Abstract
In this work, we generalize the well-known bounds of Glaser, Grosse, Martin, and Thirring on the number of bound states of a particle in a spherically symmetric potential. The new bounds fill the gap between the above bounds, and the Calogero bound.
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References
Glaser, V., Grosse, H., Martin, A., Thirring, W.: in “Essays in Honor of Valentine Bargmann” /1976/, edited by E.H. Lieb, B. Simon, and A.S. Wightman (Princeton University Press, Princeton).
Calogero, F. /1965/: Comm. Math. Phys. 1, 80.
Calogero, F. /1967/: The Variable Phase Approach to Potential Scattering (Academic Press, New York).
Chadan, K. /1968/: Nuovo Cimento, 58A, 191.
Frank, W. M. /1967/: J. Math. Phys. 8, 466.
Martin, A. /1972/: Helv. Phys. Acta 45, 142.
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© 1990 Springer-Verlag
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Chadan, K., Kobayashi, R. (1990). Some new bounds on the number of bound states. In: Ciulli, S., Scheck, F., Thirring, W. (eds) Rigorous Methods in Particle Physics. Springer Tracts in Modern Physics, vol 119. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0117551
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DOI: https://doi.org/10.1007/BFb0117551
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