Takaomi Shigehara

REALIZING DISCONTINUOUS WAVE FUNCTIONS WITH RENORMALIZED SHORT-RANGE POTENTIALS

Abstract We show that the most general three-parameter family of point interactions on the line can be expressed as the self-adjoint local operators in terms of three Diracs delta functions with the renormalized strengths in the disappearing distances. Experimental realization of the Neumann boundary is discussed.

Fermion-Boson Duality of One-Dimensional Quantum Particles with Generalized Contact Interactions

For a system of spinless one-dimensional fermions, the nonvanishing short-range limit of a two-body interaction is shown to induce the wave-function discontinuity. We prove the equivalence of this fermionic system and the bosonic particle system with a two-body

Robust face detection against brightness fluctuation and size variation

\ensuremath{\delta}

Continuous Spectra of Generalized Kronig-Penney Model

-function interaction with the reversed role of strong and weak couplings.

Implementation of invisible messenger system to whisper in a person's ear remotely by integrating visual face tracking and speaker array

Proposes a face detection method intended to be used for a practical intelligent environment and human-interactive robot. Face detection and recognition are very crucial for such applications. However in the real situation, it is not easy to realize the robust detecting function because position, size, and brightness of the face image are very changeable. The proposed method solves these problems by combining correlation-based pattern matching, histogram equalization, skin color extraction, and multiple scale images generation. The authors have implemented a prototype system based upon the proposed method and conducted some experiments using the system. Results support the effectiveness of the proposed idea.

Equivalence of Local and Separable Realizations of Discontinuity-Inducing Contact Interaction

The standard Kronig–Penney model with periodic δ potentials is extended to the cases with generalized contact interactions. The eigen equation which determines the dispersion relation for one-dimensional periodic array of the generalized contact interactions is deduced with the transfer matrix formalism. Numerical results are presented which reveal unexpected band spectra with broader band gap in higher energy region for generic model with generalized contact interaction.

Scale anomaly and quantum chaos in billiards with pointlike scatterers.

This paper presents a working prototype system of a novel computer-human interface, named invisible messenger. It integrates visual face detection and tracking, and speaker array signal processing. By speaker array it is possible to form acoustic focus at the arbitrary location that is measured by the face tracking. Thus the implemented system can whisper in a persons ear as if an invisible virtual messenger were standing by the person. In this paper, the authors describe both ideas behind the system and key technology for the implementation. In order to confirm the effectiveness of the system, the authors conduct experiments using it. This paper also reports the experiment. Experimental remits demonstrate the effectiveness of the proposed idea.

Implementing a Face Detection System Practically Robust against Size Variation and Brightness Fluctuation for Distributed Autonomous Human Supporting Robotic Environment

We consider the regularized approximations of the discontinuity-inducing singular zero-range interaction in one-dimensional quantum mechanics. We prove that two known approximations, one in terms of local potential and the other in terms of separable function are equivalent. We further show that the interaction allows the perturbative treatment through the coupling constant renormalization.We prove that the separable and local approximations of the discontinuity-inducing zero-range interaction in one-dimensional quantum mechanics are equivalent. We further show that the interaction allows the perturbative treatment through the coupling renormalization. Keywords: one-dimensional system, generalized contact interaction, renormalization, perturbative expansion. PACS Nos: 3.65.-w, 11.10.Gh, 31.15.Md

Geometric phase in quantum billiards with a pointlike scatterer.

We argue that the random-matrix like energy spectra found in pseudointegrable billiards with pointlike scatterers are related to the quantum violation of scale invariance of classical analogue system. It is shown that the behavior of the running coupling constant explains the key characteristics of the level statistics of pseudointegrable billiards.

Some Aspects of Generalized Contact Interaction in One-Dimensional Quantum Mechanics

This paper presents a robust face detection system intended to be used for practical human interactive distributed robotic environment. Towards future aging society, there are much expectation and social demands for such human interactive environment that is possible to collaborate and support humans. Typical examples are Intelligent Room at MIT, Intelligent Space at University of Tokyo, Easy Living at Microsoft Research, and so forth. For these distributed robotic environment, face detecting function of the each agents are very crucial. However, in the real situation, it cannot be easy to realize the robust detection, because position, size, and brightness of face image are much changeable.