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Week
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Topics
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Study Metarials
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1
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Fourier transformation and its properties
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R1) Lecture notes
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2
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Examples of Fourier transformation
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R1) Lecture notes
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3
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Jost solution
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R1) Lecture notes
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4
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Integral representation for Jost solution
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R1) Lecture notes
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5
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Properties of the kernel of Jost solution
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R1) Lecture notes
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6
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Asymptotics of Jost solution
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R1) Lecture notes
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7
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Jost solution and its zeros
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R1) Lecture notes
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8
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Scattering function
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R1) Lecture notes
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9
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Scattering data and its properties
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R1) Lecture notes
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10
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Finding the Gelfand-Levitan equation
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R1) Lecture notes
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11
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Existence and uniqueness of the solution of the Gelfand-Levitan equation
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R1) Lecture notes
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12
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Solution of the inverse problem
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R1) Lecture notes
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13
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Parseval equation
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R1) Lecture notes
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14
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Levinson formula
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R1) Lecture notes
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