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Response to ``Comment on `On the Coulomb potential in one dimension' '' by Fischer, Leschke and Müller

P Kurasov

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COMMENT

The differential operator , , in one dimension is studied using distribution theory. It is proven that there exists a unique self-adjoint operator corresponding to the differential expression understood in the principle-value sense. Point interactions determined by the singular operator are studied.


PACS

02.50.Ng Distribution theory and Monte Carlo studies

02.30.Tb Operator theory

03.65.Ge Solutions of wave equations: bound states

MSC

35J10 Schrödinger operator (See also 35Pxx)

47F05 Partial differential operators (See also 35Pxx, 58Jxx)

81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis

Subjects

Mathematical physics

Computational physics

Quantum information and quantum mechanics

Dates

Issue 15 (7 August 1997)

Received 14 March 1997



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