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Numerical approach to SUSY quantum mechanics and the gauge/gravity duality
SUSY quantum mechanics the gauge/gravity duality
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
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
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
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...
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
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
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
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
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...
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,...
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
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,...
The quantum vacuum: an interpretation of quantum mechanics
The quantum vacuum interpretation quantum mechanics
2010/11/8
We assume that particles are point-like objects even when not observed. We report on the consequences of our assumption within the realm of quantum theory. An important consequence is the necessity of...
Determinism and Quantum Mechanics : some proposed tests
Determinism Quantum Mechanics proposed tests
2010/11/8
Can the ancient, philosophical concept of determinism be formally translated into a scientific hypothesis, and finally be confronted with experiments? Are deterministic predictions, as expected, in c...
The extension problem for partial Boolean structures in Quantum Mechanics
partial Boolean structures Quantum Mechanics
2010/11/8
Alternative partial Boolean structures, implicit in the discussion of classical representability of sets of quantum mechanical predictions, are characterized, with definite general conclusions on the ...