A REPRESENTATION FORMULA RELATED TO SCHROEDINGER OPERATORS

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摘要 Schroedingeroperatorisacentralsubjectinthemathematicalstudyofquantummechanics.ConsidertheSchrSdingeroperatorH=-Δ+VonR,whereΔ=d^2/dx^2andthepotentialfunctionVisrealvalued.InFourieranalysis,itiswell-knownthatasquareintegrablefunctionadmitsanexpansionwithexponentialsaseigenfunctionsof-Δ.AnaturalconjectureisthatanL^2functionadmitsasimilarexpansionintermsof"eigenfunctions"ofH,aperturbationoftheLaplacian(see[7],Ch.XIandthenotes),undercertainconditiononV.
机构地区 不详
出版日期 2004年03月13日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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