Approximation of general zero-range potentials
A norm resolvent convergence result is proved for approximations of general Schrodinger operators with zero-range potentials. An approximation of the δ’-interaction by nonlocal non-Hermitian potentials (without a renormalization of the coupling constant) is also constructed.
Saved in:
| Date: | 2000 |
|---|---|
| Main Authors: | Albeverio, S., Nizhnik, L. P., Альбевіро, С., Нижник, Л. П. |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4452 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Approximation of general zero-range potentials
by: Albeverio, S., et al.
Published: (2000)
by: Albeverio, S., et al.
Published: (2000)
Integrable Structure of Multispecies Zero Range Process
by: Kuniba, A., et al.
Published: (2017)
by: Kuniba, A., et al.
Published: (2017)
Zero Range Process and Multi-Dimensional Random Walks
by: Bogoliubov, N.M., et al.
Published: (2017)
by: Bogoliubov, N.M., et al.
Published: (2017)
Singularly perturbed self-adjoint operators in scales of Hilbert spaces
by: Albeverio, S., et al.
Published: (2007)
by: Albeverio, S., et al.
Published: (2007)
On the choice of zero approximation in case of revealing the complicated contact
by: Ju. I. Dubovenko, et al.
Published: (2013)
by: Ju. I. Dubovenko, et al.
Published: (2013)
On the best approximations of functions defined on zero-dimensional groups
by: Timan, M. F., et al.
Published: (2012)
by: Timan, M. F., et al.
Published: (2012)
Asymptotic Behavior of Logarithmic Potential of Zero Kind
by: Zabolotskii, N. V., et al.
Published: (2001)
by: Zabolotskii, N. V., et al.
Published: (2001)
Zero-free polynomial approximation on the union of two sets amply intersecting
by: P. M. Gauthier
Published: (2013)
by: P. M. Gauthier
Published: (2013)
On the improvement of the rate of convergence of the generalized Bieberbach polynomials in domains with zero angles
by: Abdullayev, F. G., et al.
Published: (2012)
by: Abdullayev, F. G., et al.
Published: (2012)
Spectral analysis of self-adjoint momentum operators with nonlocal potentials
by: Dȩbowska, K., et al.
Published: (2026)
by: Dȩbowska, K., et al.
Published: (2026)
Operators of Generalized Translation and Hypergroups Constructed from Self-Adjoint Differential Operators
by: Kosyak, O. V., et al.
Published: (2005)
by: Kosyak, O. V., et al.
Published: (2005)
Deterministic diffusion
by: Nizhnik, I. L., et al.
Published: (2026)
by: Nizhnik, I. L., et al.
Published: (2026)
Approximation by Finite Potentials
by: P. V. Malyshev, et al.
Published: (2013)
by: P. V. Malyshev, et al.
Published: (2013)
Approximation by Finite Potentials
by: Malyshev, P. V., et al.
Published: (2013)
by: Malyshev, P. V., et al.
Published: (2013)
On the improvement of the rate of convergence of the generalized Bieberbach polynomials in domains with zero angles
by: Abdullayev, F.G., et al.
Published: (2012)
by: Abdullayev, F.G., et al.
Published: (2012)
Stable range of generalized adequate ring
by: O. S. Sorokin
Published: (2012)
by: O. S. Sorokin
Published: (2012)
Stable difference scheme for a nonlinear Klein-Gordon equation
by: Nizhnik, L. P., et al.
Published: (1997)
by: Nizhnik, L. P., et al.
Published: (1997)
On point interaction in quantum mechanics
by: Nizhnik, L. P., et al.
Published: (1997)
by: Nizhnik, L. P., et al.
Published: (1997)
Asymptotic Estimation for Eigenvalues in the Exponential Potential and for Zeros of Kᵢᵥ() with Respect to Order
by: Krynytskyi, Yuri, et al.
Published: (2021)
by: Krynytskyi, Yuri, et al.
Published: (2021)
A generalization of an extended stochastic integral
by: Albeverio, S., et al.
Published: (2007)
by: Albeverio, S., et al.
Published: (2007)
Approximate method for the solution of the generalized Dirichlet problem
by: Lopushanskaya, G. P., et al.
Published: (1994)
by: Lopushanskaya, G. P., et al.
Published: (1994)
Generalized moment representations and multipoint padé approximants
by: Holub, A. P., et al.
Published: (2004)
by: Holub, A. P., et al.
Published: (2004)
Generalized moment representations and the Pade-Chebyshev approximations
by: Golub, A. P., et al.
Published: (1990)
by: Golub, A. P., et al.
Published: (1990)
Entire functions of order zero with zeros
on a logarithmic spiral
by: Zabolotskyi, M. V., et al.
Published: (2018)
by: Zabolotskyi, M. V., et al.
Published: (2018)
Generalization of the Kneser theorem on zeros of solutions of the equation $y" + p (t) y = 0$
by: Slyusarchuk, V. Yu., et al.
Published: (2007)
by: Slyusarchuk, V. Yu., et al.
Published: (2007)
Local time at zero for arratia flow
by: Chernega, P. P., et al.
Published: (2012)
by: Chernega, P. P., et al.
Published: (2012)
Stable solutions of a system of two connected Chua cells
by: Nizhnik, I. L., et al.
Published: (1998)
by: Nizhnik, I. L., et al.
Published: (1998)
Entire functions of order zero with zeros on a logarithmic spiral
by: M. V. Zabolotskyi, et al.
Published: (2018)
by: M. V. Zabolotskyi, et al.
Published: (2018)
Approximation method in problems of potential theory
by: Sinaiskii, E. S., et al.
Published: (2000)
by: Sinaiskii, E. S., et al.
Published: (2000)
Generalized moment representations, biorthogonal polynomials, and Padé approximants
by: Holub, A. P., et al.
Published: (1994)
by: Holub, A. P., et al.
Published: (1994)
Generalized moment representations and invariance properties of Padé approximants
by: Holub, A. P., et al.
Published: (1996)
by: Holub, A. P., et al.
Published: (1996)
The temperature coefficient of the potential of zero charge of Ag single crystal face electrodes in aqueous electrolyte solution
by: Doubova, L.M., et al.
Published: (2001)
by: Doubova, L.M., et al.
Published: (2001)
Sufficient conditions for the existence of the -density for zeros of entire function of order zero
by: M. V. Zabolotskyi, et al.
Published: (2016)
by: M. V. Zabolotskyi, et al.
Published: (2016)
Distributions of zeros and poles of N-point Padé approximants to complex-symmetric functions defined at complex points
by: R. Jedynak, et al.
Published: (2021)
by: R. Jedynak, et al.
Published: (2021)
Distributions of zeros and poles of $N$-point Padé approximants to complex-symmetric functions defined at complex points
by: Jedynak, R., et al.
Published: (2021)
by: Jedynak, R., et al.
Published: (2021)
On radical square zero rings
by: C. M. Ringel, et al.
Published: (2012)
by: C. M. Ringel, et al.
Published: (2012)
On radical square zero rings
by: Ringel, C.M., et al.
Published: (2012)
by: Ringel, C.M., et al.
Published: (2012)
Generalized moment representations
and multivariate multipoint Padé-type approximants
by: Holub, A. P., et al.
Published: (2026)
by: Holub, A. P., et al.
Published: (2026)
Type conditions of stable range for identification of qualitative generalized classes of rings
by: Zabavsky, Bohdan Volodymyrovych
Published: (2018)
by: Zabavsky, Bohdan Volodymyrovych
Published: (2018)
Type conditions of stable range for identification of qualitative generalized classes of rings
by: Zabavsky, B.V.
Published: (2018)
by: Zabavsky, B.V.
Published: (2018)
Similar Items
-
Approximation of general zero-range potentials
by: Albeverio, S., et al.
Published: (2000) -
Integrable Structure of Multispecies Zero Range Process
by: Kuniba, A., et al.
Published: (2017) -
Zero Range Process and Multi-Dimensional Random Walks
by: Bogoliubov, N.M., et al.
Published: (2017) -
Singularly perturbed self-adjoint operators in scales of Hilbert spaces
by: Albeverio, S., et al.
Published: (2007) -
On the choice of zero approximation in case of revealing the complicated contact
by: Ju. I. Dubovenko, et al.
Published: (2013)