The Propagators for Δ and Δ′ Potentials With Time-Dependent Strengths
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Abstract
We study the time-dependent Schrodinger equation with finite number of Dirac delta and delta ' potentials with time dependent strengths in one dimension. We obtain the formal solution for generic time dependent strengths and then we study the particular cases for single delta potential and limiting cases for finitely many delta potentials. Finally, we investigate the solution of time dependent Schrodinger equation for delta ' potential with particular forms of the strengths.
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Keywords
Propagator, Delta potentials, Delta prime potentials, Green's function, Schrodinger equation, Time dependent Schrodinger equation, Physics, QC1-999, Delta potentials, delta prime potentials, propagator, delta potentials, time dependent Schrödinger equation, Green's function, Propagator, Delta prime potentials
Fields of Science
0103 physical sciences, 01 natural sciences
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WoS Q
Q2
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Q3
OpenCitations Citation Count
3
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Frontiers in Physics
Volume
8
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Scopus : 5
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5
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5
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1367
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