Research Papers:

Refereed papers:
  1. Eigenvalue asymptotics for the Schrödinger operator with steplike magnetic field and slowly decreasing electric potential,
    Publ. Res. Inst. Math. Sci. 39 (2003), no. 2, 297--330.

  2. The essential spectrum of Schrödinger operators with asymptotically constant magnetic fields on the Poincaré upper-half plane, (with Yuzuru INAHAMA),
    J. Math. Phys. 44 (2003), no. 1, 89--106.

  3. Spectral properties of Pauli operators on the Poincaré upper-half plane, (with Yuzuru INAHAMA),
    J. Math. Phys. 44 (2003), no. 6, 2451--2462.

  4. Eigenvalue asymptotics for the Schrödinger operators on the hyperbolic plane, (with Yuzuru INAHAMA),
    J. Funct. Anal. 211 (2004), 424--456.

  5. Eigenvalue asymptotics for the Schrödinger operators on the real and the complex hyperbolic spaces, (with Yuzuru INAHAMA),
    J. Math. Pures Appl. (9), 83 (2004), no. 5, 589--627.

  6. Eigenvalue asymptotics for the Maass Hamiltonian with decreasing electric potentials,
    Publ. Res. Inst. Math. Sci., 41 (2005), no. 2, 435--457.

  7. Strong-electric-field eigenvalue asymptotics for the Iwatsuka model,
    J. Math. Phys. 46 (2005), no. 5, (22 pages).

  8. Decay of magnetic eigenfunctions on asymptotically hyperbolic plane,
    J. Math. Sci. Univ. Tokyo, 12 (2005), 319--347.

  9. On the heat trace of the magnetic Schrödinger operators on the hyperbolic plane, (with Yuzuru INAHAMA),
    Math. Phys. Electron. J., 12 (2006), Paper 4, (46 pages). (electronic).

  10. Existence and decay of solutions to a semilinear Schrödinger equation with magnetic field,
    Hokkaido Math. J. 37 (2008), no. 2, 241--273.

  11. Some applications of the Pohozaev identity,
    J. Math. Phys. 50 (2009), no. 4, (13 pages).

  12. Nonlinear Schrödinger Equations with Steep Magnetic Well,
    Tokyo J. Math. 36 (2013), no. 1, 1--23.

  13. Multi-bump solutions to a nonlinear Schrödinger equation with steep magnetic wells,
    J. Math. Phys. 56, (2015), no. 9, (19 pages).


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