13 citations · 77 across the 21 of their papers we have counts for
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Nonexistence of wave operators via strong propagation estimates for Schrödinger operators with sub-quadratic repulsive potentials
Atsuhide Ishida, Masaki Kawamoto
Sub-quadratic repulsive potentials accelerate quantum particles and can relax the decay rate in the of the external potentials that guarantee the existence of the quantum w…
Asymptotic completeness of wave operators for Schrödinger operators with time-periodic magnetic fields
Masaki Kawamoto
Under the effect of suitable time-periodic magnetic fields, the velocity of a charged particle grows exponentially in ; this phenomenon provides the asymptotic completeness for…
Critical scattering in a time-dependent harmonic oscillator
Atsuhide Ishida, Masaki Kawamoto
Controlled time-decaying harmonic oscillator changes the threshold of decay order of the potential functions in order to exist the physical wave operators. This threshold was first…
Energy Stableness for Schrödinger Operators with Time-Dependent Potentials
Masaki Kawamoto
In this paper, we prove the energy stable property for time-dependent (generalized) Schrödinger operators by using Hardy inequality. Such property acts very important roles in quan…
Asymptotic behavior of solutions to nonlinear Schrödinger equations with time-dependent harmonic potentials
Masaki Kawamoto, Ryo Muramatsu
In this study, we examine the asymptotic behavior of solutions to nonlinear Schrödinger equations with time-dependent harmonic oscillators and prove the time-decay property of solu…
Existence and nonexistence of wave operators for time-decaying harmonic oscillators
Atsuhide Ishida, Masaki Kawamoto
Controlled time-decaying harmonic potentials decelerate the velocity of the charged particle but the particle never be trapped by this harmonic potentials. This physical phenomena…
Mourre Theory For Time-Periodic Magnetic Fields
Masaki Kawamoto
We study the Mourre theory for the Floquet Hamiltonian generated by the time-periodic Hamiltonian with , which describes the S…
Klein-Gordon equations with homogeneous time-dependent electric fields
Masaki Kawamoto
We consider a system associated to Klein-Gordon equations with homogeneous time-dependent electric fields. The upper and lower boundaries of a time-evolution propagator for this sy…
Quantum scattering with time-decaying harmonic oscillators
Masaki Kawamoto
By controlling coefficients and decaying order of time-decaying harmonic potentials, the velocity of a quantum particle is decelerated by the effect of harmonic potentials but the…