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Search Results: 1 - 10 of 1958 matches for " Hidatada Sasaki "
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Diets of obese and non-obese children  [PDF]
Atsuko Satoh, Seiko Fujita, Kazuko Menzawa, Sangun Lee, Masao Miyamoto, Hidatada Sasaki
Health (Health) , 2011, DOI: 10.4236/health.2011.38080
Abstract: Aim: To compare diets between obese and non-obese in children. Methods: Thirty-four obese and ten non-obese school children were recruited and their habitual factors of obesity were asked. Intakes of food in the obesity and non-obesity groups were checked using a model nutritional balance chart (MNBC). Results: Average intake ratio of food relative to ideal food intake was significantly higher in the non-obesity group than the obesity group. The relationship between obesity and exercise was significant but not significant for intake ratio of food, times watching TV and playing games. Conclusion: Food intake is not a primary factor of obesity but exercise is a key factor for obesity in school children. Since the effect of diet intervention in obese children was slight, exercise habit would be a more important strategy to reduce obesity than diet in school children.
Proposal on Tunneling Effect between Quantum Hall States  [PDF]
Shosuke Sasaki
Journal of Modern Physics (JMP) , 2013, DOI: 10.4236/jmp.2013.49A001
Abstract:

In the integer and fractional quantum Hall effects, the electric current flows through a thin layer under the strong magnetic field. The diagonal resistance becomes very small at integer and specific fractional filling factors where the electron scatterings are very few. Accordingly the coherent length is large and therefore a tunneling effect of electrons may be observed. We consider a new type of a quantum Hall device which has a narrow potential barrier in the thin layer. Then the electrons flow with tunneling effect through the potential barrier. When the oscillating magnetic field is applied in addition to the constant field, the voltage steps may appear in the curve of voltage V versus electric current I. If the voltage steps are found in the experiment, it is confirmed that the 2D electron system yields the same phenomenon as that of the ac-Josephson effect in a superconducting system. Furthermore the step V is related to the transfer charge Q as V = (hf)/Q where f is the frequency of the oscillating field and h is the Planck constant. Then the detection of the step V determines the transfer charge Q. The ratio Q/e (e is the elementary charge) clarifies the

Weierstrass’ Elliptic Function Solution to the Autonomous Limit of the String Equation of Type (2,5)*  [PDF]
Yoshikatsu Sasaki
Advances in Pure Mathematics (APM) , 2014, DOI: 10.4236/apm.2014.48055
Abstract:

In this article, we study the string equation of type (2,5), which is derived from 2D gravity theory or the string theory. We consider the equation as a 4th order analogue of the first Painlevé equation, take the autonomous limit, and solve it concretely by use of the Weierstrass’ elliptic function.

Erratum to “Weierstrass’ Elliptic Function Solution to the Autonomous Limit of the String Equation of Type (2,5)” [Advances in Pure Mathematics 4 (2014), 494-497]  [PDF]
Yoshikatsu Sasaki
Advances in Pure Mathematics (APM) , 2014, DOI: 10.4236/apm.2014.412077
Abstract: In this note, we analyze a few major claims about . As a consequence, we rewrite a major theorem, nullify its proof and one remark of importance, and offer a valid proof for it. The most important gift of this paper is probably the reasoning involved in all: We observe that a constant, namely t, has been changed into a variable, and we then tell why such a move could not have been made, we observe the discrepancy between the claimed domain and the actual domain of a supposed function that is created and we then explain why such a function could not, or should not, have been created, along with others.
Degeneration of the Superintegrable System with Potentials Described by the Sixth Painlevé Transcendents  [PDF]
Yoshikatsu Sasaki
Journal of Applied Mathematics and Physics (JAMP) , 2014, DOI: 10.4236/jamp.2014.211113
Abstract:

This article concerns the quantum superintegrable system obtained by Tremblay and Winternitz, which allows the separation of variables in polar coordinates and possesses three conserved quantities with the potential described by the sixth Painlevé equation. The degeneration procedure from the sixth Painlvé equation to the fifth one yields another new superintegrable system; however, the Hermitian nature is broken.

Spin Polarization of Fractional Quantum Hall States with ν < 2  [PDF]
Shosuke Sasaki
Journal of Modern Physics (JMP) , 2015, DOI: 10.4236/jmp.2015.66085
Abstract: The spin polarization of a fractional quantum Hall state shows very interesting properties. The curve of polarization versus magnetic field has wide plateaus. The fractional quantum Hall effect is caused by the Coulomb interaction because the 2D electron system without the Coulomb interaction yields no energy gap at the fractional filling factor. Therefore, the wide plateau in the polarization curve is also caused by the Coulomb interaction. When the magnetic field is weak, some electrons have up-spins and the others down-spins. Therein the spin-exchange transition occurs between two electrons with up and down spins via the Coulomb interaction. Then the charge distribution before the transition is the same as one after the transition. So these two states have the same classical Coulomb energy. Accordingly, the partial Hamiltonian composed of the spin exchange interaction should be treated exactly. We have succeeded in diagonalizing the spin exchange interaction for the first and second nearest electron pairs. The theoretical results reproduce the wide plateaus very well. If the interval modulations between Landau orbitals are taken into the Hamiltonian, the total energy has the Peierls instability. We can diagonalize the Hamiltonian with the interval modulation. The results reproduce wide plateaus and small shoulders which are in good agreement with the experimental data.
Relation between FQHE Plateau Width and Valley Energy  [PDF]
Shosuke Sasaki
Journal of Modern Physics (JMP) , 2015, DOI: 10.4236/jmp.2015.67100
Abstract: We have investigated the Fractional Quantum Hall Effect (FQHE) on the fundamental Hamiltonian with the Coulomb interactions between normal electrons without any quasi particle. The electron pairs placed in the Landau orbitals can transfer to many empty orbitals. The number of the quantum transitions decreases discontinuously when the filling factor v deviates from the specific fractional number of v0. The discontinuous decreasing produces the energy valley at the specific filling factors v0 = 2/3, 4/5, 3/5, 4/7, 3/7, 2/5, 1/3 and so on. The diagonal elements of the total Hamiltonian and the number of the quantum transitions give the total energy of the FQH states. The energy per electron has the discontinuous spectrum depending on the filling factor v. We obtain the function form of the energy per electron in the quantum Hall system. Then the theoretical Hall resistance curve is calculated near several filling factors. Therein the quantum Hall plateaus are derived from the energy valleys. The depths of the energy valleys are compared with the widths of the quantum Hall plateaus appearing in the experimental data of the Hall resistance. Our theoretical results are in good agreement with the experimental results.
Fractional Quantum Hall States for Filling Factors 2/3 < ν < 2  [PDF]
Shosuke Sasaki
Journal of Modern Physics (JMP) , 2015, DOI: 10.4236/jmp.2015.65064
Abstract: Fractional quantum Hall effect (FQHE) is investigated by employing normal electrons and the fundamental Hamiltonian without any quasi particle. There are various kinds of electron configurations in the Landau orbitals. Therein only one configuration has the minimum energy for the sum of the Landau energy, classical Coulomb energy and Zeeman energy at any fractional filling factor. When the strong magnetic field is applied to be upward, the Zeeman energy of down-spin is lower than that of up-spin for electrons. So, all the Landau orbitals in the lowest level are occupied by the electrons with down-spin in a strong magnetic field at 1 < ν < 2. On the other hand, the Landau orbitals are partially occupied by up-spins. Two electrons with up-spin placed in the nearest orbitals can transfer to all the empty orbitals of up-spin at the specific filling factors \"\" and so on. When the filling factor ν deviates from ν0, the number of allowed transitions decreases abruptly in comparison with that at ν0. This mechanism creates the energy gaps at ν0. These energy gaps yield the fractional quantum Hall effect. We compare the present theory with the composite fermion theory in the region of 2/3 < ν < 2.
The Best Constant of Discrete Sobolev Inequality on a Weighted Truncated Tetrahedron  [PDF]
Yoshikatsu Sasaki
World Journal of Engineering and Technology (WJET) , 2015, DOI: 10.4236/wjet.2015.33C022
Abstract:

The best constant of discrete Sobolev inequality on the truncated tetrahedron with a weight which describes 2 kinds of spring constants or bond distances. Main results coincides with the ones of known results by Kametaka et al. under the assumption of uniformity of the spring constants. Since the buckyball fullerene C60 has 2 kinds of edges, destruction of uniformity makes us proceed the application to the chemistry of fullerenes.

Weierstrass’ Elliptic Function Solutions to the Autonomous Limit of the String Equation  [PDF]
Yoshikatsu Sasaki
Journal of Applied Mathematics and Physics (JAMP) , 2016, DOI: 10.4236/jamp.2016.44093
Abstract:

In this article, we study the string equation of type (2, 2n + 1), which is derived from 2D gravity theory or the string theory. We consider the equation as a 2n-th order analogue of the first Painlevéequation, take the autonomous limit, and solve it concretely by use of the Weierstrass’ elliptic function.

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