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Title:

Spectrum and Wave Functions of Excited States in Lattice Gauge Theory

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We suggest a new method to compute the spectrum and wave functions of excited states. We construct a stochastic basis of Bargmann link states, drawn from a physical probability density distribution and compute transition amplitudes between stochastic basis states. From such transition matrix we extract wave functions and the energy spectrum. We ...

We suggest a new method to compute the spectrum and wave functions of excited states. We construct a stochastic basis of Bargmann link states, drawn from a physical probability density distribution and compute transition amplitudes between stochastic basis states. From such transition matrix we extract wave functions and the energy spectrum. We apply this method to U(1)2+1 lattice gauge theory. As a test we compute the energy spectrum, wave functions and thermodynamical functions of the electric Hamiltonian and compare it with analytical results. We find excellent agreement. We observe scaling of energies and wave functions in the variable of time. We also present first results on a small lattice for the full Hamiltonian including the magnetic term. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-06-12

Source:

http://pos.sissa.it/archive/conferences/066/235/LATTICE%202008_235.pdf

http://pos.sissa.it/archive/conferences/066/235/LATTICE%202008_235.pdf Minimize

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text

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en

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

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We suggest how to construct non-perturbatively a renormalized action in quantum mechanics. We discuss similarties and differences with the standard effective action. We propose that the new quantum action is suitable to define and compute quantum instantons and quantum chaos. 1

We suggest how to construct non-perturbatively a renormalized action in quantum mechanics. We discuss similarties and differences with the standard effective action. We propose that the new quantum action is suitable to define and compute quantum instantons and quantum chaos. 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/0102032v1.pdf

http://arxiv.org/pdf/quant-ph/0102032v1.pdf Minimize

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text

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en

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

Metadata may be used without restrictions as long as the oai identifier remains attached to it. Minimize

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Abstract

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We suggest as gedanken experiment a generalization of the Aharonov-Bohm experiment, based on an array of solenoids. This experiment allows in principle to measure the decomposition into homotopy classes of the quantum mechanical propagator. This yields information on the geometry of the average path of propagation and allows to determine its Hau...

We suggest as gedanken experiment a generalization of the Aharonov-Bohm experiment, based on an array of solenoids. This experiment allows in principle to measure the decomposition into homotopy classes of the quantum mechanical propagator. This yields information on the geometry of the average path of propagation and allows to determine its Hausdorff dimension. PACS index: 03.65.Bz 0 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/9702005v1.pdf

http://arxiv.org/pdf/quant-ph/9702005v1.pdf Minimize

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text

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en

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

Metadata may be used without restrictions as long as the oai identifier remains attached to it. Minimize

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Abstract

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We study the geometry of propagation of relativistic fermions. We propose how to measure its quantum mechanical length. Numerical lattice results for the free propagator of Dirac-Wilson fermions yield Hausdorff dimension dH = 2 for the unit-matrix component and dH = 1 for any γ-matrix component. A possible generalization when matter interacts wi...

We study the geometry of propagation of relativistic fermions. We propose how to measure its quantum mechanical length. Numerical lattice results for the free propagator of Dirac-Wilson fermions yield Hausdorff dimension dH = 2 for the unit-matrix component and dH = 1 for any γ-matrix component. A possible generalization when matter interacts with radiation is discussed. PACS index: 03.65.-w, 05.30.-d 0 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-05

Source:

http://arxiv.org/pdf/hep-lat/9612009v1.pdf

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text

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en

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Title:

Fractal Wilson Loop- Area Law and Gauge Invariance in Next to Leading Order

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We consider a fractal Wilson loop < FP> and present physical arguments why this should be a relevant observable in nature. We show for non-compact SU(2) lattice gauge theory in the next to leading order of strong coupling expansion that < FP> obeys an area law behavior and is gauge invariant. PACS index: 11.15.Ha 0 1

We consider a fractal Wilson loop < FP> and present physical arguments why this should be a relevant observable in nature. We show for non-compact SU(2) lattice gauge theory in the next to leading order of strong coupling expansion that < FP> obeys an area law behavior and is gauge invariant. PACS index: 11.15.Ha 0 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-05

Source:

http://arxiv.org/pdf/hep-lat/9405011v1.pdf

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text

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en

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Abstract

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We make a proposal for a Gedanken experiment, based on the Aharonov-Bohm effect, how to measure in principle the zig-zagness of the trajectory of propagation (abberation from its classical trajectory) of a massive particle in quantum mechanics. Experiment I is conceived to show that contributions from quantum paths abberating from the classical ...

We make a proposal for a Gedanken experiment, based on the Aharonov-Bohm effect, how to measure in principle the zig-zagness of the trajectory of propagation (abberation from its classical trajectory) of a massive particle in quantum mechanics. Experiment I is conceived to show that contributions from quantum paths abberating from the classical trajectory are directly observable. Experiment II is conceived to measure average length, scaling behavior and critical exponent (Hausdorff dimension) of quantum mechanical paths. PACS index: 03.65.Bz 0 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/9702013v1.pdf

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text

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en

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Title:

On the Existence of the Quantum Action

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We have previously proposed a conjecture stating that quantum mechanical transition amplitudes can be parametrized in terms of a quantum action. Here we give a proof of the conjecture and establish the existance of a local quantum action in the case of imaginary time in the Feynman-Kac limit (when temperature goes to zero). Moreover we discuss s...

We have previously proposed a conjecture stating that quantum mechanical transition amplitudes can be parametrized in terms of a quantum action. Here we give a proof of the conjecture and establish the existance of a local quantum action in the case of imaginary time in the Feynman-Kac limit (when temperature goes to zero). Moreover we discuss some symmetry properties of the quantum action. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/0106087v2.pdf

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text

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en

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Conjecture

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Peviously we have proposed a conjecture, which parametrizes the Q.M. transition amplitude in terms of a quantum action. Here we give a proof of the conjecture showing that such quantum action exists and has a local structure.

Peviously we have proposed a conjecture, which parametrizes the Q.M. transition amplitude in terms of a quantum action. Here we give a proof of the conjecture showing that such quantum action exists and has a local structure. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/0106087v1.pdf

http://arxiv.org/pdf/quant-ph/0106087v1.pdf Minimize

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text

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en

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Journal of Theoretical Biology

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Contents lists available at ScienceDirect

Contents lists available at ScienceDirect Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-08-07

Source:

http://www.physics.mcgill.ca/~grant/Papers/pollen.pdf

http://www.physics.mcgill.ca/~grant/Papers/pollen.pdf Minimize

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text

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en

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Title:

Algorithm for Computing Excited States in Quantum Theory

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Abstract. Monte Carlo techniques have been widely employed in statistical physics as well as in quantum theory in the Lagrangian formulation. However, in the conventional approach, it is extremely difficult to compute the excited states. Here we present a different algorithm: the Monte Carlo Hamiltonian method, designed to overcome the difficult...

Abstract. Monte Carlo techniques have been widely employed in statistical physics as well as in quantum theory in the Lagrangian formulation. However, in the conventional approach, it is extremely difficult to compute the excited states. Here we present a different algorithm: the Monte Carlo Hamiltonian method, designed to overcome the difficulties of the conventional approach. As a new example, application to the Klein-Gordon field theory is shown. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/0108122v1.pdf

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text

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en

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