3,498 research outputs found

    Extension of a Spectral Bounding Method to Complex Rotated Hamiltonians, with Application to p2ix3p^2-ix^3

    Full text link
    We show that a recently developed method for generating bounds for the discrete energy states of the non-hermitian ix3-ix^3 potential (Handy 2001) is applicable to complex rotated versions of the Hamiltonian. This has important implications for extension of the method in the analysis of resonant states, Regge poles, and general bound states in the complex plane (Bender and Boettcher (1998)).Comment: Submitted to J. Phys.

    MULTINATIONAL FOOD MARKETING: COMPETITIVE STRATEGIES OF U.S. FIRMS

    Get PDF
    International Relations/Trade, Marketing,

    Generating Converging Bounds to the (Complex) Discrete States of the P2+iX3+iαXP^2 + iX^3 + i\alpha X Hamiltonian

    Full text link
    The Eigenvalue Moment Method (EMM), Handy (2001), Handy and Wang (2001)) is applied to the HαP2+iX3+iαXH_\alpha \equiv P^2 + iX^3 + i\alpha X Hamiltonian, enabling the algebraic/numerical generation of converging bounds to the complex energies of the L2L^2 states, as argued (through asymptotic methods) by Delabaere and Trinh (J. Phys. A: Math. Gen. {\bf 33} 8771 (2000)).Comment: Submitted to J. Phys.

    Silicon oxide films grown and deposited in a microwave discharge

    Get PDF
    Growth and deposition of silicon dioxide films in microwave discharg

    INTERNATIONAL PROFILE OF U.S. FOOD PROCESSORS

    Get PDF
    Agribusiness, International Relations/Trade,

    Generating Bounds for the Ground State Energy of the Infinite Quantum Lens Potential

    Full text link
    Moment based methods have produced efficient multiscale quantization algorithms for solving singular perturbation/strong coupling problems. One of these, the Eigenvalue Moment Method (EMM), developed by Handy et al (Phys. Rev. Lett.{\bf 55}, 931 (1985); ibid, {\bf 60}, 253 (1988b)), generates converging lower and upper bounds to a specific discrete state energy, once the signature property of the associated wavefunction is known. This method is particularly effective for multidimensional, bosonic ground state problems, since the corresponding wavefunction must be of uniform signature, and can be taken to be positive. Despite this, the vast majority of problems studied have been on unbounded domains. The important problem of an electron in an infinite quantum lens potential defines a challenging extension of EMM to systems defined on a compact domain. We investigate this here, and introduce novel modifications to the conventional EMM formalism that facilitate its adaptability to the required boundary conditions.Comment: Submitted to J. Phys.
    corecore