scholarly journals The regulated four-parameter one-dimensional point interaction

1996 ◽  
Vol 29 (18) ◽  
pp. 6073-6085 ◽  
Author(s):  
José María Román ◽  
Rolf Tarrach
Keyword(s):  
Point Interaction ◽  
One Dimensional

One-dimensional point interaction with Griffiths’ boundary conditions

2012 ◽  
Vol 90 (4) ◽  
pp. 383-389 ◽  
Author(s):  
F.A.B. Coutinho ◽  
Y. Nogami ◽  
F.M. Toyama
Keyword(s):  
Boundary Conditions ◽  
Point Interaction ◽  
One Dimensional

GENERALIZED POINT INTERACTION AND TUNNELING TIMES

2012 ◽  
Vol 26 (15) ◽  
pp. 1250092 ◽  
Author(s):  
S. Lj. S. KOČINAC ◽  
V. MILANOVIĆ
Keyword(s):  
Point Interaction ◽  
Point Interactions ◽  
One Dimensional ◽  
Tunneling Times

The scattering properties of four-parameter one-dimensional point interactions also define time aspect of these interactions. In this paper we investigate how different families of point interactions affect the relevant tunneling times. Particular emphasis is given to various interpretations of so called δ' potential.

PHASE RIGIDITY OF POINT INTERACTIONS

2012 ◽  
Vol 27 (01) ◽  
pp. 1350001 ◽  
Author(s):  
S. Lj. S. KOČINAC ◽  
V. MILANOVIĆ
Keyword(s):  
Quantum Mechanics ◽  
Bound States ◽  
Point Interaction ◽  
Supersymmetric Quantum Mechanics ◽  
Point Interactions ◽  
One Dimensional ◽  
Generate Family ◽  
Discrete Part ◽  
The Continuum

In this paper, we investigate phase rigidity of one-dimensional point interactions. With the aid of supersymmetric quantum mechanics (SUSYQM) we generate family of isospectral potentials describing point interactions. We than demonstrate that for SUSYQM generated bound states in the continuum (BIC) phase rigidity is always zero, while for bound states from discrete part of spectrum phase rigidity may vary from zero to unity, depending on the strength of point interaction.

Energy-dependent point interaction: Self-adjointness

2006 ◽  
Vol 84 (11) ◽  
pp. 991-1005 ◽  
Author(s):  
F AB Coutinho ◽  
Y Nogami ◽  
L Tomio ◽  
F M Toyama
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Stationary Solutions ◽  
Point Interaction ◽  
One Dimensional ◽  
Nonstationary State ◽  
Complete Set ◽  
Energy Dependent ◽  
Dependent Point ◽  
03.65 Ge

Recently, we constructed an energy-dependent point interaction (EDPI) in its most general form in one-dimensional quantum mechanics. In this paper, we show that stationary solutions of the Schrodinger equation with the EDPI form a complete set. Then any nonstationary solution of the time-dependent Schrodinger equation can be expressed as a linear combination of stationary solutions. This, however, does not necessarily mean that the EDPI is self-adjoint and the time-development of the nonstationary state is unitary. The EDPI is self-adjoint provided that the stationary solutions are all orthogonal to one another. We illustrate situations in which this orthogonality condition is not satisfied.PACS Nos.: 03.65.–w, 03.65.Nk, 03.65.Ge

One-dimensional point interaction with three complex parameters

2008 ◽  
Vol 41 (23) ◽  
pp. 235306 ◽  
Author(s):  
F A B Coutinho ◽  
Y Nogami ◽  
F M Toyama
Keyword(s):  
Point Interaction ◽  
One Dimensional
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