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We searched integrable 2D homogeneous polynomial potential with a polynomial first integral by using the so-called direct method of searching for first integrals. We proved that there exist no polynomial first integrals which are genuinely cubic or quartic in the momenta if the degree of homogeneous polynomial potentials is greater than 4. PACS numbers:â€¦ (More)

We consider a natural Hamiltonian system of n degrees of freedom with a homogeneous potential. Such system is called partially integrable if it admits 1 < l < n independent and commuting first integrals, and it is called super-integrable if it admits n + l, 0 < l < n independent first integrals such that n of them commute. We formulate two theorems whichâ€¦ (More)

- Michitaka Maruyama, Kenichi Katayama, +5 authors Nobu-hisa Kaneko
- 29th Conference on Precision Electromagneticâ€¦
- 2014

We are evaluating the linearity characteristics of digital voltmeters (DVMs) using a programmable Josephson voltage standard (PJVS) system. The PJVS system is composed of a 524 288 junction array and a 10 K compact cooler, which enables to generate an arbitrary output voltage of more than 10 V. The voltage signal output with the PJVS system was applied toâ€¦ (More)

- Michitaka Maruyama, Chiharu Urano, +5 authors Yuji Yoshino
- 2016 Conference on Precision Electromagneticâ€¦
- 2016

We are developing a compact Zener voltage generating system as a secondary standard of DC voltage. The main unit of the system includes a temperature-controlled Zener diode module driven with a built-in battery. It is detachable from an expansion unit with larger battery packs for longer-time battery operation. This system realizes a compact DC voltageâ€¦ (More)

abstract: A time-discretization that preserves the super-integrability of the Calogero model is obtained by application of the integrable time-discretization of the harmonic oscillator to the projection method for the Calogero model with continuous time. In particular, the difference equations of motion, which provide an explicit scheme forâ€¦ (More)

The maximal super-integrability of a discretization of the Calogeroâ€“Moser model by Suris is presented. An explicit formula for the additional constants of motion is given. keywords: Calogeroâ€“Moser model, super-integrability, integrable discretization pacs number: 02.30.Ik, 45.50.Jf

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