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The investigation ofmost problems of quantum physics leads to the solution of the Schrodinger equation with an appropriate interaction Hamiltonian or potential.
It was obvious immediately that these materials could have a tremendous technological impact, or lead to further materials with even higher transitions.
tures which well as one dimensional are approximated quasi two dimensional, zero dimensional Our interest here is in the of or properties particles systems. provide duction to the of 2 D in to motion in 2 D systems, particular systems physics the confined within finite For we will assume that a area.
The author explains and organizes the material through a systematic study of generating families, which are the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. The most critical part is the study of bifurcations.
The classical restricted three-body problem is of fundamental importance because of its applications in astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. This book is interested in the restricted problem and its applications to astronomy.
This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how localization ideas are related to classical integrability.
Suspensions of magnetic nanoparticles or ferrofluids can be effectively controlled by magnetic fields, which opens up a fascinating field for basic research into fluid dynamics as well as a host of applications in engineering and medicine.
This monograph aims to show that, in the radiation regime, there exists a Hamiltonian description of the dynamics of a massless scalar field, as well as of the dynamics of the gravitational field. The authors construct such a framework extending the previous work of Kijowski and Tulczyjew.
For that purpose we had to develop not only experimental set-ups to measure the pattern velocity but also the theory which describes the connection between this velocity and the velocity gradient.
This text on relativistic ray optics covers such topics as: light propagation in linear dielectric and permeable media; ray-optical structures on arbitrary manifolds; ray-optical structures on Lorentzian manifolds; and variational principles for rays.
This research monograph offers an introduction to advanced quantum field theoretical techniques for many particle systems beyond perturbation theory. Also considered is the crossover from BCS superconductivity to Bose-Einstein condensation in fermion systems with strong attractive interaction.
New ideas on the mathematical foundations of quantum mechanics, related to the theory of quantum measurement, as well as the emergence of quantum optics, quantum electronics and optical communications have shown that the statistical structure of quantum mechanics deserves special investigation.
The author applies methods of nonlinear elasticity to investigate the defects in the crystal structure of solids such as dislocations and disclinations that characterize the plastic and strength properties of many materials.
This is a non-technical introduction to modern supersymmetry phenomenology, suitable both for theorists and experimentalists. Theoretical and experimental motivations, and the status and prospects of low-energy supersymmetry are discussed.
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