Mechanics and Equilibrium Geometry of Black Holes, Membranes, and Strings
This course is designed to give a mathematically coherent introduction to the classical thory of black holes and also of
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mechanics
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Mechanics as Geometry?
Talk given at the Workshop on "Constraint Theory and Quantization Methods"; Montepulciano, Italy, June 1993 --- Instead of attempting to
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Mechanics of Continuous Media in $(\bar{L}_{n},g)$-Spaces. III. Relative Accelerations
Basic notions of continuous media mechanics are introduced for spaces with affine connections and metrics. The physical interpretation of the
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Mechanics of Continuous Media in $(\bar{L}_n,g)$-spaces. I. Introduction and mathematical tools
Basic notions and mathematical tools in continuum media mechanics are recalled. The notion of exponent of a covariant differential operator
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Mechanics of Continuous Media in $(\bar{L}_n,g)$-Spaces. II. Relative velocity and deformations
Basic notions of continuous media mechanics are introduced for spaces with affine connections and metrics. The physical interpretation of the
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Mechanics of Continuous Media in $(\bar{L}_{n},g)$-Spaces. IV. Stress (Tension) Tensor
Basic notions of continuous media mechanics are introduced for spaces with affine connections and metrics. Stress (tension) tensors are considered,
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2k-dimensional N=8 supersymmetric quantum mechanics
We demonstrate that two-dimensional N=8 supersymmetric quantum mechanics which inherits the most interesting properties of $N=2, d=4$ SYM can be
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A "general boundary" formulation for quantum mechanics and quantum gravity
I propose to formalize quantum theories as topological quantum field theories in a generalized sense, associating state spaces with boundaries
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A basis for the statistical mechanics of granular systems
This paper aims to justify the use of statistical mechanics tools in situations where the system is out of equilibrium
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Adelic Quantum Mechanics: Nonarchimedean and Noncommutative Aspects
We present a short review of adelic quantum mechanics pointing out its non-Archimedean and noncommutative aspects. In particular, $p$-adic path
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A discussion on a possibility to interpret quantum mechanics in terms of general relativity
It is shown that, with some reasonable assumptions, the theory of general relativity can be made compatible with quantum mechanics
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A generalization of Jaynes' principle: an information-theoretic interpretation of the minimum principles of quantum mechanics and gravitation
By considering the "kinetic-energy" term of the minimum principle for the Schrödinger equation as a measure of information, that minimum
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A Geometric Approach to the Quantum Mechanics of de Broglie and Vigier
Following de Broglie and Vigier, a fully relativistic causal interpretation of quantum mechanics is given within the context of a
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Algebraic Realization of Supersymmetric Quantum Mechanics for Cyclic Shape Invariant Potentials
We study in detail the spectrum of the bosonic oscillator Hamiltonian associated with the $C_3$-extended oscillator algebra \algthree, where $C_3$
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A method for classical and quantum mechanics
In many physical problems it is not possible to find an exact solution. However, when some parameter in the problem
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An Adaptive Finite Element Approach to Atomic-Scale Mechanics - The Quasicontinuum Method
Mixed atomistic and continuum methods offer the possibility of carrying out simulations of material properties at both larger length scales
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Analysis of constraints in light-cone version of SU(2) Yang-Mills mechanics
We study the classical dynamics of mechanical model obtained from the light-cone version of SU(2) Yang-Mills field theory under the
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A New Class of Bounds for Correlation Functions in Euclidean Lattice Field Theory and Statistical Mechanics of Spin Systems
Starting from an extension of the Poisson bracket structure and Kubo-Martin-Schwinger-property of classical statistical mechanics of continuous systems to spin
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A New Interpretation on Quantum Mechanics
Based on new experiments about the "macroscopic Schrodinger's cat state" etc., a self-consistent interpretation on quantum mechanics is presented from
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A new non linear mechanism able to generate avalanches based on soil mechanics
We propose a general mechanism based on soil mechanics concepts, such as dilatancy and friction, to explain the fact that
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Annihilation and creation operators in non-Hermitian supersymmetric quantum mechanics
Harmonic oscillators with a centrifugal spike are analysed, via a non-Hermitian regularization, within a complexified SUSY quantum mechanics. The formalism
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Anomalous Commutator Algebra for Conformal Quantum Mechanics
The structure of the commutator algebra for conformal quantum mechanics is considered. Specifically, it is shown that the emergence of
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Anomaly in conformal quantum mechanics: From molecular physics to black holes
A number of physical systems exhibit a particular form of asymptotic conformal invariance: within a particular range of distances, they
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A Note on Gauge Principle and Spontaneous Symmetry Breaking in Classical Particle Mechanics
The U(1) gauge field is usually induced from the gauge principle, that is, the extension of global U(1) phase transformation
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