primack, smilansky quantum 3d sinai billiard a semiclassical analysis

primack, smilansky. quantum 3d sinai billiard.. a semiclassical analysis

... (31)H. Primack, U. Smilansky / Physics Reports 327 (2000) 1}107 19THE QUANTUM THREE-DIMENSIONAL SINAI BILLIARD } A SEMICLASSICAL ANALYSIS Harel PRIMACK, Uzy SMILANSKY Fakulta( tfu(r Physik, Albert-Ludwigs ... fnsmila1@weizmann.weizmann.ac.il (U. Smilansky) Physics Reports 327 (2000) 1}107The quantum three-dimensional Sinai billiard } a semiclassical analysis Harel Primack*, Uzy Smilansky Fakulta( tfu(r ... the leading order of the trace formula[15,70] and therefore are of no interest in our semiclassical analysis. ) If all the segments areclassically allowed, then we have a valid classical periodic...

Path integrals in physics volume 1 stochastic process & quantum mechanics m chaichian, a demichev

... thereader. In particular, chapters 1 and 2 include all details, are completely self-contained and require only a very basic knowledge of mathematical analysis and non-relativistic quantum mechanics. ... stochastic processes, quantum- mechanicalor statistical (classical or quantum) averaging). In many cases we stress its concrete meaning by anappropriate subscript. But essentially, all the averages ... of a measure in the case of the Feynman or phase-space quantum- mechanical path integrals is not merely a techn icality: it means that these in fact are notintegrals; instead, they are linear...

Quantum theory - concepts & methods a peres

... mean “he or she or it.”Introducing the quantum language13asymmetries may appear paradoxical because elementary dynamical laws areinvariant under time reversal.12However, there is no real ... molecules of a gas. Classical statistical mechanics could explain manyphenomena, but it was considered only as a pragmatic approximation to thetrue laws of physics. Conceptually, the position q and ... have been a matterof concern to a classical physicist, because the latter would not have considered a “photon” as a genuine particle anyway— this was only a convenient namefor a bunch of radiation....

feynman, vernon. theory of quantum system interacting with a linear dissipative system

... ...

3d computer graphics - a mathematical introduction with opengl

... construc-tions and methods from several areas, including geometry, calculus, linear algebra, numeri-cal analysis, abstract algebra, data structures, and algorithms. In fact, computer graphics isarguably ... matrices, linear al-gebra, and calculus.Appendix B. RayTrace Software Package. Describes a ray tracing software package. Thesoftware is freely downloadable.Team LRNxiv PrefaceExercises are ... very prevalent, and thus even graphics sys-tems that are logically vector based are typically displayed on hardware that is pixel based.The disadvantage is that pixel-based hardware cannot directly...

Báo cáo y học: "Genetic polymorphism of p53, but not GSTP1, is association with susceptibility to esophageal cancer risk – A Meta-Analysis"

... mentioning that there are 2 main forms of esophageal cancer histologically, squamous cell car-cinoma (SCC) and adenocarcinoma, and each has dis-tinct etiologic and pathologic characteristics. Squam-ous ... Detoxication of base propenals and other alpha, be-ta-unsaturated aldehyde products of radical reactions and lipid peroxidation by human glutathione transferases. Proc Natl Acad Sci U S A 1994;91:1480-1484. ... oncogene activation, the p53 protein accumulates rapidly through posttran-scriptional mechanisms and is also activated as a transcriptional factor, which leads to cell cycle arrest for DNA repair...

Báo cáo y học: "Association between regulated upon activation, normal T cells expressed and secreted (RANTES) -28C/G polymorphism and asthma risk – A Meta-Analysis"

... Table 2 and Figure 1). We further performed stratified analysis ac-cording to asthma type (atopic asthma and non-atopic asthma), age (children and adult) and eth-nicity (Asian and Caucasian ... this association. Key words: RANTES, polymorphism, susceptibility, asthma, meta -analysis Introduction Asthma is a chronic inflammatory disorder of the airways and is characterized by variable ... important in airway inflammation be-cause blocking antibodies to RANTES inhibit airway inflammation in a murine model of allergic airway disease [7]. A growing body of evidence suggests that many...

Báo cáo y học: "Genetic polymorphisms in the nucleotide excision repair pathway and lung cancer risk: A meta-analysis"

... Proc Natl Acad Sci (USA) 1995; 92: 2662-6. 64. Tanaka K, Miura N, Satokata I, et al. Analysis of a human DNA excision repair gene involved in group A xeroderma pigmento-sum and containing a zinc-finger ... combining data from various sources as in a meta -analysis. The idea of ad-justing the results of meta-analyses for publication bias and imputing "fictional" studies into a meta -analysis ... that must be activated by Phase I enzymes, such as cytochrome P450s. All activated carcinogens can bind to DNA and form DNA adducts that are capable of inducing muta-tions and initiating carcinogenesis....

Báo cáo y học: "A comparative analysis of antibody repertoire against Staphylococcus aureus antigens in Patients with Deep-Seated versus Superficial staphylococcal Infections"

... repertoire against Staphylococcus aureus antigens in Patients with Deep-Seated versus Superficial staphylococcal Infections Ashok Kumar 1 2, Pallab Ray 2, Mamta Kanwar 1 2, Meera Sharma 2, ... response against these antigens may also add diagnostic information when patients with putative invasive S. aureus infection are being evaluated. 2. Material and Methods 2.1. Study population ... these antigens were not shared by other Gram-positive and Gram-negative bacteria tested. 3.5. Anti-staphylococcal antibodies react with PG and TA We observed that levels of anti-staphylococcal...

Negative questions in English and Vietnamese - A contrastive analysis

... statement Affirmative statement with tag question I am awake. I am awake, am I not? You are awake. You are awake, aren't you? She is awake. She is awake, isn't she? We are awake. ... regarded as “partial negative”.Apart from adverbials, the ambiguity is also made by an operator in a negative, here, operator is not a normal auxiliary expressing grammatical function, but a ... modal auxiliary. With a negative modal auxiliary, verb phrase falls into a situation that the negation belongs to main verb or auxiliary, the interpretation of the negative depends on the negative...

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