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Mellin Transform Methods In Solving Schrödinger's equation

Name: Mellin Transform Methods In Solving Schrödinger's equation
Brand: Independently published
SKU: 50853936
Price: 7807 HUF
Availability: InStock
Author: Rami Mehrem
ISBN: 9798245662121

Rami Mehrem

Language

English

Book Paperback

Libristo code: 50853936

Publishers Independently published, January 2026

This book is intended for students and researchers in STEM as a reference to the Mellin transform. I... Full description

Libristo code: 50853936

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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.