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Topic: Mexican hat potential

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	Mexican hat - Wikipedia, the free encyclopedia
		In general, a Mexican hat is a sombrero – a broad-brimmed and high-crowned hat formerly used in rural areas of Mexico and still common today among mariachi musicians and foreign tourists.
		In physics, the Mexican hat potential is a prescription for the potential energy that leads to the Higgs mechanism.
		Mexican Hat, a census-designated place in Utah, USA and/or the balanced rock nearby that resembles an inverted sombrero.
	en.wikipedia.org /wiki/Mexican_hat (168 words)

	Pion-Pion Lagrangian
		Even in classical mechanics, if a particle is put into the ``Mexican hat'' potential and treated within the small-vibration approximation, one immediately obtains a zero-frequency mode that corresponds to uniform motion around the hat.
		Third, we have derived the particular dependence of the pion-pion Lagrangian (38) on the derivatives of the pion field.
		This corresponds to a slight tilt of the ``Mexican hat'' to one side.
	www.fuw.edu.pl /~dobaczew/maub-42w/node13.html (546 words)

	In this issue . . . (Site not responding. Last check: 2007-10-10)
		The bifurcation of the potential profile of a toroidal helical plasma is investigated in CHS.
		In CHS, the observed potential profiles are classified into five patterns, as shown in Fig.
		The patterns are termed bell, dome, hill, Mexican hat, and well, ordered from higher to lower values of the central potential &phi(0).
	www.ornl.gov /fed/stelnews/sn73/Output/sn73.html (998 words)

	Zero Mode Reassembly, Spinodal Inflation and All That: Applications of Non-Equilibrium QFT to Inflationary Cosmology
		As the fluctuations find the minimum of the potential (which is also the spinodal line where the curvature of the potential goes to zero; this will be important later) the Hubble parameter drops, ending the inflationary period.
		Because of this flattening at the spinodal, and the fact that the potential is not zero at the spinodal, we have the second phase of inflation.
		The initial state is unphysical, described by a concave effective potential, the analog of the equilibrium free energy, with quanta corresponding to imaginary mass states.
	int.phys.washington.edu /SEMINARS/Holman/talk.html (2452 words)

	Spontaneous symmetry breaking - Wikipedia, the free encyclopedia
		It is in this potential term (V(φ)) that the action of symmetry breaking occurs.
		An example of a potential is illustrated in the graph at the right.
		As the rotational velocity is increased gradually from rest, the bead will initially stay at its initial equilibrium point at the bottom of the hoop (intuitively stable, lowest gravitational potential).
	en.wikipedia.org /wiki/Spontaneous_symmetry_breaking (1183 words)

	Hat Blog
		These hats have been carefully designed and manufactured so that there is no compromise in the materials, the workmanship, the fit, or the styling.
		From there, the hat can be stored in the box, packed in a suitcase, or (as I have been known to do) put in the pocket of one’s trousers when walking about and choosing not to wear the hat.
		Not putting one’s hat on a bed may not be as iconic a superstition as not walking under a ladder, or not breaking a mirror, or doing one’s best to avoid a fl cat from crossing one’s path, but to many, particulary those steeped in cowboy culture, it is to be taken very seriously.
	blog.villagehatshop.com (4968 words)

	Bronnikov (Site not responding. Last check: 2007-10-10)
		For the standard Mexican hat potential, the previously known properties of the solutions are confirmed and some new results are obtained.
		The cosmological properties of these globally regular solutions apparently favour the idea that the standard Big Bang might be replaced with a nonsingular static core and a horizon appearing as a result of some symmetry-breaking phase transition.
		Outside the horizon, one obtains a Kantowski-Sachs anisotropic cosmology, which can be made de Sitter at late times by adding a small constant to the potential (by "slightly raising the Mexican hat").
	www.imath.kiev.ua /~snmp2003/abstract2003/Bronnikov.html (283 words)

	Mexican hat dance (Seattle Weekly)
		Accordingly, the room is well dressed in tile, stone, and metal, with vintage lobby cards from old Mexican movies serving as place mats.
		Even the carne asada was a bit of a letdown—still tender, but not as savory or juicy as that memorable first serving.
		Mexican hat dance — Restaurant, tequila bar, discotheque: El Ni�ries on all of them.
	www.seattleweekly.com /food/9840/food-flannigan.php (871 words)

	deseretnews.com \| Wind could become major Utah power source
		These scattered localities amount to 12,700 acres in Utah where wind potential might be developed, she said.
		That's why California has such a large proportion of the potential for development, she added.
		She said other areas of the country also have strong potential for wind energy developments.
	deseretnews.com /dn/view/0,1249,600143500,00.html (791 words)

	Utah History Encyclopedia
		While neither Virgin City nor Mexican Hat ever became major oil-producing fields, enough oil was extracted from both to supply small local refineries that operated intermittently for many years.
		William E. Nevills, who began to work in the Mexican Hat oil field in the mid-1920s, enlarged his operations by adding three wells to his string of small producing wells.
		The discovery well was at Aneth, along the San Juan River east of the old Mexican Hat field, and produced 1,704 barrels of oil a day after it hit oil in 1956.
	www.media.utah.edu /UHE/p/PETROLEUM.html (1836 words)

	Mexican Hat Mill _ Nuclear Pictures - NukeWorker.com
		Location: The former Mexican Hat uranium mill site is located on Navajo Nation land 1.5 miles southwest of Mexican Hat, San Juan County, Utah.
		In that study, uranium, vanadium, and copper minerals in Triassic rocks were noted in many places throughout the region, especially near the unconformable contact between the Moenkopi Formation (Early and Middle(?) Triassic age) and the Chinle Formation (Late Triassic age).
		The former Mexican Hat uranium mill site is located on Navajo Nation land 1.5 miles southwest of Mexican Hat, San Juan County, Utah.
	www.nukeworker.com /pictures/thumbnails-326.html (1192 words)

	Jarabe Tapatio And Mexican Hat Dance (Site not responding. Last check: 2007-10-10)
		Tree sure power alone should be present by the report the terpsichore another might be saved to the path alone joining during the cross.
		Jarabe Tapatio Yes, the Jarabe Tapatio is a courtship dance from Jalisco, known by some as the Mexican Hat Dance.
		In other customary dances, such as the jarabe tapatio (otherwise known in the USA and the rest of the world as the "Mexican Hat Dance"), the Charro would toss down his hat on the ground, and the couple...
	www.dance-attic.info /jarabe-tapatio-and-mexican-hat-dance.php (514 words)

	Open Source Weblog: Red Hat, Oracle, and Linux's Mexican standoff (Site not responding. Last check: 2007-10-10)
		The customer gets to make up his own mind as to whether the software is any good as opposed to having to go through the vendor’s pricey and biased sales force.
		As Fleury explains, this means that the company has to be good at value-added support and services, as "the only place where we make ANY money at all".
		Given these reasons, Fleury states that a Mexican standoff - or Nash equilibrium - is developing.
	www.businessreviewonline.com /os/archives/2006/08/red_hat_oracle.html (560 words)

	Technical Approach to Groundwater Restoration (TAGR)
		Milling at the Mexican Hat, Utah, and the Ambrosia Lake, New Mexico, sites created areas saturated with contaminated ground water in geological formations that previously did not contain ground water; however, contamination of naturally occurring ground water has not been observed.
		For the UMTRA Ground Water Project, the potential exists for disproportionately high and adverse effects on five sites that are on or partially on tribal lands.
		All the contaminated material has been moved to the Mexican Hat, Utah, disposal cell 17 road mi (27 km) to the north, and surface remedial action was completed in May 1994.
	www.lm.doe.gov /documents/3_pro_doc/guidance/gw/peis/umtra_3.htm (8550 words)

	W. H. Calvin's THE CEREBRAL SYMPHONY (ch.8. Dynamic Reorganization: Sharpening Up a Smear with a Mexican Hat)
		Most exhibit a version of those Mexican hat arrangements where one region is excitatory but a surrounding wider region is inhibitory, leading to an optimal spot size -- any larger and the cell becomes uninterested.
		Originally we called this "surround inhibition." But then those inverted Mexican hat cells were discovered with excitatory surrounds and inhibitory centers -- so we began to talk instead about "center-surround antagonism," or simply "lateral inhibition." Whatever you call it, it's seen at virtually every level of the visual system, from retina to secondary cortical areas.
		And so it won't be too much of an exaggeration to say that there is a point-to-point correspondence of the skin (or retinal) surface to the cortical surface -- that we may, in short, talk meaningfully of a cortical "map" of the sensory surface.
	www.williamcalvin.com /bk4/bk4ch8.htm (5996 words)

	Halfbakery: Mexican Wavey Buildings
		Co-inciding with this work all buildings in all cities around the world will have pnumatic lifts fitted to their foundations, enabling them to be lifted to 50% of their height.
		Think how cool it would be to be on the 31st floor of a building that suddenly shoots 15 1/2 floors in to the air!
		This could have potential should all buildings be topped with gigantic sombreros.
	www.halfbakery.com /idea/Mexican_20Wavey_20Buildings (251 words)

	Hidden symmetries \| Cosmic Variance
		Fields like to sit at the minimum of their potentials; notice that in this example, the minimum is not at zero, but along a circle at the brim of the hat.
		If you were at the peak in the center of the potential, the symmetry would be manifest — spin around, and everything looks the same.
		Sitting at the brim of the hat, there are two directions in which you can oscillate — a flat direction along the brim, and a highly-curved direction moving radially away from the center.
	cosmicvariance.com /2005/10/24/hidden-symmetries (2736 words)

	The Mexican Hat Dance [Archive] - FlyerTalk Forums
		Some of you, even those in the US, may be interested in the Mexican Hat Dance threads that are developing on Air Canada.
		Mexican Hat Dance may be more useful to US ff in near Canada-US border areas (e.g.
		I wonder for people living in the Southwestern US if the Hat Dance works in reverse - pick up a cheap flight over to Mexico, then fly business up through the states to Calgary or Vancouver.
	www.flyertalk.com /forum/archive/index.php/t-270710.html (715 words)

	Symmetry breaking
		Nevertheless, the above is the correct potential for small movements of our marble: along the u direction (= shifted x) there is a local parabolic minimum, while along the y direction, the movement is indifferent (indeed, in first order it is moving along the circle of minima).
		For the particle in the cylindrically symmetric potential, what is your justification for the particle restricting itself to radial displacements?
		In that perspective, I can see that the 1-D effective potential is not symmetric about the stable equilibrium point.
	www.physicsforums.com /showthread.php?t=33883 (1573 words)

	Carl J. Ballhausen : Quantum Mechanics and Chemical Bonding in Inorganic Complexes. II.- Component of : Early Ideas in ...
		The crystalline potential in salts of the iron group is dominantly cubic, corresponding to a regular octahedral six-fold coordination of the metal ions.
		For d-electrons the most general crystalline potential with cubic symmetry was shown by Van Vleck (34) to be
		This in the, by now well known, "Mexican hat" potential surface.
	www.quantum-chemistry-history.com /Ball_Dat/QMInCom2.htm (3329 words)

	Report: Richardson will seek presidential bid (Site not responding. Last check: 2007-10-10)
		Although the last election was only three months ago, potential candidates from both political parties have begun planning for 2008.
		Advisers say Kerry does not need to campaign as early as other potential candidates because of his high profile and big bank account.
		Behind the scenes, her advisers are gearing up for her 2006 re-election campaign, which they hope is a trial run for a presidential race.
	www.freenewmexican.com /news/10236.html (1165 words)

	[No title]
		The easiest way to describe this concept is with the Mexican hat potential.
		In order for the vacuum, the lowest energy state, to be invariant under Lorentz transformations and translations implies that Ψ (x) is a constant in the vacuum state.
		is negative, the minimum potential energy is a ring in the complex plane.
	www.geocities.com /jefferywinkler/standardmodel4.html (2861 words)

	Quantum Field Theory
		Note also that the deep inelastic scattering is just a special kind of Compton scattering with virtual photon hitting a necluon (such as the proton) instead of real photon colliding an electron as shown in Figure 02e.
		These self-interactions generate the Mexican hat potential so crucial for spontaneous symmetry breaking.
		This formula combines a Coulomb potential at short ranges with an attractive potential rising linearly at longer distance, giving rise to the ever-increasing forces of quark confinement.
	universe-review.ca /R15-12-QFT.htm (12611 words)

	Modern Cosmology Explained (via CobWeb/3.1 planet03.csc.ncsu.edu) (Site not responding. Last check: 2007-10-10)
		The fact that it is a tachyon means that you're expanding about a maximum of the potential.
		However, the potential could have a minimum which would be a tachyon free vacuum.
		This is believed to be the case for a number of open string tachyons, but at the present is unproven by experimental evidence and only supported by theory.
	cosmology.bravehost.com.cob-web.org:8888 /about.html (5350 words)

	PlantsToGro - Plant Display (Site not responding. Last check: 2007-10-10)
		Each plantlet has the potential of producing a new plant.
		This plant is very succulent so it likes to be kept on the dry side.
		The genus name is derived from bryo "to sprout" and phyllon "leaves".
	www.plantstogrow.com /zPlantsDisplay.asp?plantID=21 (189 words)

	Scalar field theory - Wikipedia, the free encyclopedia (via CobWeb/3.1 planet03.csc.ncsu.edu) (Site not responding. Last check: 2007-10-10)
		This is known as a double well potential, and the lowest energy states (known as the vacua, in quantum field theoretical language) in such a theory are not invariant under the Z
		It is not possible to deform the kink into a constant solution without passing through a solution of infinite energy, and for this reason the kink is said to be stable.
		The mexican hat potential is analogous to the double-well potential in real scalar field theory.
	en.wikipedia.org.cob-web.org:8888 /wiki/Scalar_field_theory (1989 words)

	Condensed-matter seminars (abstracts)
		Although the intriguing non-Fermi liquid signatures of the two-channel Kondo (2CK) effect, have been observed in several nanoscopic transport experiments, A clear microscopic model for its realization is still lacking even after a decade of research.
		The defect can be comprised of an interstitial atom moving in a modulated Mexican hat potential, which is formed by the lattice.
		A perturbative renormalization group analysis shows that the coupling to the conduction electrons renormalizes the excited defect levels below the non-interacting ground state, thus stabilizing the 2CK fixed point.
	cmt.rice.edu /cms_details04.html (1254 words)

	Cosmic F- and D-strings \| The String Coffee Table
		There you impose boundary conditions that make the scalar wind around the hat and thus in a central line the scalar field has to go “over the top” of the potential.
		Hence, you have potential energy localized along a line and the low energy excitations behave like a string.
		But as this is only a low energy approximation you wouldn’t expect to obey your quantum consitency conditions (like critical dimension etc).
	golem.ph.utexas.edu /string/archives/000271.html (1217 words)

	Non-thermal Relics as Dark Matter (Axions)
		was free to roll around the bottom of its Mexican hat potential.
		marble in the rim of a tilted Mexican hat.
		is thus related to the tilt of the potential,
	web.mit.edu /~redingtn/www/netadv/specr/345/node3.html (477 words)

	Scientist of the University of Ghent discovers natural atom antihydrogen
		This signature would not make sense if it was not confirming an earlier signature in the band spectrum of natural molecular hydrogen [3].
		Both types of complementary signatures for natural antihydrogen, as well as a Mexican hat-type potential [4], were left unnoticed since the time of Bohr.
		The information published online is available in print in the 2005 March issue of the European Physical journal D [5].
	www.physorg.com /news3226.html (470 words)

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