301 research outputs found
Non-commutative spaces in physics and mathematics
The present review aims both to offer some motivations and mathematical
prerequisites for a study of NCG from the viewpoint of a theoretical physicist
and to show a few applications to matrix theory and results obtained.
Lectures given by the author at the TMR School on contemporary string theory
and brane physics, 26 Jan--2 Feb 2000, Torino.Comment: 27 pages + figures (in .eps format), first part appeared as
hep-th/9802129. submitted to Class. Quant. Gra
Local Physical Coodinates from Symplectic Projector Method
The basic arguments underlying the symplectic projector method are presented.
By this method, local free coordinates on the constrait surface can be obtained
for a broader class of constrained systems. Some interesting examples are
analyzed.Comment: 8 page
String Theory and the Fuzzy Torus
We outline a brief description of non commutative geometry and present some
applications in string theory. We use the fuzzy torus as our guiding example.Comment: Invited review for IJMPA rev1: an imprecision corrected and a
reference adde
Rates of Depression and Anxiety in Cancer Patients: A Review of Cross-National Findings
Cancer is the leading cause of death worldwide. In this paper, we examine the similarities and differences between the United States (US) and the European Union (EU-27) in the incidences, deaths, types of screening, and screening rates for breast, cervical, colorectal, prostate, and lung cancers. We highlight the differences between the health care, economic, and sociopolitical systems in the US and EU-27 that result in different types of coverage, access to health care, and cancer screening. Finally, we discuss patient-directed, provider-directed, community-directed, and system-directed interventions and the outcomes of these approaches
Commutator Anomaly in Noncommutative Quantum Mechanics
In this letter, firstly, the Schrdinger equation on noncommutative
phase space is given by using a generalized Bopp's shift. Then the anomaly term
of commutator of arbitrary physical observable operators on noncommutative
phase space is obtained. Finally, the basic uncertainty relations for
space-space and space-momentum as well as momentum-momentum operators in
noncommutative quantum mechanics (NCQM), and uncertainty relation for arbitrary
physical observable operators in NCQM are discussed.Comment: 7 page
Three flavors of extremal Betti tables
We discuss extremal Betti tables of resolutions in three different contexts.
We begin over the graded polynomial ring, where extremal Betti tables
correspond to pure resolutions. We then contrast this behavior with that of
extremal Betti tables over regular local rings and over a bigraded ring.Comment: 20 page
Holographic Entropy Packing inside a Black Hole
If general relativity is spontaneously induced, the black hole limit is
governed by a phase transition which occurs precisely at the would have been
horizon. The exterior Schwarzschild solution then connects with a novel core of
vanishing spatial volume. The Kruskal structure, admitting the exact Hawking
imaginary time periodicity, is recovered, with the conic defect defused at the
origin, rather than at the horizon. The entropy stored inside \textbf{any}
interior sphere is universal, equal to a quarter of its surface area, thus
locally saturating the 't Hooft-Susskind holographic bound. The associated
Komar mass and material energy functions are non-singular.Comment: [V3] accepted to PRL (version shortened, a paragraph on singularity
structure added); 10 pages, no figure
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