Rosenberg Spruch (6 results)
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Seller: Forgotten Books, London, United KingdomForgotten Books
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Paperback. Condition: New. Print on Demand. This book presents findings from a study regarding the scattering phase shifts of one and many body problems in quantum mechanics. The author focuses primarily on the systematic development and examination of a rigorous upper bound on the scattering phase shifts. The author provides an… in-depth examination of the ideas and mathematical tools, such as the Hylleraas-Undheim theorem, that are used to advance these ideas. This book is ideal for research scientists and academics in the quantum physics community. It provides methodological insights that can be applied to further research on the scattering phase shifts of one and many body problems in quantum mechanics. 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.
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Paperback. Condition: New. Print on Demand. This book is a significant contribution to the study of electron-hydrogen scattering, a fundamental process in atomic and molecular physics. It provides a rigorous mathematical framework for determining upper bounds on scattering lengths, a key parameter characterizing the interaction…between electrons and hydrogen atoms. The book builds on the author's previous work on variational methods for scattering problems. By extending these methods to include cases where the trial function can be written in a specific form, the author obtains improved estimates of scattering lengths. These estimates are not only rigorous but also lower and therefore better than those previously obtained by variational methods. The book's main focus is on singlet and triplet scattering of zero-energy electrons by atomic hydrogen. The author provides a detailed analysis of the conditions under which a Kohn variational calculation provides an upper bound on the scattering length. This analysis leads to a generalization of the Kohn variational principle to cases where the trial function contains multiple linear variational parameters. The book also discusses the relationship between the Kohn variational principle and the rigorous bound on the scattering length. The author shows that the Kohn principle provides an upper bound if the trial function can be written in a specific form, and that the resulting estimate is identical to the rigorous bound. The significance of this book lies in its rigorous mathematical treatment of a fundamental scattering problem. The methods developed in this book provide a powerful tool for obtaining accurate estimates of scattering lengths, which are essential for understanding the interactions between electrons and hydrogen atoms. 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.
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Paperback. Condition: New. Print on Demand. This book examines the variational principle in the context of zero energy scattering problems of a particle by a center of potential. The variational principle is an essential tool in the theoretical analysis of scattering problems, particularly in many body problems, where constructi…ng accurate trial functions is more difficult. The author presents a rigorous validity criterion for the variational principle for the case of zero energy scattering of a particle by a center of force, where no bound state exists. It is shown that the Kohn, Hulthen, and Born approximations all provide upper bounds on the scattering length, which characterizes the low energy scattering. The Rubinow formulation need not provide a bound, but the results of calculations based on this formulation can be rearranged to correspond to the Kohn form, thereby obtaining a bound. This book is a valuable resource for researchers and students working on scattering problems, particularly in the field of many body physics. It provides a deeper understanding of the variational principle and its applications in scattering theory and can help guide researchers in their own work on these problems. 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.
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Paperback. Condition: New. Print on Demand. This book investigates rigorous upper bounds on scattering lengths for various one-body problems for zero angular momentum. The author extends a variational expression to the case where the initial relative kinetic energy of the systems is greater than zero, seeking bounds on the phase… shift. A connection between the scattering problem at energy E for a potential, V(r) and the bound state problem for the potential V(r) for 0 ⤠r ⤠R followed by an infinitely repulsive potential for r ⥠R is established. The resulting bounds on the phase shift and on n are discussed in detail, along with methods of obtaining an upper bound on n. The significance of the insights on the main subject lies in their extension to the scattering of one system by another, with the effects of the Pauli principle taken fully into account. 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.
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Paperback. Condition: New. Print on Demand. This book introduces a theoretical framework to determine upper bounds on scattering lengths for zero-energy scattering problems faced in physics. The author presents a critical examination of the existing literature on the subject and formulates a method for obtaining rigorous upper b…ounds on scattering lengths. Ideas like these are of fundamental importance in the investigation of atomic and nuclear phenomena, and this book strategically offers relatable examples for better understanding. The approach detailed in this book provides a useful complement to the reaction theory in quantum mechanics, and the concepts help to recognize the connection between mathematically related problems in different fields of physics. It highlights the generalized variational principle in nonrelativistic quantum mechanics, which achieves its simplicity and effectiveness in obtaining upper and lower bounds of the scattering length. The author extensively covers the abstract theory and includes a separate section on the scattering of a particle by a compound system as well as the case of many bound states. 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.
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Seller: Forgotten Books, London, United KingdomForgotten Books
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Paperback. Condition: New. Print on Demand. This book offers a detailed examination of energy scattering by a compound system, specifically delving into the scattering of positrons on hydrogen. The author presents innovative mathematical techniques to establish useful bounds on the scattering length and phase shift, providing va…luable insights into the behavior of such systems. The book's significance lies in its contribution to the understanding of scattering phenomena, offering a deeper grasp of the interactions between particles in compound systems. It is a valuable resource for researchers and students in the fields of atomic and molecular physics, quantum mechanics, and scattering theory. 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.
