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Time separation as a hidden variable to the Copenhagen school of quantum mechanics
hidden variable Copenhagen school
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2010/12/27
The Bohr radius is a space-like separation between the proton and electron in the hydrogen atom. According to the Copenhagen school of quantum mechanics, the proton is sitting in the absolute Lorentz ...
Tunneling in Fractional Quantum Mechanics
Tunneling Fractional Quantum Mechanics
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2010/12/24
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 correspond...
The quantum mechanics of perfect fluids
The quantum mechanics perfect fluids
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2010/12/24
We consider the canonical quantization of an ordinary fluid. The resulting long-distance effective field theory is derivatively coupled, and therefore strongly coupled in the UV. The system however ex...
Numerical approach to SUSY quantum mechanics and the gauge/gravity duality
SUSY quantum mechanics the gauge/gravity duality
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2011/1/7
We demonstrate that Monte-Carlo simulation is a practical tool to study nonperturbative aspects of supersymmetric quantum mechanics. As an example we study D0-brane quantum mechanics in the context of...
Numerical approach to SUSY quantum mechanics and the gauge/gravity duality
Numerical approach SUSY quantum mechanics
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2010/12/23
We demonstrate that Monte-Carlo simulation is a practical tool to study nonperturbative aspects of supersymmetric quantum mechanics. As an example we study D0-brane quantum mechanics in the context of...
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...
The Clifford Algebra approach to Quantum Mechanics A: The Schroedinger and Pauli Particles
The Clifford Algebra approach Quantum Mechanics
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2010/11/23
In this paper we show how all the quantum properties of Schroedinger and Pauli particles can be described entirely from within a Clifford algebra taken over the reals. There is no need to appeal to a...
Fourier's Law in Quantum Mechanics
Fourier's Law Quantum Mechanics
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2010/11/8
We derive Fourier's law for a completely coherent quantum system coupled locally to two heat baths at different temperatures. We solve the master equation to first order in the temperature difference....
Entropy production and equilibration in Yang-Mills quantum mechanics
Entropy production equilibration Yang-Mills quantum mechanics
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2011/1/6
The Husimi distribution provides for a coarse grained representation of the phase space distribution of a quantum system.
Numerical approach to SUSY quantum mechanics and the gauge/gravity duality
Numerical approach to SUSY quantum mechanics gauge/gravity duality
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2011/1/14
We demonstrate that Monte-Carlo simulation is a practical tool to study nonperturbative
aspects of supersymmetric quantum mechanics. As an example we study D0-brane quantum
mechanics in the context ...
The Disconnect Between Quantum Mechanics and Gravity
Disconnect Quantum Mechanics Gravity
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2010/12/21
There is a serious disconnect between quantum theory and gravity. It occurs at the level of the very foundations of quantum theory, and is far deeper than just the matter of trying to quantize a non-l...
From Quantum Mechanics to Quantum Field Theory: The Hopf route
Quantum Mechanics Quantum Field Theory
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2010/11/9
We show that the combinatorial numbers known as {\em Bell numbers} are generic in quantum physics. This is because they arise in the procedure known as {\em Normal ordering} of bosons, a procedure wh...
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...
Derivation of the Rules of Quantum Mechanics from Information-Theoretic Axioms
Derivation Quantum Mechanics Information-Theoretic Axioms
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2010/11/8
Conventional quantum mechanics with a complex Hilbert space and the Born Rule is derived from five axioms describing properties of probability distributions for the outcome of measurements. Axioms I,...