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Quantum mechanics: Non-relativistic theory,
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The basic concepts of quantum mechanics Energy and momentum Schrodinger's equation Angular momentum Perturbation theory Spin The identity of particles The atom The theory of symmetry Polyatomic molecules Motion in a magnetic field Nuclear structure Elastic collisions Mathematical appendices.Abstract:
The basic concepts of quantum mechanics Energy and momentum Schrodinger's equation Angular momentum Perturbation theory Spin The identity of particles The atom The theory of symmetry Polyatomic molecules Motion in a magnetic field Nuclear structure Elastic collisions Mathematical appendices.read more
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Wigner's dynamical transition state theory in phase space: classical and quantum
TL;DR: In this article, the authors developed a normal form for describing the dynamics in the neighbourhood of a specific type of saddle point that governs the evolution from reactants to products in high dimensional systems.
Posted ContentDOI
Rotating trapped Bose-Einstein condensates
TL;DR: In this paper, the authors discuss the effect of interactions on the formation of a Bose-Einstein condensate (BEC), along with the dynamics of small-amplitude perturbations (the Bogoliubov equations).
Journal ArticleDOI
Resonances in One Dimension and Fredholm Determinants
TL;DR: In this article, the Schrodinger operators in whole-and half-line problems were discussed and a result on the number of antibound states between any two bound states was proved.
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Quantum Equilibrium and the Role of Operators as Observables in Quantum Theory
TL;DR: It is often argued that the quantum mechanical association of observables with selfadjoint operators is a straightforward generalization of the notion of classical observable, and that quantum theory should be no more conceptually problematic than classical physics once this is appreciated as mentioned in this paper.
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Uniform WKB, Multi-instantons, and Resurgent Trans-Series
Gerald V. Dunne,Mithat Ünsal +1 more
TL;DR: In this article, the authors illustrate the physical significance and mathematical origin of resurgence trans-series expansions for energy eigenvalues in quantum mechanical problems with degenerate harmonic minima, by using the uniform WKB approach.