Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Quantum Mechanics in Spaces of Constant Curvature (Hardcover, New)
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Quantum Mechanics in Spaces of Constant Curvature (Hardcover, New)
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Quantum mechanics had been started with the theory of the hydrogen
atom, so when considering the quantum mechanics in Riemannian
spaces it is natural to turn first to just this simplest system. A
common quantum-mechanical hydrogen atom description is based
materially on the assumption of the Euclidean character of the
physical 3-space geometry. In this context, natural questions
arise: what in the description is determined by this special
assumption, and which changes will be entailed by allowing for
other spatial geometries. The questions are of fundamental
significance, even beyond their possible experimental testing. In
the present book, detailed analytical treatment and exact solutions
are given to a number of problems of quantum mechanics and field
theory in simplest non-Euclidean spacetime models. The main
attention is focused on new themes created by non-vanishing
curvature in classical physical topics and concepts.
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