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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Mellin Transform Methods In Solving Schrödinger's equation

Mellin Transform Methods In Solving Schrödinger's equation

Mehrem, Rami

Paperback

General EducationGeneral Science

ISBN13: 9798245662121
Publisher: Independently Published
Published: Jan 26 2026
Pages: 82
Weight: 0.47
Height: 0.17 Width: 8.50 Depth: 11.00
Language: English
This book is intended for students and researchers in STEM as a reference to the Mellin transform. It exploits the advantage of using the Mellin transform, potentially turning a second order linear differential equation into a first order linear difference equation, which is solvable by iteration. This is applied exclusively to Schrödinger's equation in this book. This method is actually more powerful than the Laplace transform method, as it leads to a solution for any solvable potential model. For the case of unsolvable potentials, the Mellin transform turns Schrödinger's equation into a higher order difference equation or a differential-difference equation which cannot be solved by iteration; these cases will not be discussed in this book. Some mathematical rigour is removed to make the material more accessible.

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