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The Schroedinger Equation (Hardcover, 1991 ed.)
Loot Price: R5,611
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The Schroedinger Equation (Hardcover, 1991 ed.)
Series: Mathematics and its Applications, 66
Expected to ship within 10 - 15 working days
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This volume deals with those topics of mathematical physics,
associated with the study of the SchrAdinger equation, which are
considered to be the most important. Chapter 1 presents the basic
concepts of quantum mechanics. Chapter 2 provides an introduction
to the spectral theory of the one-dimensional SchrAdinger equation.
Chapter 3 opens with a discussion of the spectral theory of the
multi-dimensional SchrAdinger equation, which is a far more complex
case and requires careful consideration of aspects which are
trivial in the one-dimensional case. Chapter 4 presents the
scattering theory for the multi-dimensional non-relativistic
SchrAdinger equation, and the final chapter is devoted to
quantization and Feynman path integrals. These five main chapters
are followed by three supplements, which present material drawn on
in the various chapters. The first two supplements deal with
general questions concerning the spectral theory of operators in
Hilbert space, and necessary information relating to Sobolev spaces
and elliptic equations. Supplement 3, which essentially stands
alone, introduces the concept of the supermanifold which leads to a
more natural treatment of quantization. Although written primarily
for mathematicians who wish to gain a better awareness of the
physical aspects of quantum mechanics and related topics, it will
also be useful for mathematical physicists who wish to become
better acquainted with the mathematical formalism of quantum
mechanics. Much of the material included here has been based on
lectures given by the authors at Moscow State University, and this
volume can also be recommended as a supplementary graduate level
introduction to the spectral theory ofdifferential operators with
both discrete and continuous spectra. This English edition is a
revised, expanded version of the original Soviet publication.
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