Geodesic
Quantum-mechanical models in $R_n$ associated with extensions of the energy operator in a Pontryagin space
Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 3, pp. 331-344 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper describes self-adjoint extensions of the operator $H_0=-\Delta$ from the Hilbert space $L_2(R_n)$ to a certain Pontryagin space generated by “interactions” represented by generalized functions. Hamiltonians of quantum-mechanical models are obtained by restricting such extensions to positive invariant subspaces. 
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     author = {Yu. G. Shondin},
     title = {Quantum-mechanical models in~$R_n$ associated with extensions of the energy operator in {a~Pontryagin} space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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Yu. G. Shondin. Quantum-mechanical models in $R_n$ associated with extensions of the energy operator in a Pontryagin space. Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 3, pp. 331-344. http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a1/

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