109 citations · 790 across the 27 of their papers we have counts for
11 papers · 1 filter
Probability current in zero-spin relativistic quantum mechanics
Tamás Fülöp, Tamás Matolcsi
We show that the antisymmetric spinor tensor representation of spin-0 relativistic quantum mechanics provides a conserved current with positive definite timelike component, interpr…
Quantum Force Induced on a Partition Wall in a Harmonic Potential
T. Fulop, I. Tsutsui
Boundary effects in quantum mechanics are examined by considering a partition wall inserted at the centre of a harmonic oscillator system. We put an equal number of particles on bo…
Quantum force due to distinct boundary conditions
Tamas Fulop, Hitoshi Miyazaki, Izumi Tsutsui
We calculate the quantum statistical force acting on a partition wall that divides a one dimensional box into two halves. The two half boxes contain the same (fixed) number of noni…
Weakly nonlocal fluid mechanics - the Schrodinger equation
P. Van, T. Fulop
A weakly nonlocal extension of ideal fluid dynamics is derived from the Second Law of thermodynamics. It is proved that in the reversible limit the additional pressure term can be…
Connection Conditions and the Spectral Family under Singular Potentials
Izumi Tsutsui, Tamas Fulop, Taksu Cheon
To describe a quantum system whose potential is divergent at one point, one must provide proper connection conditions for the wave functions at the singularity. Generalizing the sc…
Classical Aspects of Quantum Walls in One Dimension
Tamas Fulop, Taksu Cheon, Izumi Tsutsui
We investigate the system of a particle moving on a half line x >= 0 under the general walls at x = 0 that are permitted quantum mechanically. These quantum walls, characterized by…
Spectral Structure of Quantum Line with a Defect
Taksu Cheon, Tamas Fulop, Izumi Tsutsui
We study the spectral properties of one-dimensional quantum wire with a single defect. We reveal the existence of the non-trivial topological structures in the spectral space of th…
Moebius Structure of the Spectral Space of Schroedinger Operators with Point Interaction
Izumi Tsutsui, Tamas Fulop, Taksu Cheon
The Schroedinger operator with point interaction in one dimension has a U(2) family of self-adjoint extensions. We study the spectrum of the operator and show that (i) the spectrum…
Symmetry, Duality and Anholonomy of Point Interactions in One Dimension
Taksu Cheon, Tamas Fulop, Izumi Tsutsui
We analyze the spectral structure of the one dimensional quantum mechanical system with point interaction, which is known to be parametrized by the group U(2). Based on the classif…
Duality and Anholonomy in Quantum Mechanics of 1D Contact Interactions
Izumi Tsutsui, Tamas Fulop, Taksu Cheon
We study systems with parity invariant contact interactions in one dimension. The model analyzed is the simplest nontrivial one --- a quantum wire with a point defect --- and yet i…
A Free Particle on a Circle with Point Interaction
Tamas Fulop, Izumi Tsutsui
The quantum dynamics of a free particle on a circle with point interaction is described by a U(2) family of self-adjoint Hamiltonians. We provide a classification of the family by…