Martin Schechter, Hamiltonians for Singular Potentials, Indiana Univ. Math. J. 22 (1973), 483-503


Abstract

pdf version of the abstract

References

[1] N. Aronszajn, F. Mulla, and P. Szeptycki, On spaces of potentials connected with Lp classes, Ann. Inst. Fourier (Grenoble), 13 (1963), pp. 211–306. MathSciNet. Zentralblatt für Mathematik.

[2] Emilio Gagliardo, On integral trasformations with positive kernel, Proc. Amer. Math. Soc., 16 (1965), pp. 429–434. MathSciNet. Zentralblatt für Mathematik.

[3] Tosio Kato, Fractional powers of dissipative operators, J. Math. Soc. Japan, 13 (1961), pp. 246–274. MathSciNet. Zentralblatt für Mathematik.

[4] Martin Schechter, On the invariance of the essential spectrum of an arbitrary operator. II, Ricerche Mat., 16 (1967), pp. 3–26. MathSciNet. Zentralblatt für Mathematik.

[5] Martin Schechter, Spectra of partial differential operators, North-Holland Publishing Co., Amsterdam, 1971, p. xiii+268. MathSciNet. Zentralblatt für Mathematik.

[6] Martin Schechter, Principles of functional analysis, Academic Press, New York, 1971, p. xix+383. MathSciNet. Zentralblatt für Mathematik.

[7] Tosio Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag New York, Inc., New York, 1966, p. xix+592. MathSciNet. Zentralblatt für Mathematik.

[8] François Treves, Topological vector spaces, distributions and kernels, Academic Press, New York, 1967, p. xvi+624. MathSciNet. Zentralblatt für Mathematik.

[9] N. Aronszajn and K. T. Smith, Theory of Bessel potentials. I, Ann. Inst. Fourier (Grenoble), 11 (1961), pp. 385–475. MathSciNet. Zentralblatt für Mathematik.

[10] Julian Schwinger, On the bound states of a given potential, Proc. Nat. Acad. Sci. U.S.A., 47 (1961), pp. 122–129. MathSciNet.

[11] Gian Carlo Ghirardi and Alberto Rimini, On the number of bound states of a given interaction, J. Mathematical Phys., 6 (1965), pp. 40–44. MathSciNet. Zentralblatt für Mathematik.

[12] Barry Simon, Quantum mechanics for Hamiltonians defined as quadratic forms, Princeton University Press, Princeton, N. J., 1971, p. xv+244. MathSciNet. Zentralblatt für Mathematik.

[13] Tosio Kato, Fundamental properties of Hamiltonian operators of Schrödinger type, Trans. Amer. Math. Soc., 70 (1951), pp. 195–211. MathSciNet. Zentralblatt für Mathematik.

[14] William Faris, The product formula for semigroups defined by Friedrichs extensions, Pacific J. Math., 22 (1967), pp. 47–70. MathSciNet. Zentralblatt für Mathematik.

[15] M. Š. Birman, On the spectrum of singular boundary-value problems, Mat. Sb. (N.S.), 55 (97) (1961), pp. 125–174. MathSciNet.

[16] Barry Simon, Hamiltonians defined as quadratic forms, Comm. Math. Phys., 21 (1971), pp. 192–210. MathSciNet. Zentralblatt für Mathematik.

To read this abstract...
IE 6.0 Strictly conforms to W3C stylesheets
IE 5.5 Download Math Player in order to render MathML; does not conform to W3C stylesheets
Mozilla 1.0 Strictly conforms to W3C stylesheets
Netscape 7.0 Install fonts in order to render MathML

Valid XHTML 1.0!