Abstract
Consider a single non-relativistic particle moving in a potential \(V(\underline r )\). The Hamiltonian H will be some self-adjoint extension of \(- {\nabla ^2} + \,V\,(\underline r )\), acting in the Hilbert space H= L2 (IR 3) (We choose units such that ħ = 2m =1.)
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
T. Kato,“Perturbation Theory for Linear Operators” ( 2nd Edition ); Berlin, Springer (1976).
P. Halmos, “Measure Theory”, Princeton: Van Norstrand (1950).
R. Bartle, “The Elements of Integration”, New York: Wiley (1966)
K. Sinha, Ann. Inst. Henri Poincaré 26: 263 (1977).
W. Amrein and V. Georgescu, Helv. Phys. Acta 46: 635 (1973).
E. Coddington and N. Levinson, “Theory of Ordinary Differential Equations”, New York, McGraw-Hill (1955).
D. Pearson, Comm. Math. Phys. 40: 125 (1975).
D. Pearson, Comm. Math. Phys. 60: 13 (1978).
W. Amrein and V. Georgescu, Helv. Phys. Acta 47: 517 (1974).
W. Amrein, D. Pearson and M. Wollenberg, Evanescence of States and Asymptotic Completenes, to be published in Helv.Phys. Acta.
D. Yafaev, Comm. Math. Phys. 65: 167 (1979).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1981 Plenum Press, New York
About this chapter
Cite this chapter
Pearson, D.B. (1981). Spectral Properties and Asymptotic Evolution in Potential Scattering. In: Velo, G., Wightman, A.S. (eds) Rigorous Atomic and Molecular Physics. NATO Advanced Study Institutes Series, vol 74. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3350-0_3
Download citation
DOI: https://doi.org/10.1007/978-1-4613-3350-0_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-3352-4
Online ISBN: 978-1-4613-3350-0
eBook Packages: Springer Book Archive