Excerpt from The Determination of the Scattering Potential From the Spectral Measure Function
In the present paper we shall show how, in many cases, the potential can be obtained from the spectral measure function if we specify the asymptotic behavior of the eigenfunctions of the total Hamiltonian. The procedure which we shall use will be very general and more abstract than those used previously. We shall assume some very general properties of the unperturbed Hamiltonians instead of restricting ourselves to kinetic energy Operators. Furthermore we shall not require that the perturbation be diagonal in a Specific representa tion. It is hoped that in the future the results which we present here can be used to infer potentials from scattering Operators in an abstract way.
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Paperback. Condition: New. Print on Demand. In this groundbreaking book, the author reveals the deep connections between the mathematics of quantum mechanics and a wide range of problems in classical physics. The book illuminates how seemingly disparate phenomena, such as the scattering of waves and the behavior of particles in a potential, can be understood through the lens of a unified mathematical framework. The author's insights provide a profound new perspective on the interplay between the classical and quantum worlds. This book is an essential read for anyone seeking a deeper understanding of the fundamental principles governing our universe. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781333793432_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333793432
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333793432
Quantity: 15 available