Quantum Mechanics in Hilbert Space

Acriticalpresentationofthebasicmathematicsofnonrelativisticquantummechanics,thistextissuitableforcoursesinfunctionalanalysisattheadvancedundergraduateandgraduatelevels.Itsreadableandself-containedformisaccessibleeventostudentswithoutanextensivemathematicalbackground.Applicationsofbasictheoremstoquantummechanicsmakeitofparticularinteresttomathematiciansworkinginfunctionalanalysisandrelatedareas.Thistextfeaturestherigorousproofsofallthemainfunctional-analyticstatementsencounteredinbooksonquantummechanics.Itfillsthegapbetweenstrictlyphysics-andmathematics-orientedtextsonHilbertspacetheoryasappliedtononrelativisticquantummechanics.Organizedintheformofdefinitions,theorems,andproofsoftheorems,itallowsreaderstoimmediatelygraspthebasicconceptsandresults.Exercisesappearthroughoutthetext,withhintsandsolutionsattheend.