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Validity of Born approximation { If BA applicable |Correction | = (evaluated at r=0) condition for validity of BA Sakurai p386 c.f.1.19.

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Presentation on theme: "Validity of Born approximation { If BA applicable |Correction | = (evaluated at r=0) condition for validity of BA Sakurai p386 c.f.1.19."— Presentation transcript:

1 Validity of Born approximation { If BA applicable |Correction | = (evaluated at r=0) condition for validity of BA Sakurai p386 c.f.1.19

2

3 The Lipmann Schwinger Equation – operator formalism Bra- ket- notation … independent of representation choice

4 Plane wave states : stationary states Orthonormality and completeness

5 The Lipmann Schwinger Equation – operator formalism ( up to complications coming from singular nature of the inverse operator Solution to (2.1) We will prove a consistent regularisation procedure is

6 In position basis

7 The Green function


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