre theory, our results boil down to an improvement of results obtained recently in [8, 9].

U2 - 10.1142/S0129055X11004333

DO - 10.1142/S0129055X11004333

M3 - Journal article

SN - 0129-055X

VL - 23

SP - 453

EP - 530

JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

IS - 5

ER -