Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects

434 Pages·2015·2.172 MB·English

by  Fabio Bagarello, Jean-Pierre Gazeau, Franciszek Hugon Szafraniec, Miloslav Znojil (eds.)

NON-SELFADJOINT
OPERATORS IN
QUANTUM PHYSICS

NON-SELFADJOINT
OPERATORS IN
QUANTUM PHYSICS
Mathematical Aspects
Editors:
FABIOBAGARELLO
UniversitàdiPalermoandINFN
JEANPIERREGAZEAU
UniversitéParisDiderot,SorbonneParisCité
CentroBrasileirodePesquisasFísicas,RiodeJaneiro
FRANCISZEKHUGONSZAFRANIEC
UniwersytetJagiellon´ski
MILOSLAVZNOJIL
ÚstavjadernéfyzikyAVCˇR,Rˇež
Copyright©2015byJohnWiley&Sons,Inc.Allrightsreserved
PublishedbyJohnWiley&Sons,Inc.,Hoboken,NewJersey
PublishedsimultaneouslyinCanada
Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmittedinanyformor
byanymeans,electronic,mechanical,photocopying,recording,scanning,orotherwise,exceptas
permittedunderSection107or108ofthe1976UnitedStatesCopyrightAct,withouteithertheprior
writtenpermissionofthePublisher,orauthorizationthroughpaymentoftheappropriateper-copyfeeto
theCopyrightClearanceCenter,Inc.,222RosewoodDrive,Danvers,MA01923,[phone],fax
[phone],oronthewebatwww.copyright.com.RequeststothePublisherforpermissionshould
beaddressedtothePermissionsDepartment,JohnWiley&Sons,Inc.,111RiverStreet,Hoboken,NJ
07030,[phone],fax[phone],oronlineathttp://www.wiley.com/go/permissions.
LimitofLiability/DisclaimerofWarranty:Whilethepublisherandauthorhaveusedtheirbesteffortsin
preparingthisbook,theymakenorepresentationsorwarrantieswithrespecttotheaccuracyor
completenessofthecontentsofthisbookandspecificallydisclaimanyimpliedwarrantiesof
merchantabilityorfitnessforaparticularpurpose.Nowarrantymaybecreatedorextendedbysales
representativesorwrittensalesmaterials.Theadviceandstrategiescontainedhereinmaynotbesuitable
foryoursituation.Youshouldconsultwithaprofessionalwhereappropriate.Neitherthepublishernor
authorshallbeliableforanylossofprofitoranyothercommercialdamages,includingbutnotlimitedto
special,incidental,consequential,orotherdamages.
Forgeneralinformationonourotherproductsandservicesorfortechnicalsupport,pleasecontactour
CustomerCareDepartmentwithintheUnitedStatesat(800)762-2974,outsidetheUnitedStatesat
[phone]orfax(317)572-4002.
Wileyalsopublishesitsbooksinavarietyofelectronicformats.Somecontentthatappearsinprintmay
notbeavailableinelectronicformats.FormoreinformationaboutWileyproducts,visitourwebsiteat
www.wiley.com.
LibraryofCongressCataloging-in-PublicationData:
Non-selfadjointoperatorsinquantumphysics:mathematicalaspects/editors:FabioBagarello,Jean
PierreGazeau,FranciszekHugonSzafraniec,MiloslavZnojil.
pagescm
Includesindex.
ISBN978-1-118-85528-7(cloth)
1.Nonselfadjointoperators.2.Spectraltheory(Mathematics)3.Quantumtheory–Mathematics.
4.Hilbertspace.I.Bagarello,Fabio,1964-editor.II.Gazeau,Jean-Pierre,editor.III.Szafraniec,
FranciszekHugon,editor.IV.Znojil,M.(Miloslav),editor.
QA329.2.N672015
530.1201′515724–dc23
2014048325
Typesetin10/12pt,TimesLtStdbySPiGlobal,Chennai,India
PrintedintheUnitedStatesofAmerica
10987654321
1 2015
ToCharlesHermite
withapologies

CONTRIBUTORS
Sergio Albeverio Institut für Angewandte Mathematik, Universität Bonn,
Bonn, Germany CERFIM, Locarno, Switzerland Department of Mathematics
andStatistics,KingFahdUniversityofPetroleumandMinerals,Dhahran,Saudi
Arabia
Jean-PierreAntoine InstitutdeRechercheenMathématiqueetPhysique,Uni-
versitécatholiquedeLouvain,Louvain-la-Neuve,Belgium
FabioBagarello UniversitàdiPalermoandINFN,Torino,Italy
Emanuela Caliceti Dipartimento di Matematica, Università di Bologna,
Bologna,Italy
Sandro Graffi Dipartimento di Matematica, Università di Bologna, Bologna,
Italy
SergiiKuzhel AGHUniversityofScienceandTechnology,Kraków,Poland
DavidKrejcˇirˇík NuclearPhysicsInstitute,ASCR,Rˇež,CzechRepublic
PetrSiegl MathematicalInstitute,UniversityofBern,Bern,Switzerland
Franciszek Hugon Szafraniec Instytut Matematyki, Uniwersytet
Jagiellon´ski,Kraków,Poland
Camillo Trapani Dipartimento di Matematica e Informatica, Università di
Palermo,Palermo,Italy
MiloslavZnojil NuclearPhysicsInstitute,ASCR,Rˇež,CzechRepublic