Abstract
This paper is divided into two parts. In the first part, we give a modified definition of time-delay as the limit as r → ∞ of the difference of the sojourn times of a scattering state and of the associated free state in a ‘fuzzy’ ball of radius r in ℝ. The potential W is assumed to be smooth and behave like |x|−α(α > 1) at infinity. For earlier studies on this problem, the reader is referred to [1]–[6]. Here we content ourselves with giving the results, the details appearing in [7].
The first author thanks Prof. E. Balslev for his hospitality at the university of Aarhus and the second author acknowledges the financial support of C.S.I.R., India
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© 1992 Springer-Verlag Berlin Heidelberg
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Sinha, K.B., Mahapatra, A. (1992). Time-Delay in Short Range Potential Scattering. In: Balslev, E. (eds) Schrödinger Operators The Quantum Mechanical Many-Body Problem. Lecture Notes in Physics, vol 403. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55490-4_11
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DOI: https://doi.org/10.1007/3-540-55490-4_11
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