This article is cited in 37 papers

Quantum-mechanical models in $R_n$ associated with extensions of the energy operator in a Pontryagin space

Yu. G. Shondin


Abstract: 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.

Received: 25.11.1985
Revised: 01.10.1986

 English version: Theoretical and Mathematical Physics, 1988, 74:3, 220–230

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