The Experts below are selected from a list of 255 Experts worldwide ranked by ideXlab platform

Keiichi R Ito - One of the best experts on this subject based on the ideXlab platform.

  • a canonical ensemble approach to the fermion boson random point processes and its applications
    Communications in Mathematical Physics, 2006
    Co-Authors: Hiroshi Tamura, Keiichi R Ito
    Abstract:

    We introduce the boson and the fermion point processes from the elementary quantum mechanical point of view. That is, we consider quantum statistical mechanics of the canonical ensemble for a fixed number of particles which obey Bose-Einstein, Fermi-Dirac Statistics, respectively, in a finite volume. Focusing on the distribution of positions of the particles, we have point processes of the fixed number of points in a bounded domain. By taking the thermodynamic limit such that the particle density converges to a finite value, the boson/fermion processes are obtained. This argument is a realization of the equivalence of ensembles, since resulting processes are considered to describe a grand canonical ensemble of points. Random point processes corresponding to para-particles of order two are discussed as an application of the formulation. Statistics of a system of composite particles at zero temperature are also considered as a model of determinantal random point processes.

  • a canonical ensemble approach to the fermion boson random point processes and its applications
    arXiv: Mathematical Physics, 2005
    Co-Authors: Hiroshi Tamura, Keiichi R Ito
    Abstract:

    We introduce the boson and the fermion point processes from the elementary quantum mechanical point of view. That is, we consider quantum statistical mechanics of canonical ensemble for a fixed number of particles which obey Bose-Einstein, Fermi-Dirac Statistics, respectively, in a finite volume. Focusing on the distribution of positions of the particles, we have point processes of the fixed number of points in a bounded domain. By taking the thermodynamic limit such that the particle density converges to a finite value, the boson/fermion processes are obtained. This argument is a realization of the equivalence of ensembles, since resulting processes are considered to describe a grand canonical ensemble of points. Random point processes corresponding to para-particles of order two are discussed as an application of the formulation. A Statistics of a system of composite particles at zero temperature are also considered as a model of determinantal random point processes.

B Jogai - One of the best experts on this subject based on the ideXlab platform.

  • influence of surface states on the two dimensional electron gas in algan gan heterojunction field effect transistors
    Journal of Applied Physics, 2003
    Co-Authors: B Jogai
    Abstract:

    The electron transfer into the two-dimensional electron gas (2DEG) of AlGaN/GaN heterojunction field-effect transistors (HFETs) is examined theoretically using a charge-control model. The model is based on a self-consistent solution of the Poisson, Schrodinger, and charge balance equations, together with the k⋅p Hamiltonian for the valence band states. Realistic surface boundary conditions are imposed, and surface states are included using Fermi–Dirac Statistics. Based on the assumption that surface donors are the underlying cause of the 2DEG, a wide range of published data on the 2DEG can be explained. For instance, the variation of the 2DEG density with the AlGaN layer thickness and mole fraction can be accounted for, along with other experimental results, such as the reduction of the 2DEG density when the HFET is capped with a GaN layer, the saturation of the 2DEG density for thick GaN caps, and the increase in the 2DEG density when the surface is passivated.

  • free electron distribution in algan gan heterojunction field effect transistors
    Journal of Applied Physics, 2002
    Co-Authors: B Jogai
    Abstract:

    A detailed calculation of the free electron concentration and conduction and valence band edges of AlGaN/GaN heterojunction field-effect transistors is presented. The model is based on a self-consistent solution of the Schrodinger, Poisson, and charge balance equations and includes the effect of exchange correlation on the Coulomb interaction. It also includes surface acceptor and donor states populated according to Fermi–Dirac Statistics. The piezoelectric and spontaneous polarization discontinuities across the material interfaces are rigorously taken into account. The influence of the polarization discontinuity on the magnitude of the charge in the two-dimensional electron gas is investigated. From charge conservation, it is shown that the polarization discontinuity does not behave as dopants in the same manner as substitutional impurities. Any free electrons within the structure must originate from some other source, either from the surface through surface donors, or from the bulk through unintentional...

Andres Cuevas - One of the best experts on this subject based on the ideXlab platform.

  • empirical determination of the energy band gap narrowing in p silicon heavily doped with boron
    Journal of Applied Physics, 2014
    Co-Authors: Di Yan, Andres Cuevas
    Abstract:

    In the analysis of highly doped silicon, energy band gap narrowing (BGN) and degeneracy effects may be accounted for separately, as a net BGN in conjunction with Fermi-Dirac Statistics, or lumped together in an apparent BGN used with Boltzmann Statistics. This paper presents an experimental study of silicon highly doped with boron, with the aim of evaluating the applicability of previously reported BGN models. Different boron diffusions covering a broad range of dopant densities were prepared, and their characteristic recombination current parameters J0 were measured using a contactless photoconductance technique. The BGN was subsequently extracted by matching theoretical simulations of carrier transport and recombination in each of the boron diffused regions and the measured J0 values. An evaluation of two different minority carrier mobility models indicates that their impact on the extraction of the BGN is relatively small. After considering possible uncertainties, it can be concluded that the BGN is sl...

  • empirical determination of the energy band gap narrowing in highly doped n silicon
    Journal of Applied Physics, 2013
    Co-Authors: Di Yan, Andres Cuevas
    Abstract:

    Highly doped regions in silicon devices should be analyzed using Fermi-Dirac Statistics, taking into account energy band gap narrowing (BGN). An empirical expression for the BGN as a function of dopant concentration is derived here by matching the modeled and measured thermal recombination current densities J0 of a broad range of n+ dopant concentration profiles prepared by phosphorus diffusion. The analysis is repeated with Boltzmann Statistics in order to determine a second empirical expression for the apparent energy band gap narrowing, which is found to be in good agreement with previous work.

Hiroshi Tamura - One of the best experts on this subject based on the ideXlab platform.

  • a canonical ensemble approach to the fermion boson random point processes and its applications
    Communications in Mathematical Physics, 2006
    Co-Authors: Hiroshi Tamura, Keiichi R Ito
    Abstract:

    We introduce the boson and the fermion point processes from the elementary quantum mechanical point of view. That is, we consider quantum statistical mechanics of the canonical ensemble for a fixed number of particles which obey Bose-Einstein, Fermi-Dirac Statistics, respectively, in a finite volume. Focusing on the distribution of positions of the particles, we have point processes of the fixed number of points in a bounded domain. By taking the thermodynamic limit such that the particle density converges to a finite value, the boson/fermion processes are obtained. This argument is a realization of the equivalence of ensembles, since resulting processes are considered to describe a grand canonical ensemble of points. Random point processes corresponding to para-particles of order two are discussed as an application of the formulation. Statistics of a system of composite particles at zero temperature are also considered as a model of determinantal random point processes.

  • a canonical ensemble approach to the fermion boson random point processes and its applications
    arXiv: Mathematical Physics, 2005
    Co-Authors: Hiroshi Tamura, Keiichi R Ito
    Abstract:

    We introduce the boson and the fermion point processes from the elementary quantum mechanical point of view. That is, we consider quantum statistical mechanics of canonical ensemble for a fixed number of particles which obey Bose-Einstein, Fermi-Dirac Statistics, respectively, in a finite volume. Focusing on the distribution of positions of the particles, we have point processes of the fixed number of points in a bounded domain. By taking the thermodynamic limit such that the particle density converges to a finite value, the boson/fermion processes are obtained. This argument is a realization of the equivalence of ensembles, since resulting processes are considered to describe a grand canonical ensemble of points. Random point processes corresponding to para-particles of order two are discussed as an application of the formulation. A Statistics of a system of composite particles at zero temperature are also considered as a model of determinantal random point processes.

L P Horwitz - One of the best experts on this subject based on the ideXlab platform.

  • fourier transform quantum mechanics and quantum field theory on the manifold of general relativity
    European Physical Journal Plus, 2020
    Co-Authors: L P Horwitz
    Abstract:

    A proof is given for the Fourier transform for functions in a quantum mechanical Hilbert space on a non-compact manifold in general relativity. In the (configuration space) Newton–Wigner representation, we discuss the spectral decomposition of the canonical operators and give a proof of the Parseval–Plancherel relation and the Born rule for linear superposition. We then discuss the representations of pure quantum states and their dual vectors and construct the Fock space and the associated quantum field theory for Bose–Einstein and Fermi–Dirac Statistics.

  • fourier transform quantum mechanics and quantum field theory on the manifold of general relativity
    European Physical Journal Plus, 2020
    Co-Authors: L P Horwitz
    Abstract:

    A proof is given for the Fourier transform for functions in a quantum mechanical Hilbert space on a non-compact manifold in general relativity. In the (configuration space) Newton–Wigner representation, we discuss the spectral decomposition of the canonical operators and give a proof of the Parseval–Plancherel relation and the Born rule for linear superposition. We then discuss the representations of pure quantum states and their dual vectors and construct the Fock space and the associated quantum field theory for Bose–Einstein and Fermi–Dirac Statistics.