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DAMTP–2002–56, hep-th/0205232 The classical supersymmetric Coulomb problem

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After setting up a general model for supersymmetric classical mechanics in more than one dimension we describe systems with centrally symmetric potentials and their Poisson algebra. We then apply this information to the investigation and solution of the supersymmetric Coulomb problem, specified by an 1 |x| repulsive bosonic potential. 25 pages, ...

After setting up a general model for supersymmetric classical mechanics in more than one dimension we describe systems with centrally symmetric potentials and their Poisson algebra. We then apply this information to the investigation and solution of the supersymmetric Coulomb problem, specified by an 1 |x| repulsive bosonic potential. 25 pages, 2 figures Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-31

Source:

http://arxiv.org/pdf/hep-th/0205232v1.pdf

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text

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en

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Title:

DAMTP–2002–56, hep-th/0205232 The classical supersymmetric Coulomb problem

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Description:

After setting up a general model for supersymmetric classical mechanics in more than one dimension we describe systems with centrally symmetric potentials and their Poisson algebra. We then apply this information to the investigation and solution of the supersymmetric Coulomb problem, specified by an 1 |x| PACS: 45.50.-j; 11.30.Pb repulsive boso...

After setting up a general model for supersymmetric classical mechanics in more than one dimension we describe systems with centrally symmetric potentials and their Poisson algebra. We then apply this information to the investigation and solution of the supersymmetric Coulomb problem, specified by an 1 |x| PACS: 45.50.-j; 11.30.Pb repulsive bosonic potential. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-31

Source:

http://arxiv.org/pdf/hep-th/0205232v2.pdf

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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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Title:

DAMTP–2000–8, hep-th/0001155 Classical Supersymmetric Mechanics

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We analyse a supersymmetric mechanical model derived from (1+1)-dimensional field theory with Yukawa interaction, assuming that all physical variables take their values in a Grassmann algebra B. Utilizing the symmetries of the model we demonstrate how for a certain class of potentials the equations of motion can be solved completely for any B. I...

We analyse a supersymmetric mechanical model derived from (1+1)-dimensional field theory with Yukawa interaction, assuming that all physical variables take their values in a Grassmann algebra B. Utilizing the symmetries of the model we demonstrate how for a certain class of potentials the equations of motion can be solved completely for any B. In a second approach we suppose that the Grassmann algebra is finitely generated, decompose the dynamical variables into real components and devise a layer-by-layer strategy to solve the equations of motion for arbitrary potential. We examine the possible types of motion for both bosonic and fermionic quantities and show how symmetries relate the former to the latter in a geometrical way. In particular, we investigate oscillatory motion, applying results of Floquet theory, in order to elucidate the role that energy variations of the lower order quantities play in determining the quantities of higher order in B. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-28

Source:

http://arxiv.org/pdf/hep-th/0001155v1.pdf

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text

Language:

en

DDC:

531 Classical mechanics; solid mechanics *(computed)*

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

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Title:

Synthesis of Nerve Growth Factor mRNA in Cultures of Developing Mouse Whisker Pad, a Peripheral Target Tissue of Sensory Trigeminal Neurons

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Abstract. The developmental increase in the level of NGF mRNA in mouse maxillary process/whisker pad is paralleled in vivo by the biochemical and morphological differentiation of whisker pad epidermis, i.e., changes in the keratin expression pattern and the appearance of hair follicles. In cultures of maxillary processes, however, depending on t...

Abstract. The developmental increase in the level of NGF mRNA in mouse maxillary process/whisker pad is paralleled in vivo by the biochemical and morphological differentiation of whisker pad epidermis, i.e., changes in the keratin expression pattern and the appearance of hair follicles. In cultures of maxillary processes, however, depending on the age of explanted tissue, the increase in NGF mRNA levels either precedes or follows the appearance of epithelial differentiation markers. In addition, we found that prevention of epithelial differentiation by retinoic acid did not affect the increase in NGF mRNA levels. Only in explants from Ell.5 embryos was the timing of NGF mRNA production comparable to that of the in vivo situation, whereas at earlier stages (El0/10.5) NGF mRNA levels Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-03-28

Source:

ftp://ftp.ncbi.nlm.nih.gov/pub/pmc/82/ab/J_Cell_Biol_1993_Mar_2_120(6)_1471-1479.tar.gz

ftp://ftp.ncbi.nlm.nih.gov/pub/pmc/82/ab/J_Cell_Biol_1993_Mar_2_120(6)_1471-1479.tar.gz Minimize

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text

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en

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Title:

Regulation of the synthesis of nerve growth factor

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Company of Biologists

Year of Publication:

1987-09-01 00:00:00.0

Document Type:

TEXT

Language:

en

Subjects:

Journal Articles

Journal Articles Minimize

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Copyright (C) 1987, Company of Biologists

Copyright (C) 1987, Company of Biologists Minimize

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Title:

The classical supersymmetric Coulomb problem

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Description:

After setting up a general model for supersymmetric classical mechanics in more than one dimension we describe systems with centrally symmetric potentials and their Poisson algebra. We then apply this information to the investigation and solution of the supersymmetric Coulomb problem, specified by an 1/|x| repulsive bosonic potential. ; Comment:...

After setting up a general model for supersymmetric classical mechanics in more than one dimension we describe systems with centrally symmetric potentials and their Poisson algebra. We then apply this information to the investigation and solution of the supersymmetric Coulomb problem, specified by an 1/|x| repulsive bosonic potential. ; Comment: 25 pages, 2 figures; reference added, some minor modifications Minimize

Year of Publication:

2002-05-22

Document Type:

text

Subjects:

High Energy Physics - Theory ; Mathematical Physics

High Energy Physics - Theory ; Mathematical Physics Minimize

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Title:

The classical supersymmetric Coulomb problem

Author:

Description:

After setting up a general model for supersymmetric classical mechanics in more than one dimension we describe systems with centrally symmetric potentials and their Poisson algebra. We then apply this information to the investigation and solution of the supersymmetric Coulomb problem, specified by an 1/|x| repulsive bosonic potential.

After setting up a general model for supersymmetric classical mechanics in more than one dimension we describe systems with centrally symmetric potentials and their Poisson algebra. We then apply this information to the investigation and solution of the supersymmetric Coulomb problem, specified by an 1/|x| repulsive bosonic potential. Minimize

Year of Publication:

2002-05-22

Language:

eng

Subjects:

Particle Physics - Theory

Particle Physics - Theory Minimize

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Title:

U-Th Disequilibrium and Rb-Sr Age Constraints on the Magmatic Evolution of Peralkaline Rhyolites from Kenya

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Mildly peralkaline rhyolites of the Olkaria Volcanic Complex, located in the Kenyan sector of the East African rift valley, have low Sr concentrations and elevated Rb/Sr ratios (Sr 1·3–2 ppm; 87 Rb/ 86 Sr = 748–1769) that potentially allow the resolution of time differences on the order of 1 ka by conventional Sr isotope determination. Because o...

Mildly peralkaline rhyolites of the Olkaria Volcanic Complex, located in the Kenyan sector of the East African rift valley, have low Sr concentrations and elevated Rb/Sr ratios (Sr 1·3–2 ppm; 87 Rb/ 86 Sr = 748–1769) that potentially allow the resolution of time differences on the order of 1 ka by conventional Sr isotope determination. Because of their young eruption ages (≤20 ka), a chemically independent assessment of the Sr isotope results has been obtained by U-series dating. Rb–Sr isochron ages of pristine glasses and phenocrysts from the most chemically evolved rhyolites pre-date the eruption ages and are best defined by a mineral isochron of 24 ± 1 ka. The glasses are in secular U–Th equilibrium so that no age information can be obtained. In contrast, glasses and minerals yield U–Th isochrons of 25 ± 10 ka and are probably controlled by the Th-enriched accessory phase chevkinite. We therefore ascribe the pre-eruptive age information to crystallization of the observed phenocryst phases. Inferred high magma fractionation rates of up to 2·5 × 10 –3 km 3 /yr are comparable with those for much larger metaluminous silicic magma systems. Magma storage times (∼22 ky), however, are much shorter and may best be accounted for by the specific size, longevity and thermal gradient of the silicic magma system. Minimize

Publisher:

Oxford University Press

Year of Publication:

2002-03-01 00:00:00.0

Document Type:

TEXT

Language:

en

Subjects:

ARTICLES

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Copyright (C) 2002, Oxford University Press

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Title:

Isotopic and chemical evolution of the post-caldera rhyolitic system at Long Valley, California

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Post-caldera rhyolites of the Long Valley magmatic system are chemically less evolved than pre-caldera rhyolites or the initial phases of the Bishop Tuff and record temporal variations in composition which imply open-system magma differentiation involving magma replenishment. All post-caldera rhyolites lie on a well-defined Pb–Sr isotope mixing ...

Post-caldera rhyolites of the Long Valley magmatic system are chemically less evolved than pre-caldera rhyolites or the initial phases of the Bishop Tuff and record temporal variations in composition which imply open-system magma differentiation involving magma replenishment. All post-caldera rhyolites lie on a well-defined Pb–Sr isotope mixing line between the ∼700 ka Resurgent Dome and the recent Inyo lava domes, precluding a simple cogenetic origin. Coherent temporal trends in Pb and Sr isotopes provide compelling evidence for the near-continuous addition of magma into a silicic magma chamber that was residual after Bishop Tuff eruption. Nd isotope ratios do not record such consistent variations, arguing against their use as a proxy for major additions of new magma and hence as a monitor of potential volcanic hazard. The lowering of 87Sr/86Sr with time demonstrates that there was little crustal interaction and that the Nd isotope composition of the added magmas was variable. The rhyolites of Mammoth Knolls are the most differentiated and define an Rb–Sr isochron of 277±124 ka. These data are consistent with stratification of the magma chamber and subsequent isolation of the upper, more evolved, sections at ∼275 ka. Post 400 ka, rhyolites become chemically more varied, supporting evidence of stratification. The high- and low-silica rhyolites record distinct temporal Sr isotope evolution, implying that the low-silica rhyolites sampled the bulk of the magma chamber whereas the high-silica rhyolites represent the upper isolated, parts of the magma chamber, where they resided for >30 and >300 kyr. After the eruption of the Bishop Tuff, the Long Valley magma chamber was well mixed for the first ∼400 kyr of its evolution and produced rhyolitic magmas at an average of ∼0.0001 km3/year. Upon stratification post 400 ka, tens of km3 of chemically more evolved magma were rapidly produced. Magma addition to the system was at a constant rate and more frequent than eruptions. Minimize

Publisher:

Oxford University Press

Year of Publication:

1997-12-01 00:00:00.0

Document Type:

TEXT

Language:

en

Subjects:

Articles

Articles Minimize

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Copyright (C) 1997, Oxford University Press

Copyright (C) 1997, Oxford University Press Minimize

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Title:

Classical Supersymmetric Mechanics

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Description:

We analyse a supersymmetric mechanical model derived from (1+1)-dimensional field theory with Yukawa interaction, assuming that all physical variables take their values in a Grassmann algebra B. Utilizing the symmetries of the model we demonstrate how for a certain class of potentials the equations of motion can be solved completely for any B. I...

We analyse a supersymmetric mechanical model derived from (1+1)-dimensional field theory with Yukawa interaction, assuming that all physical variables take their values in a Grassmann algebra B. Utilizing the symmetries of the model we demonstrate how for a certain class of potentials the equations of motion can be solved completely for any B. In a second approach we suppose that the Grassmann algebra is finitely generated, decompose the dynamical variables into real components and devise a layer-by-layer strategy to solve the equations of motion for arbitrary potential. We examine the possible types of motion for both bosonic and fermionic quantities and show how symmetries relate the former to the latter in a geometrical way. In particular, we investigate oscillatory motion, applying results of Floquet theory, in order to elucidate the role that energy variations of the lower order quantities play in determining the quantities of higher order in B. ; Comment: 29 pages, 2 figures, submitted to Annals of Physics Minimize

Year of Publication:

2000-01-24

Document Type:

text

Subjects:

High Energy Physics - Theory ; Mathematical Physics

High Energy Physics - Theory ; Mathematical Physics Minimize

DDC:

531 Classical mechanics; solid mechanics *(computed)*

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