Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 74 for “"Mathematical physics"”.
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Cellular automata methods in mathematical physics
… Institute of Technology, Dept. of Physics, 1994.
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On Some Schroedinger Eigenvalue Problems From Mathematical Physics
In particular, this implies that the eigenvalues are all positive real for the potentials alphaiz3 + beta z2 + gammaiz when alpha, beta, gamma ∈ R with alpha ≠ 0 and alphagamma ≥ 0, and with the boundary conditions that u(z) decays to zero as z tends to infinity along the positive and …
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EXTERIOR REGULARIZED HARMONIC AND HARMONIC FUNCTIONS
… on Laplace's spherical harmonics in classical mathematical physics.
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Arithmetic of partition functions and q-combinatorics
… representation theory, symmetric functions and mathematical physics. Among these, we study the arithmetic of partition functions and q-combinatorics via bijective methods, q-series and modular forms. In particular, regarding arithmetic properties of partition functions, we examine partition …
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Aperiodic Order and Singular Spectra
… in different areas of mathematics and mathematical physics. After a short introduction to the theory of dynamicals systems, we present random substitutions as a stochastic variant of substitutions which create symbolic dynamical systems that combine long-range order with a positive …
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Well-posedness and causality for a class of evolutionary inclusions
… which cover a huge class of problems in mathematical physics. For this purpose we introduce the time derivative as a continuously invertible operator in a suitable Hilbert space. It turns out that this realization is a strictly monotone operator and thus, the question on existence and …
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New proposals for the popularization of braid theory
… have applications in different fields, e.g. in mathematical physics and in biology. In this thesis we provide a formal introduction to some topics in the mathematical theory of braids and two possible approaches to this field at a popular level: a movie and a workshop. The scientific movie …
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The relevance of the Pauli group in dynamical systems with pseudo-fermions
The group of Wolfgang Pauli is well known in mathematical physics, because it describes some relevant symmetries in quantum dynamical systems. It is less known its structure of finite 2-group of order 16, which may be decomposed in the central product of two of its subgroups. From this perspective, …
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New identities for Legendre associated functions of integral order and degree
In the solution of the boundary value problems of mathematical physics in a separable 3-dimensional coordinate system, the shape of the boundary of the space may be such that the Green's function of the second order differential operator can be expanded as an infinite series of orthogonal …
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Spherical Functions on Supersymmetric Spaces and Calogero-Moser-Sutherland Operators
… takes on the values 1, ½, or (𝑚-1-2𝑛)/2. In mathematical physics literature, this differential equation is known as the Calogero-Moser-Sutherland operator (CMS), and it occurs as the Hamiltonian of the quantum 𝑛-body problem in one dimension. Our main result in this context, which extends …
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Nonlinear Methods in the Study of Singular Partial Differential Equations
… as Riemannian geometry, applied probability, mathematical physics and biology. The purpose of this thesis is to develop analytical methods to investigate a large class of nonlinear elliptic PDEs underlying models from physical and biological sciences. These methods advance the knowledge of …
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Mathematical Modelling of Smectic Liquid Crystals
… liquid crystal molecules near interfaces using mathematical models and numerical integration. In particular,we predict the behaviour of the physical system for smectic liquid crystals. Smectic liquid crystals are considered in various geometries including planar (Cartesian), cylindrical (i.e. …
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Classification of second-order conformally-superintegrable systems
… some of the earliest known dynamical systems in mathematical-physics. Systems with constants second-order in the momenta have been particularly well studied in recent years. This thesis provides a classification of non-degenerate (maximum parameter) three-dimensional second-order superintegrable …
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Generic planar lattice patterns in liquid crystals
… in Chillingworth and Golubitsky 2003 J. Mathematical Physics 44(9) 4201-4219. Continuing this work we calculate a second set of steady states and go on to calculate the time periodic solutions resulting from Hopf bifurcations in the same planar layer of liquid crystal. We describe the …
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New methods for the integration of distributions of vector fields
The thesis explores a new mathematical framework in order to obtain closed-form expressions for the integral manifolds of involutive distributions of vector fields. In particular, it is focused on the important particular case of distributions generated by the vector fields associated to ordinary …
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Probabilistic and Statistical Learning Models for Error Modeling and Uncertainty Quantification
… numerical models can only approximate the true physics. The discrepancy between model results and nature can be attributed to different sources of uncertainty including the parameters of the model, input data, or some missing physics that is not included in the model due to a lack of knowledge …
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Geometrical approximation methods for the discrete spectra of Schrödinger operators
… study a concrete class of eigenvalue problems in mathematical physics, which arise from non-relativistic quantum mechanics and the Sturm-Liouville theory. We develop practical techniques to obtain reliable bounds for the eigenvalues of the Schrödinger operator [Special characters omitted.] . We …
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Brownian motion and multidimensional decision making
… target readership is divergent. Part I concerns mathematical physics, Part II operations research, and Part III policy. Readers interested in specific parts can thus read these in isolation. Those interested in the thesis as a whole may prefer to read the three introductions first. Second, the …
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Necessary and Sufficient Conditions for the Transfer of Kinetic Energy at Asymptotically Large Reynolds Numbers
… to dissipate energy as heat. In the field of mathematical physics, turbulent flows are typically modeled using stochastic partial differential equations to model the apparent randomness of the turbulent flow. Moreover, from a physics perspective, this method accounts for external noise on the …
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