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Extending coherent state transforms to Clifford analysis
Extending coherent state transforms to Clifford analysis

NON-RELATIVISTIC QUANTUM MECHANICS - Philsci
NON-RELATIVISTIC QUANTUM MECHANICS - Philsci

pdf - at www.arxiv.org.
pdf - at www.arxiv.org.

A pseudo-mathematical pseudo-review on 4d N = 2
A pseudo-mathematical pseudo-review on 4d N = 2

... object, much like a group, a space or an algebra. Then, similarly to those more familiar mathematical objects, we can consider morphisms between two QFTs and various operations on QFTs. In this review a central role is played by the concept of a G-symmetric QFT, ...
Conference booklet - XXXV Workshop on Geometric Methods in
Conference booklet - XXXV Workshop on Geometric Methods in

... We review the notion of Vogel’s universality in simple Lie algebras and their applications. We present universal functions for: the (quantum) dimensions of adjoint and some other (series of) representations; generating function of eigenvalues of higher Casimir operators on adjoint representation; in ...
Paper - MaPhySto
Paper - MaPhySto

... of an instrument of indirect observation introduced by A.Barchielli [3-7 ] is used. The well known quantum filtering equation introduced first in papers of V.P.Belavkin [9-15] and describing the posterior quantum stochastic evolution of an open system subjected to continuous in time nondemolotion me ...
Direct Characterization of Quantum Dynamics: General Theory
Direct Characterization of Quantum Dynamics: General Theory

... and for arbitrary error basis elements Em and En , the Knill-Laflamme QEC condition for degenerate codes is hφc | En† Em |φc i = αnm , where αnm is a Hermitian matrix of complex numbers [1]. For nondegenerate codes, the QEC condition reduces to hφc | En† Em |φc i = δnm ; i.e., in this case the error ...
Localized - Current research interest: photon position
Localized - Current research interest: photon position

Third-order optical response of intermediate
Third-order optical response of intermediate

distribution functions in physics: fundamentals
distribution functions in physics: fundamentals

The solution of the “constant term problem” and the ζ
The solution of the “constant term problem” and the ζ

... corresponding approximating metric graph with non-standard boundary conditions being not necessarily of the δ-type or δ 0 -type. The analysis of the Laplacian as the prime example and generic model system for a Schrödinger operator is very wide-reaching in the field of quantum chaos such as the anal ...
Indecomposable Representations of the Square
Indecomposable Representations of the Square

Short introduction to quantum mechanics
Short introduction to quantum mechanics

... The function cos(4φ) is therefore an eigenfunction of dφ 2 corresponding to the eigenvalue -16. Quite clearly also sin(4φ) is an eigenfuncd2 tion of dφ 2 to the eigenvalue -16, and so is any linear combination of cos(4φ) and sin(4φ), α cos(4φ) + β sin(4φ) , α, β ∈ Z. ...
EMBEDDABLE QUANTUM HOMOGENEOUS SPACES 1
EMBEDDABLE QUANTUM HOMOGENEOUS SPACES 1

QUANTUM MECHANICS • Introduction : Quantum Mechanics with
QUANTUM MECHANICS • Introduction : Quantum Mechanics with

draft
draft

On the quantization of the superparticle action in proper time and the
On the quantization of the superparticle action in proper time and the

... how operates the square-root H Hamiltonian given by expression (28) on a given physical state? Is very well known the problem of locality and interpretation of the operator like (25). Several attemps for to avoid these problems was written in the literature [5, 6]: differential pseudoelliptic operat ...
Quantum Optics Toolbox User`s Guide
Quantum Optics Toolbox User`s Guide

11 Harmonic oscillator and angular momentum — via operator algebra
11 Harmonic oscillator and angular momentum — via operator algebra

pdf
pdf

Quantum Computing with Majorana Fermions Coupled to
Quantum Computing with Majorana Fermions Coupled to

... are characterized by their properties during interchanges. Whereas bosons and fermions pick up a phase factor of 1 and −1 from interchanges, these quasiparticles can pick up any phase – hence the name. This can lead to a property called non-abelian statistics, meaning that interchanges between diffe ...
Consciousness as a State of Matter
Consciousness as a State of Matter

arXiv:math/0004155v2 [math.GT] 27 Apr 2000
arXiv:math/0004155v2 [math.GT] 27 Apr 2000

... manifold M, including the empty link. Consider the complex vector space with basis L, and factor it by the smallest subspace containing all expressions of the form −t − t−1 and + t2 + t−2 , where the links in each expression are identical except in a ball in which they look like depicted. This quo ...
Quantum many-body systems exactly solved by special functions
Quantum many-body systems exactly solved by special functions

Efficient Method to Perform Quantum Number Projection and
Efficient Method to Perform Quantum Number Projection and

... of nuclear physics more and more widely. It is increasingly important to have a unified understanding of nuclear structure in various regions of the nuclear chart, with a variety of ingredients such as shell effects, deformations and collective motions like rotation and vibration. Undoubtedly, the bas ...
< 1 2 3 4 5 6 7 8 9 10 ... 38 >

Compact operator on Hilbert space

In functional analysis, compact operators on Hilbert spaces are a direct extension of matrices: in the Hilbert spaces, they are precisely the closure of finite-rank operators in the uniform operator topology. As such, results from matrix theory can sometimes be extended to compact operators using similar arguments. In contrast, the study of general operators on infinite-dimensional spaces often requires a genuinely different approach.For example, the spectral theory of compact operators on Banach spaces takes a form that is very similar to the Jordan canonical form of matrices. In the context of Hilbert spaces, a square matrix is unitarily diagonalizable if and only if it is normal. A corresponding result holds for normal compact operators on Hilbert spaces. (More generally, the compactness assumption can be dropped. But, as stated above, the techniques used are less routine.)This article will discuss a few results for compact operators on Hilbert space, starting with general properties before considering subclasses of compact operators.
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