In this article, we present a set of hierarchy Bloch equations for the reduced density operators in either canonical or grand canonical ensembles in the occupation number representation. They provide a convenient tool for studying the equilibrium quantum statistical mechanics for some model systems. As an example of their applications, we solve the equations for the model system with a pairing ...

We construct second-quantized (field) theories on coset spaces of pseudo-unitary groups U(N+, N−). The existence of degenerated quantum vacua (coherent states of zero modes) leads to a breakdown of the original pseudo-unitary symmetry. The action of some spontaneously broken symmetry transformations destabilize the vacuum and make it to radiate. We study the structure of this thermal radiation ...

We compute the center in case q is a primitive root of unity. 1. Introduction Let F be a eld of characteristic zero. There are several ways to quantize the matrix algebra M n (F). Among them, the most common is probably the algebra introduced by Faddeev, Reshetikhin, and Takhtajan in 4]. Denote that algebra by M n (q). In 3] Dipper and Donkin deened another quantized matrix algebra which has ma...

In the past, JBIG technique produced strong anisotropic features. But JBIG has inefficient on compress. To solve the problem, this paper proposes a novel coding scheme based on the H.264 intra-frame coding. The H.264 contains two steps to compress the video. The first is residual scalar quantization (RSQ) mode. It directly quantized and entropy coded. In the entropy coding part, quantized resid...

For High Efficiency Video Coding (HEVC) using block-based prediction, the discrete cosine transform (DCT), and quantization, a large number of DCT coefficients in a transform block (TB) are commonly found to be quantized to zero. A two-dimensional transform in HEVC is usually implemented by first applying a butterfly-based one-dimensional (1D) DCT to each row of the residual block, followed by ...

Dissipativity and feedback passivity properties in nonlinear multiple-input multiple-output (MIMO) discrete-time systems are examined. Three main results are presented. First, necessary and sufficient conditions for the characterization of a class of dissipative nonlinear MIMO discrete-time systems in general form are proposed. The class of dissipativity treated is referred to as Quadratic Stor...

We present a general computer algorithm to contract an arbitrary number of second-quantized expressions and simplify the obtained analytical result. The functions that perform these operations are a part of the program Nostromo which facilitates the handling and analysis of the complicated mathematical formulas which are often encountered in modern quantum-chemical models. In contrast to existi...

We study the behaviour, in the simultaneous limits h̄ → 0, t → ∞, of the Husimi and Wigner distributions of initial coherent states and position eigenstates, evolved under the quantized hyperbolic toral automorphisms and the quantized baker map. We show how the exponential mixing of the underlying dynamics manifests itself in those quantities on time scales logarithmic in h̄. The phase space dist...

In this article we show that boundary conditions can be treated as Lagrangian and Hamiltonian primary constraints. Using the Dirac method, we find that boundary conditions are equivalent to an infinite chain of second class constraints which is a new feature in the context of constrained systems. We discuss the Dirac brackets and the reduced phase space structure for different boundary conditio...