quantum manifolds and quantum pdes

... of bands lie on the bases of coupons; otherwise the bands, coupons, and annuli are disjoint; (iii) the bands and annuli of ˝ are directed The surface ˝ with the splitting into annuli, bands, and ... categories and connections to subfactors (A Ocneanu; J Barrett and B Westbury; S Gelfand and D Kazhdan) viii Preface 10 Skein constructions of modular categories (V Turaev and H Wenzl, A Beliakova and ... works of M Atiyah, A Joyal and R Street, L Kauffman, A Kirillov and N Reshetikhin, G Moore and N Seiberg, N Reshetikhin and V Turaev, G Segal, V Turaev and O Viro, and others (see References)...

Ngày tải lên: 03/05/2014, 17:47

... Chern-Simons Sigma Model and New Invariants of Three -Manifolds, JHEP 02 (2014) 067 [arXiv:1302.3227] Y Luo, M.-C Tan, and J Yagi, N = supersymmetric gauge theories and quantum integrable systems, ... Pei Chu and more, a o who have shared ideas with me, and thus enriched my understanding of physics and mathematics I am grateful to some other friends in life, for the good old days, and for ... the 2n bosonic zero modes φ0 , and M Lcs (Aϑ ) + SAϑ ,φ0 is the total action expanded around Aϑ and φ0 0 In the total action expanded around the flat gauge field Aϑ and the covari0 ¯ antly constant...

Ngày tải lên: 09/09/2015, 08:17

Ngày tải lên: 07/11/2012, 14:04

... where q is some big quantum (quasidassical) parameter, and A stands for the Lyapunov exponent In the standard map A ~ ln(g/2) (see Eq.(Zn) )and there are two quantum parameters: k and l I T The transition ... nature of quantum mechanics However, even though the random element in quantum mechanics ( "quantum jumps") is inavoidable, indeed, it can be singled out and separated from the proper quantum processes ... 241 E Pseudorandomness of Tm 242 F An Aside on Liouville Numbers 242 G Comparison of Pseudorandom and Truly Random Cases 243 H Numerical Solutions 243 I HI Quantum Longtime Behavior and Localization...

Ngày tải lên: 05/03/2014, 11:21

... long time reaction and its distribution in particle size is in the broadening range In this article, we report on the preparation of CdSe quantum dots (QDs) by sol-gel method and investigate their ... spectrophotometer Result and discussion To calculate the particle size of QDs we use some following models: + Using absorption spectra to estimate the mean sizes of QDs: The Effros, Brus and Kayanuma’s ... between mean size and specific parameters of QDs [7]: a  a  E g (a ) = E g + π R  B  − 1,786R *  B  − 0,248R * y y  a   a  * y (1) where E g(a) is the effective band gap of QDs with...

Ngày tải lên: 14/03/2014, 13:20

... with the pore surface and the atomic Si has absorbed and exchange energy and momentum with the atom, causing overcooling at the surface Because the precipitation, nucleation and growth of SiNWs ... tip of the SiNWs is sharp and has a perfect lattice structure This is in contrast with the previous SiNWs that are round and contain a high density of stacking faults and micro-twins Obviously, ... surface and the M Lu et al / Chemical Physics Letters 374 (2003) 542–547 change in diameter along its length is seldom observed The SiNWs are virtually defect-free and show no kink, dislocation and...

Ngày tải lên: 16/03/2014, 15:08

... Korsch and Jodl [1.10] and Nusse and Yorke [1.11] also emphasize hands-on approach to dynamics With this, and a graduate level-exposure to statistical mechanics, partial differential equations and quantum ... motions, and the interweaving of their global stable and unstable manifolds These features are robust and accessible in systems as noisy as slices of rat brains Poincar´, the first to e understand ... another sphere in free space and if their sizes and their paths and directions before collision are known, we can then foretell and calculate how they will rebound and what course they will take...

Ngày tải lên: 17/03/2014, 14:29

... the point and is expressed in terms of the external forces Larger bodies and material systems are built from these massive and spinless points, and taking into account the constraints and interactions ... , k – and where M α and with s ≥ 1, obtained in terms of the q i and t while the functions derivatives of the previous ones, will be functions of the time t and of the variables qi and their ... endeavour one has such lovely and unconditional supporters as my wife Merche and daughters Miren and Edurne, the goal will be achieved Thanks to them for inspiring love and courage The analysis of...

Ngày tải lên: 17/03/2014, 14:37

... left-handed and righthanded particles, respectively, and are separately conserved The two currents j (x) and j (x) are the Noether currents corresponding to the two transformations (x) ! ei (x) and ... The two-component objects L and R are called left-handed and righthanded Weyl spinors You can easily verify that their transformation laws, under in nitesimal rotations and boosts , are L ! (1 ; ... method of quantum eld theory, the formalism of Feynman diagrams We will then apply this formalism to computations in Quantum Electrodynamics, the quantum theory of electrons and photons Quantum...

Ngày tải lên: 17/03/2014, 14:38

... distinguished men and women of science and learning, and of outstanding achievers and entrepreneurs from industry, governments, and international organizations, along with promising and enthusiastic ... of the American Institute of Polish Culture, Chopin Foundation and Honorary Consul of the Republic of Poland in Miami, and to Dr and Mrs Edward Bacinich of Palm Beach, Florida Behram N Kursunoglu ... Quantum Gravity, Generalized Theory of Gravitation, and SuperstringTheory-Based Unification This page intentionally left blank Quantum Gravity, Generalized Theory of Gravitation, and Superstring...

Ngày tải lên: 17/03/2014, 14:41

Ngày tải lên: 17/03/2014, 14:41

... Hilbert space, and proved the mathematical equivalence between matrix mechanics and wave mechanics Initiating and largely completing the theory of self-adjoint operators on a Hilbert space, and introducing ... matrices and quantum entropy, this book remains the de nitive account of the mathematical structure of elementary quantum mechanics (von Neumann's book was preceded by Dirac's The Principles of Quantum ... type In and type II1 factors are nite Factors of type I1 and II1 are then called semi nite, and type III factors are purely in nite It is hard to construct an example of a II1 factor, and even...

Ngày tải lên: 17/03/2014, 14:41

... Vertex operators and correlation functions 3.4 Discrete states and chiral ring Compact target space and winding modes in MQM 4.1 Circle embedding and duality ... b) Fig I.4: Interactions of open and closed strings At the classical level it is certainly not unique One has open and closed, oriented and non-oriented, N = and N = supersymmetric string theories ... associate e2ν with each handle and eν with each strip On the other hand, each interaction process should involve a coupling constant Therefore, ν determines the closed and open string coupling...

Ngày tải lên: 17/03/2014, 14:41

... fields of quantum information theory and quantum computation These are new and exciting fields of physics whose interests for those concerned with the foundations and conceptual status of quantum ... pair, and Following the protocol, the entanglement between and 2, and between and is destroyed, but and will end up entangled, whereas before they had been uncorrelated The entanglement of and ... implications for the nature and location of quantum information: Deutsch and Hayden claim to have provided an account of quantum mechanics which is particularly local, and which finally clarifies...

Ngày tải lên: 17/03/2014, 14:42

... transition from classical to quantum fq; pg ¡! [Q; P ] ; i¹ h (2.2) where q and p are classical observables with quantum operator analogs given by Q and P respectively and f; g is the Poisson bracket ... i±; (1.46) where ² and ± are real and m 61 Then from equations 1.45 and 1.44 it follows that = ²(am1 + a1m ) + i±(am1 ¡ a1m ) + (²2 + ± )(amm ¡ e) ¸ 0: (1.47) For small enough ² and ±, it can be ... (for all operators P and Q, jsi V, and a; b C) (a) (Qjsi)y = hsjQy (b) Qyy = Q (c) (aP + bQ)y = a¤ P y + b¤ Qy (d) (P Q)y = Qy P y (e) P Q is hermitian if P and Q are hermitian and [P; Q] = (f) For...

Ngày tải lên: 17/03/2014, 14:42

... Supersymmetry in quantum and classical mechanics / B Bagchi p cm. (Chapman & Hall/CRC monographs and surveys in pure and applied mathematics) Includes bibliographical references and index ISBN ... Debajyoti Bhaumik, Subhas Chandra Bose, Jayprokas Chakrabarti, Mithil Ranjan Gupta, Birendranath Mandal, Rabindranath Sen, and Nandadulal Sengupta for their interest and encouragement It also gives ... [14] J Wess and B Zumino, Nucl Phys., B70, 39, 1974 [15] S Coleman and J Mandula, Phys Rev., 159, 1251, 1967 [16] A Salam and J Strathdee, Fortsch Phys., 26, 57, 1976 [17] A Salam and J Strathdee,...

Ngày tải lên: 17/03/2014, 14:44

... (T,) and intensity fluctuations (.r,) as calculated from Eq (6.10) in [53] (note the different scales for T~ and T,) correlation times zp and z, of the fluctuations of the amplitude fl and the ... 56 R Graham: Qvv ,and d o , are found to be real, if the time reversal symmetry and the phase symmetry is used d o , and Qvvfdescribe frequency shifts due to the linear response and to nonlinear ... brings in a new randomly phased mode of higher frequency and smaller wavenumber and increases the number of arbitrary phases by The resulting motion is highly 56 R Graham: Q v vand d o , are found...

Ngày tải lên: 17/03/2014, 14:58

... intentionally left blank QUANTUM FINANCE Path Integrals and Hamiltonians for Options and Interest Rates This book applies the mathematics and concepts of quantum mechanics and quantum field theory ... ‘Introduction to finance’ and on ‘Derivative securities’ are meant for physicists and mathematicians unfamiliar with concepts of finance On the other hand, discussions on quantum mechanics and quantum field ... (government) notes and bonds; corporate and municipal bonds; mortgage-backed securities (MBS) r Derivative market: options; forwards and futures Indexes r Equity indexes: Dow Jones and Standard and Poor’s...

Ngày tải lên: 23/03/2014, 12:20

... (properties and spectra); - Reactive collisions and chemical reactions, computational chemistry and physics; and - Condensed matter (clusters and crystals, surfaces and interfaces) Density matrices and ... potential, P1 and P2 or = P and = , respectively The total angular momentum of each cluster, J1 and J2 and their projections J1z and J2z together with the vibrational and electronic quantum numbers ... the quantum mechanical nature of the full process and get a more clear relationship between chemical species and eigenstates The quantum theory of molecular structure developed here and the standard...

Ngày tải lên: 28/03/2014, 10:20