Research Papers:
Refereed papers:
-
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.
-
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.
-
Spectral properties of Pauli operators
on the Poincaré upper-half plane,
(with Yuzuru INAHAMA),
J. Math. Phys. 44 (2003), no. 6, 2451--2462.
-
Eigenvalue asymptotics for the Schrödinger operators
on the hyperbolic plane,
(with Yuzuru INAHAMA),
J. Funct. Anal. 211 (2004), 424--456.
-
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.
-
Eigenvalue asymptotics for the Maass Hamiltonian
with decreasing electric potentials,
Publ. Res. Inst. Math. Sci., 41 (2005), no. 2, 435--457.
-
Strong-electric-field eigenvalue asymptotics for the Iwatsuka model,
J. Math. Phys. 46 (2005), no. 5, (22 pages).
-
Decay of magnetic eigenfunctions on asymptotically hyperbolic plane,
J. Math. Sci. Univ. Tokyo, 12 (2005), 319--347.
-
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).
-
Existence and decay of solutions to a semilinear Schrödinger equation with magnetic field,
Hokkaido Math. J. 37 (2008), no. 2, 241--273.
-
Some applications of the Pohozaev identity,
J. Math. Phys. 50 (2009), no. 4, (13 pages).
-
Nonlinear Schrödinger Equations with Steep Magnetic Well,
Tokyo J. Math. 36 (2013), no. 1, 1--23.
-
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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