Mostrando recursos 1 - 20 de 737

  1. Star Product, Star Exponential and Applications

    Yoshioka, Akira
    We introduce star products for certain function space containing polynomials, and then we obtain an associative algebra of functions. In this algebra we can consider exponential elements, which are called star exponentials. Using star exponentials we can define star functions in the star product algebra. We explain several examples.

  2. Star Product, Star Exponential and Applications

    Yoshioka, Akira
    We introduce star products for certain function space containing polynomials, and then we obtain an associative algebra of functions. In this algebra we can consider exponential elements, which are called star exponentials. Using star exponentials we can define star functions in the star product algebra. We explain several examples.

  3. Star Product, Star Exponential and Applications

    Yoshioka, Akira
    We introduce star products for certain function space containing polynomials, and then we obtain an associative algebra of functions. In this algebra we can consider exponential elements, which are called star exponentials. Using star exponentials we can define star functions in the star product algebra. We explain several examples.

  4. Star Product, Star Exponential and Applications

    Yoshioka, Akira
    We introduce star products for certain function space containing polynomials, and then we obtain an associative algebra of functions. In this algebra we can consider exponential elements, which are called star exponentials. Using star exponentials we can define star functions in the star product algebra. We explain several examples.

  5. Fisher Metric for Diagonalizable Quadratic Hamiltonians and Application to Phase Transitions

    Vetsov, Tsvetan; Rashkov, Radoslav
    We derive the extended entanglement entropy and the Fisher information metric in the case of quantum models, described by time-independent diagonal quadratic Hamiltonians. Our research is conducted within the framework of Thermo field dynamics. We also study the properties of the Fisher metric invariants to identify the phase structure of the quasi-particle systems in equilibrium.

  6. Fisher Metric for Diagonalizable Quadratic Hamiltonians and Application to Phase Transitions

    Vetsov, Tsvetan; Rashkov, Radoslav
    We derive the extended entanglement entropy and the Fisher information metric in the case of quantum models, described by time-independent diagonal quadratic Hamiltonians. Our research is conducted within the framework of Thermo field dynamics. We also study the properties of the Fisher metric invariants to identify the phase structure of the quasi-particle systems in equilibrium.

  7. Fisher Metric for Diagonalizable Quadratic Hamiltonians and Application to Phase Transitions

    Vetsov, Tsvetan; Rashkov, Radoslav
    We derive the extended entanglement entropy and the Fisher information metric in the case of quantum models, described by time-independent diagonal quadratic Hamiltonians. Our research is conducted within the framework of Thermo field dynamics. We also study the properties of the Fisher metric invariants to identify the phase structure of the quasi-particle systems in equilibrium.

  8. Fisher Metric for Diagonalizable Quadratic Hamiltonians and Application to Phase Transitions

    Vetsov, Tsvetan; Rashkov, Radoslav
    We derive the extended entanglement entropy and the Fisher information metric in the case of quantum models, described by time-independent diagonal quadratic Hamiltonians. Our research is conducted within the framework of Thermo field dynamics. We also study the properties of the Fisher metric invariants to identify the phase structure of the quasi-particle systems in equilibrium.

  9. Evidence of a ${\bf {6.12 \times 10^{18}}}$ GeV Particle: Detection and Mathematics

    Smith, Paul T.
    In a new approach the graviton is defined as the field particle of spacetime rather than the mediator of gravity. The unification equation is derived and used to predict that for a freely falling body, the energy of incident gravitons is $6.12\times 10^{18}$ GeV. Redshift and scattering of gravitons should produce diffraction patterns, galactic halos and expansion of the Universe. The energy of incident gravitons remains constant as the Universe evolves because of the Doppler shift as bodies fall towards redshifted gravitons. Complex space is used to represent gravitons and explain Young’s two-slit interference. The approach is corroborated by empirical...

  10. Evidence of a ${\bf {6.12 \times 10^{18}}}$ GeV Particle: Detection and Mathematics

    Smith, Paul T.
    In a new approach the graviton is defined as the field particle of spacetime rather than the mediator of gravity. The unification equation is derived and used to predict that for a freely falling body, the energy of incident gravitons is $6.12\times 10^{18}$ GeV. Redshift and scattering of gravitons should produce diffraction patterns, galactic halos and expansion of the Universe. The energy of incident gravitons remains constant as the Universe evolves because of the Doppler shift as bodies fall towards redshifted gravitons. Complex space is used to represent gravitons and explain Young’s two-slit interference. The approach is corroborated by empirical...

  11. Evidence of a ${\bf {6.12 \times 10^{18}}}$ GeV Particle: Detection and Mathematics

    Smith, Paul T.
    In a new approach the graviton is defined as the field particle of spacetime rather than the mediator of gravity. The unification equation is derived and used to predict that for a freely falling body, the energy of incident gravitons is $6.12\times 10^{18}$ GeV. Redshift and scattering of gravitons should produce diffraction patterns, galactic halos and expansion of the Universe. The energy of incident gravitons remains constant as the Universe evolves because of the Doppler shift as bodies fall towards redshifted gravitons. Complex space is used to represent gravitons and explain Young’s two-slit interference. The approach is corroborated by empirical...

  12. Evidence of a ${\bf {6.12 \times 10^{18}}}$ GeV Particle: Detection and Mathematics

    Smith, Paul T.
    In a new approach the graviton is defined as the field particle of spacetime rather than the mediator of gravity. The unification equation is derived and used to predict that for a freely falling body, the energy of incident gravitons is $6.12\times 10^{18}$ GeV. Redshift and scattering of gravitons should produce diffraction patterns, galactic halos and expansion of the Universe. The energy of incident gravitons remains constant as the Universe evolves because of the Doppler shift as bodies fall towards redshifted gravitons. Complex space is used to represent gravitons and explain Young’s two-slit interference. The approach is corroborated by empirical...

  13. Mathematical Models of Classical Electrodynamics

    Savov, Sava
    Four mathematical models of classical electrodynamics based on vector fields, tensor spaces, geometric algebras and differential forms are represented in parallel and compared.

  14. Mathematical Models of Classical Electrodynamics

    Savov, Sava
    Four mathematical models of classical electrodynamics based on vector fields, tensor spaces, geometric algebras and differential forms are represented in parallel and compared.

  15. Mathematical Models of Classical Electrodynamics

    Savov, Sava
    Four mathematical models of classical electrodynamics based on vector fields, tensor spaces, geometric algebras and differential forms are represented in parallel and compared.

  16. Mathematical Models of Classical Electrodynamics

    Savov, Sava
    Four mathematical models of classical electrodynamics based on vector fields, tensor spaces, geometric algebras and differential forms are represented in parallel and compared.

  17. Bifurcation of Closed Geodesics

    Rýparová, Lenka; Mikeš, Josef
    This paper is denoted to further study of geodesic bifurcation on surfaces of revolution. We demonstrate an example of bifurcation of closed geodesics on surfaces.

  18. Bifurcation of Closed Geodesics

    Rýparová, Lenka; Mikeš, Josef
    This paper is denoted to further study of geodesic bifurcation on surfaces of revolution. We demonstrate an example of bifurcation of closed geodesics on surfaces.

  19. Bifurcation of Closed Geodesics

    Rýparová, Lenka; Mikeš, Josef
    This paper is denoted to further study of geodesic bifurcation on surfaces of revolution. We demonstrate an example of bifurcation of closed geodesics on surfaces.

  20. Bifurcation of Closed Geodesics

    Rýparová, Lenka; Mikeš, Josef
    This paper is denoted to further study of geodesic bifurcation on surfaces of revolution. We demonstrate an example of bifurcation of closed geodesics on surfaces.

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