107 citations · 241 across the 13 of their papers we have counts for
13 papers
On numerical solutions of the time-dependent Schrödinger equation
Wytse van Dijk
We review an explicit approach to obtaining numerical solutions of the Schrödinger equation that is conceptionally straightforward and capable of significant accuracy and efficienc…
Numerical solutions of the time-dependent Schrodinger equation in two dimensions
Wytse van Dijk, Trevor Vanderwoerd, Sjirk-Jan Prins
The generalized Crank-Nicolson method is employed to obtain numerical solutions of the two-dimensional time-dependent Schrodinger equation. An adapted alternating-direction implici…
Fisher zeros of a unitary Bose gas
Wytse van Dijk, Calvin Lobo, Alison MacDonald +1
For real inverse temperature beta, the canonical partition function is always positive, being a sum of positive terms. There are zeros, however, on the complex beta plane that are…
Numerical solutions of the Schrodinger equation with source terms or time-dependent potentials
W. van Dijk, F. M. Toyama
We develop an approach to solving numerically the time-dependent Schrodinger equation when it includes source terms and time-dependent potentials. The approach is based on the gene…
On the higher virial coefficients of a unitary Fermi gas
R. K. Bhaduri, W. van Dijk, M. V. N. Murthy
Third and higher order quantum virial coefficients require the solution of the corresponding quantum many-body problem. Nevertheless, in an earlier paper (Phys. Rev. Lett. 108, 260…
The universal equation of state of a unitary fermionic gas
R. K. Bhaduri, W. van Dijk, M. V. N. Murthy
It is suggested that for a fermi gas at unitarity, the two-body bond plays a special role. We propose an equation of state using an ansatz relating the interaction part of the -…
Anomalous Fisher-like zeros for the canonical partition function of noninteracting fermions
R. K. Bhaduri, A. MacDonald, W. van Dijk
Noninteracting fermions, placed in a system with a continuous density of states, may have zeros in the -fermion canonical partition function on the positive real axis (or ve…
Memory effects induced by initial switching conditions
J. Martorell, D. W. L. Sprung, W. van Dijk +1
Initial-switching refers to the way in which the decay of an initially confined state begins, as the barrier isolating it from the exterior is relaxed. We study these effects in th…
Atomic quasi-Bragg diffraction in a magnetic field
K. F. E. M. Domen, M. A. H. M. Jansen, W. van Dijk +1
We report on a new technique to split an atomic beam coherently with an easily adjustable splitting angle. In our experiment metastable helium atoms in the |{1s2s}^3S_1 M=1> state…
Accurate numerical solutions of the time-dependent Schrödinger equation
W. van Dijk, F. M. Toyama
We present a generalization of the often-used Crank-Nicolson (CN) method of obtaining numerical solutions of the time-dependent Schrödinger equation. The generalization yields nume…
Bohmian description of a decaying quantum system
Y. Nogami, F. M. Toyama, W. van Dijk
We present a Bohmian description of a decaying quantum system. A particle is initially confined in a region around the origin which is surrounded by a repulsive potential barrier.…
Scattering in one dimension: The coupled Schroedinger equation, threshold behaviour and Levinson's theorem
K. A. Kiers, W. van Dijk
We formulate scattering in one dimension due to the coupled Schrödinger equation in terms of the matrix, the unitarity of which leads to constraints on the scattering amplitude…
The effective-range parameters of some realistic nucleon-nucleon potentials
W. van Dijk, M. W. Kermode, D-C Zheng
We consider the - and -shape parameters in the eigenphase and `bar' phase shift representations for the two Reid potentials and the more recent Moscow potential. The values o…