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On a nonlinear problem intervening in relativistic quantum mechanics perturbed by a factor of amortizement
nonlinear hyperbolic problem perturbed amortizement
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2010/9/25
In this work, we study the existence and the uniqueness and the regularity of the solution of a problem governed by a nonlinear equation intervening in relativistic quantum mechanics perturbed by an a...
The Clifford Algebra Approach to Quantum Mechanics B: The Dirac Particle and its relation to the Bohm Approach
The Clifford Algebra Quantum Mechanics
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2010/11/23
In this paper we present for the first time a complete description of the Bohm model of the Dirac particle. This result demonstrates again that the common perception that it is not possible to constr...
Quantum Mechanics on Laakso Spaces
Quantum Mechanics Laakso Spaces
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2010/11/22
We first review the spectrum of the Laplacian operator on a general Laakso Space before considering modified Hamiltonians for the infinite square well, parabola, and Coulomb potentials. Additionally,...
Tunneling in Fractional Quantum Mechanics
Tunneling Quantum Mechanics
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2010/11/15
We study the tunneling through delta and double delta potentials in fractional quantum mechanics. After solving the fractional Schr\"odinger equation for these potentials, we calculate the correspondi...
S-linear operators in quantum mechanics and in economy
linear operator ]tempered distribution basis linear superposition linear independence system of coordinates
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2009/1/9
In this paper we study the concept of S-linear operator and we show some of
its properties and applications to the foundations of Quantum Mechanics. This
new operators are a generalization of the li...