A method to study the embedded point spectrum of self-adjoint operators is described. The method combines the Mourre theory and the Limiting Absorption Principle with the Feshbach Projection Method. A more complete description of this method is contained in a joint paper with V. Jakić, where it is applied to a study of embedded point spectrum of Pauli-Fierz Hamiltonians.
@article{SEDP_1998-1999____A23_0, author = {Derezi\'nski, Jan}, title = {Fermi {Golden} {Rule,} {Feshbach} {Method} and embedded point spectrum}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:23}, pages = {1--11}, publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique}, year = {1998-1999}, zbl = {1055.81530}, mrnumber = {1721341}, language = {en}, url = {http://archive.numdam.org/item/SEDP_1998-1999____A23_0/} }
TY - JOUR AU - Dereziński, Jan TI - Fermi Golden Rule, Feshbach Method and embedded point spectrum JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:23 PY - 1998-1999 SP - 1 EP - 11 PB - Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://archive.numdam.org/item/SEDP_1998-1999____A23_0/ LA - en ID - SEDP_1998-1999____A23_0 ER -
%0 Journal Article %A Dereziński, Jan %T Fermi Golden Rule, Feshbach Method and embedded point spectrum %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:23 %D 1998-1999 %P 1-11 %I Centre de mathématiques Laurent Schwartz, École polytechnique %U http://archive.numdam.org/item/SEDP_1998-1999____A23_0/ %G en %F SEDP_1998-1999____A23_0
Dereziński, Jan. Fermi Golden Rule, Feshbach Method and embedded point spectrum. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1998-1999), Exposé no. 23, 11 p. http://archive.numdam.org/item/SEDP_1998-1999____A23_0/
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