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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Wave Equations in Higher Dimensions (Hardcover, 2011 ed.)
Loot Price: R3,061
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Wave Equations in Higher Dimensions (Hardcover, 2011 ed.)
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Higher dimensional theories have attracted much attention because
they make it possible to reduce much of physics in a concise,
elegant fashion that unifies the two great theories of the 20th
century: Quantum Theory and Relativity. This book provides an
elementary description of quantum wave equations in higher
dimensions at an advanced level so as to put all current
mathematical and physical concepts and techniques at the reader's
disposal. A comprehensive description of quantum wave equations in
higher dimensions and their broad range of applications in quantum
mechanics is provided, which complements the traditional coverage
found in the existing quantum mechanics textbooks and gives
scientists a fresh outlook on quantum systems in all branches of
physics.
In Parts I and II the basic properties of the SO(n) group are
reviewed and basic theories and techniques related to wave
equations in higher dimensions are introduced. Parts III and IV
cover important quantum systems in the framework of
non-relativistic and relativistic quantum mechanics in terms of the
theories presented in Part II. In particular, the Levinson theorem
and the generalized hypervirial theorem in higher dimensions, the
Schrodinger equation with position-dependent mass and the
Kaluza-Klein theory in higher dimensions are investigated. In this
context, the dependence of the energy levels on the dimension is
shown. Finally, Part V contains conclusions, outlooks and an
extensive bibliography."
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