28 research outputs found
High-resolution phonocardiogram parameters
The article describes the results of studying and analyzing phonocardiograms (PCGs) obtained during a physiological experiment with Blu-ray standard equipment. It provides the findings of a spectral and spectral-time analysis for signals with a sampling frequency of 10, 44.1 and 192 kHz. It shows that the differences in the PCG spectra of identical signals are unreliable. The article specifies the onset and disappearance moments of the harmonic components of heart sounds. It also provides recommendations on the sampling frequency and bit resolution of digitized PCG signals for telemetric systems
The Quantum-Classical Correspondence in Polygonal Billiards
We show that wave functions in planar rational polygonal billiards (all
angles rationally related to Pi) can be expanded in a basis of quasi-stationary
and spatially regular states. Unlike the energy eigenstates, these states are
directly related to the classical invariant surfaces in the semiclassical
limit. This is illustrated for the barrier billiard. We expect that these
states are also present in integrable billiards with point scatterers or
magnetic flux lines.Comment: 8 pages, 9 figures (in reduced quality), to appear in PR
Level spacing distribution of pseudointegrable billiard
In this paper, we examine the level spacing distribution of the
rectangular billiard with a single point-like scatterer, which is known as
pseudointegrable. It is shown that the observed is a new type, which is
quite different from the previous conclusion. Even in the strong coupling
limit, the Poisson-like behavior rather than Wigner-like is seen for ,
although the level repulsion still remains in the small region. The
difference from the previous works is analyzed in detail.Comment: 11 pages, REVTeX file, 3 PostScript Figure
Evanescent wave approach to diffractive phenomena in convex billiards with corners
What we are going to call in this paper "diffractive phenomena" in billiards
is far from being deeply understood. These are sorts of singularities that, for
example, some kind of corners introduce in the energy eigenfunctions. In this
paper we use the well-known scaling quantization procedure to study them. We
show how the scaling method can be applied to convex billiards with corners,
taking into account the strong diffraction at them and the techniques needed to
solve their Helmholtz equation. As an example we study a classically
pseudointegrable billiard, the truncated triangle. Then we focus our attention
on the spectral behavior. A numerical study of the statistical properties of
high-lying energy levels is carried out. It is found that all computed
statistical quantities are roughly described by the so-called semi-Poisson
statistics, but it is not clear whether the semi-Poisson statistics is the
correct one in the semiclassical limit.Comment: 7 pages, 8 figure
Spin chains from super-models
We construct and study a class of N particle supersymmetric Hamiltonians with
nearest and next-nearest neighbor inverse-square interaction in one dimension.
We show that inhomogeneous XY models in an external non-uniform magnetic field
can be obtained from these super-Hamiltonians in a particular limit decoupling
the fermionic degrees of freedom from the kinematic ones. We further consider a
suitable deformation of these super-models such that inhomogeneous XXZ
Hamiltonians in an external non-uniform magnetic field are obtained in the same
limit. We show that this deformed Hamiltonian with rational potential is, (i)
mapped to a set of free super-oscillators through a similarity transformation
and (ii) supersymmetric in terms of a new, non-standard realization of the
supercharge. We construct many exact eigenstates of this Hamiltonian and
discuss about the applicability of this technique to other models.Comment: 36 pages, RevTeX, No figures, v1; Corrected typos, Added minor
clarifications, v2; Added discussions, version to appear in JPSJ, v