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- 464 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Qualitative Methods In Quantum Theory
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About This Book
This unique book, written by a leading Soviet theorist, is not a textbook of quantum mechanics but rather a compendium of the "tricks of the trade"-the methods that all practicing theoretical physicists use but few have set down in writing.
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Yes, you can access Qualitative Methods In Quantum Theory by Migdal in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Physics. We have over one million books available in our catalogue for you to explore.
CHAPTER 1
DIMENSIONAL AND âMODELâ APPROXIMATIONS
No problem in physics can ever be solved exactly. We always have to neglect the effect of various factors which are unimportant for the particular phenomenon we have in mind. It then becomes important to be able to estimate the magnitude of the quantities we have neglected. Moreover, before calculating a result numerically it is often necessary to investigate the phenomenon qualitatively, that is, to estimate the order of magnitude of the quantities we are interested in and to find out as much as possible about the general behaviour of the solution.
To this end we first consider the problem in the most simplified form possible. For instance, in the case of a particle moving in a Coulomb field, we replace the problem by that of its motion in a square well potential with an appropriately chosen depth and width depending on the particle energy, and so on. Moreover, we should consider all the limiting cases in which the solution is simplified. For instance, if it is required to solve the problem of scattering of particles of arbitrary energy, we should first consider the limits of small and large energy and trace out how the corresponding expressions match up in the intermediate-energy region. The aim of this chapter is to instruct the reader in the art of obtaining approximate solutions from dimensional estimates with the aid of a simplified model of the phenomenon to be investigated.
Fig. 1
In some cases dimensional techniques actually enable one to get quantitative rather than merely qualitative results. For instance, we can prove Pythagorasâ theorem purely fro...
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Table of Contents
- Editorâs Foreword
- Translatorâs Note
- Preface
- CHAPTER 1 DIMENSIONAL AND âMODELâ APPROXIMATIONS
- CHAPTER 2 VARIOUS TYPES OF PERTURBATION THEORY
- CHAPTER 3 THE QUASICLASSICAL APPROXIMATION
- CHAPTER 4 THE ANALYTIC PROPERTIES OF PHYSICAL QUANTITIES
- CHAPTER 5 METHODS IN THE MANY-BODY PROBLEM
- CHAPTER 6 QUALITATIVE METHODS IN QUANTUM FIELD THEORY
- Index