Results 1 to 10 of about 104,594 (185)
Fractal Weyl Law for Open Chaotic Maps [PDF]
This contribution summarizes our work with M.Zworski on open quantum open chaoticmaps (math-ph/0505034). For a simple chaotic scattering system (the open quantum baker's map), we compute the "long-living resonances" in the semiclassical r\'{e}gime, and ...
Asch, Joachim, Joye, Alain
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Extracting dynamical equations from experimental data is NP-hard [PDF]
The behavior of any physical system is governed by its underlying dynamical equations. Much of physics is concerned with discovering these dynamical equations and understanding their consequences.
A. Mukherjea+9 more
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Krein-Space Formulation of PT-Symmetry, CPT-Inner Products, and Pseudo-Hermiticity [PDF]
Emphasizing the physical constraints on the formulation of a quantum theory based on the standard measurement axiom and the Schroedinger equation, we comment on some conceptual issues arising in the formulation of PT-symmetric quantum mechanics.
A. Gonzalez-Lopez+40 more
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Modular Theory, Non-Commutative Geometry and Quantum Gravity [PDF]
This paper contains the first written exposition of some ideas (announced in a previous survey) on an approach to quantum gravity based on Tomita-Takesaki modular theory and A.
Bertozzini, Paolo+2 more
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Exact Wave Functions for Generalized Harmonic Oscillators [PDF]
We transform the time-dependent Schroedinger equation for the most general variable quadratic Hamiltonians into a standard autonomous form. As a result, the time-evolution of exact wave functions of generalized harmonic oscillators is determined in terms
Lanfear, Nathan+2 more
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Three-Hilbert-Space Formulation of Quantum Mechanics [PDF]
In paper [Znojil M., Phys. Rev. D 78 (2008), 085003, 5 pages, arXiv:0809.2874] the two-Hilbert-space (2HS, a.k.a. cryptohermitian) formulation of Quantum Mechanics has been revisited. In the present continuation of this study (with the spaces in question
Znojil, Miloslav
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Quantization of the Riemann Zeta-Function and Cosmology [PDF]
Quantization of the Riemann zeta-function is proposed. We treat the Riemann zeta-function as a symbol of a pseudodifferential operator and study the corresponding classical and quantum field theories.
Barnaby N.+18 more
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The object of the present study is the integrated density of states of a quantum particle in multi-dimensional Euclidean space which is characterized by a Schr{\"o}dinger operator with magnetic field and a random potential which may be unbounded from ...
Hupfer, Thomas+3 more
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A brief review of some selected topics in p-adic mathematical physics is presented.Comment: 36 ...
A. Connes+181 more
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Developments in Random Matrix Theory
In this preface to the Journal of Physics A, Special Edition on Random Matrix Theory, we give a review of the main historical developments of random matrix theory.
Forrester, P. J.+2 more
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