Intensity Scintillation and Astronomical Quantum Observation

Holography is 3D imaging which can record intensity and phase at the same time. The importance of construct hologram is holographic recording and wavefront reconstruction. It is surprised that holography be discovered in study interstellar scintillation for pulsar provide a coherent light source recently. I think that is speckle hologram and speckle interference(i.e. intensity interference), and use modern technique which include phased array,CCD, digital signal processing and supercomputer can achieve that digital and computer holography from radio to X-ray astronomy. This means we can use it to image the universe and beyond the limited of telescope for cosmos provide much coherent light from pulsar,maser, black hole to 21cm recombination line. It gives a probe to the medium of near the black hole et al. From those coherent light sources in the sky, we can uncover one different universe that through astronomical quantum observation which use intensity interference.Comment: submitte

Cyclostationary in the Time Variable Universe

Cyclostationary processes are those signals whose have vary almost periodically in statistics. It can give rise to random data whose statistical characteristics vary periodically with time although these processes not periodic functions of time. Intermittent pulsar is a special type in pulsar astronomy which have period but not a continuum. The Rotating RAdio TransientS (RRATs) represent a previously unknown population of bursting neutron stars. Cyclical period changes of variables star also can be thought as cyclostationary which are several classes of close binary systems. Quasi-Periodic Oscillations (QPOs) refer to the way the X-ray light from an astronomical object flickers about certain frequencies in high-energy (X-ray) astronomy. I think that all above phenomenon is cyclostationary process. I describe the signal processing of cyclostationary, then discussed that the relation between it and intermittent pulsar, RRATs, cyclical period changes of variables star and QPOs, and give the perspective of finding the cyclostationary source in the transient universe.Comment: Submitte

Rationality of vertex operator algebras

It is shown that a simple vertex operator algebra V is rational if and only if its Zhu algebra A(V) is semisimple and each irreducible admissible V-module is ordinary. A contravariant form on a Verma type admissible V-module is constructed and the radical is exactly the maximal proper submodule. As an application the rationality of V_L^+ for any positive definite even lattice is obtained.Comment: 33page

Bimodules associated to vertex operator algebras

Let V be a vertex operator algebra and m,n be nonnegative integers. We construct an A_n(V)-A_m(V)-bimodule A_{n,m}(V) which determines the action of V from the level m subspace to level n subspace of an admissible V-module. We show how to use A_{n,m}(V) to construct naturally admissible V-modules from A_m(V)-modules. We also determine the structure of A_{n,m}(V) when V is rational.Comment: a minor chang

Representations of the vertex operator algebra V_{L_{2}}^{A_{4}}

The rationality and C_2-cofiniteness of the orbifold vertex operator algebra V_{L_{2}}^{A_{4}} are established and all the irreducible modules are constructed and classified. This is part of classification of rational vertex operator algebras with c=1.Comment: 24 pages, a correction of Lemma 5.

A characterization of the rational vertex operator algebra VZα+V_{\Z\alpha}^{+}}: II

A characterization of vertex operator algebra $V_L^+$ for any rank one positive definite even lattice $L$ is given in terms of dimensions of homogeneous subspaces of small weights. This result reduces the classification of rational vertex operator algebras of central charge 1 to the characterization of three vertex operator algebras in the $E$-series of central charge one.Comment: 32 page

A characterization of the vertex operator algebra VL2A4V_{L_{2}}^{A_{4}}

The rational vertex operator algebra $V_{L_{2}}^{A_{4}}$ is characterized in terms of weights of primary vectors. This reduces the classification of rational vertex operator algebras with $c=1$ to the characterizations of $V_{L_{2}}^{S_{4}}$ and $V_{L_{2}}^{A_{5}}.$Comment: 19 pages, published versio

Bimodules and g-rationality of vertex operator algebras

This paper studies the twisted representations of vertex operator algebras. Let V be a vertex operator algebra and g an automorphism of V of finite order T. For any m,n in (1/T)Z_+, an A_{g,n}(V)-A_{g,m}(V)-bimodule A_{g,n,m}(V) is constructed. The collection of these bimodules determines any admissible g-twisted V-module completely. A Verma type admissible g-twisted V-module is constructed naturally from any A_{g,m}(V)-module. Furthermore, it is shown with the help of bimodule theory that a simple vertex operator algebra V is g-rational if and only if its twisted associative algebra A_g(V) is semisimple and each irreducible admissible g-twisted V-module is ordinary.Comment: 32 page

Representations of vertex operator algebras

This paper is an exposition of the representation theory of vertex operator algebras in terms of associative algebras A_n(V) and their bimodules. A new result on the rationality is given. That is, a simple vertex operator algebra V is rational if and only if its Zhu algebra A(V) is a semisimple associative algebra and each irreducible admissible $V$-module is ordinary.Comment: 13 pages, final version for publicatio

Quantum Atmospherics for Materials Diagnosis

Symmetry breaking states of matter can transmit symmetry breaking to nearby atoms or molecular complexes, perturbing their spectra. We calculate one such effect, involving the `axion electrodynamics' relevant to topological insulators, quantitatively, and identify a signature for T violating superconductivity. We provide an operator framework whereby effects of this kind can be analyzed systematically.Comment: Includes several stylistic changes and minor additions, plus significant new material on (chiral) superconductors. Published versio