On the asymptotic nature of solutions of the perturbed harmonic oscillator

Analytical study of the sth-order perturbative corrections to the solution to a one-dimensional harmonic oscillator perturbed by a spatially power-law potential Vper(x) = λxα

Tran Duong Anh-Tai
Duc T. Hoang
Thu D. H. Truong
Chinh Dung Nguyen
Le Ngoc Uyen
Do Hung Dung
Nguyen Duy Vy
Vinh N. T. Pham

August 2021

In this work, we present a rigorous mathematical scheme for the derivation of the sth-order perturba...

Mathematical analysis of coupled chemical oscillators

Leach, J.A

January 1991

SIGLEAvailable from British Library Document Supply Centre- DSC:D170729 / BLDSC - British Library Do...

Strongly Perturbed Harmonic Oscillator

Pantea Peidaee

January 2008

The limits of current micro-scale technology is approaching rapidly. As the technology is going towa...

Non-resonant solutions of the perturbed harmonic oscillator and related differential systems

Cassell, J
City of London Polytechnic (United Kingdom). Dept. of Computing, Management Science, Mathematics and Statistics

January 1989

SIGLEAvailable from British Library Document Supply Centre- DSC:9348.8678(CLP-DCMSMS-WP--89/07) / BL...

Asymptotics for the solution of the Schroedinger equation

Al-Naggar, I.M.A

January 1994

SIGLEAvailable from British Library Document Supply Centre- DSC:DXN002398 / BLDSC - British Library ...

The asymptotic solution of models in theoretical mechanics

Wilmott, P
Oxford Univ. (United Kingdom)

January 1985

SIGLEAvailable from British Library Lending Division - LD:D58137/85 / BLDSC - British Library Docume...

Solutions of the Schroedinger equation for piecewise harmonic potentials: Remarks on the asymptotic behavior of the wave functions

Mazzitelli, Francisco Diego
Mazzitelli, Martin Diego
Soubelet, Pedro Ignacio

October 2017

We discuss the solutions of the Schroedinger equation for piecewise potentials, given by the harmoni...

AALBORG UNIVERSITY

Arne Jensen
Kenji Yajima

January 2009

Spatial growth of fundamental solutions for certain perturbations of the harmonic oscillator b

On the eigenvalues of a perturbed harmonic oscillator

Boutet de Monvel-Berthier, A. (Paris-7 Univ., 75 (France). Lab. de Physique Mathematique et Geometrie)
Bielefeld Univ. (Germany). Forschungszentrum Bielefeld-Bochum-Stochastik (BiBoS)

January 1990

SIGLETIB: RO 5073 (436/90) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Information...

Nonlinear stability and asymptotics of O.D.E. solvers

Iserles, A
Cambridge Univ. (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics

January 1989

SIGLEAvailable from British Library Document Supply Centre- DSC:9106.1605(DAMTP-NA--5/88) / BLDSC - ...

Clustering and chaos in globally coupled oscillators

Banaji, Murad

January 2001

Available from British Library Document Supply Centre- DSC:DXN056320 / BLDSC - British Library Docum...

Semiclassical asymptotics for nonselfadjoint harmonic oscillators

Arnaiz, Victor
Rivière, Gabriel

January 2019

International audienceWe consider nonselfadjoint perturbations of semiclassical harmonic oscillators...

The Harmonic Oscillator\u27s Frobenius Solution

David, Carl W

January 2009

The Frobenius solution to the differential equations associated with the harmonic oscillator (QM) is...

Asymptotic form of the penetration probability of the quantum harmonic oscillator into the classically forbidden region

Atems, D. E

January 1995

The penetration probability of the quantum harmonic oscillator into the classically forbidden region...

The asymptotics of a hypergeometric function

Smith, M
City of London Polytechnic (United Kingdom). Faculty of Computing, Mathematics and Allied Studies

January 1988

SIGLEAvailable from British Library Document Supply Centre- DSC:9348.8682(CLP-FCMAS-WP--88/05) / BLD...

Analytical study of the sth-order perturbative corrections to the solution to a one-dimensional harmonic oscillator perturbed by a spatially power-law potential Vper(x) = λxα

Tran Duong Anh-Tai
Duc T. Hoang
Thu D. H. Truong
Chinh Dung Nguyen
Le Ngoc Uyen
Do Hung Dung
Nguyen Duy Vy
Vinh N. T. Pham

August 2021

In this work, we present a rigorous mathematical scheme for the derivation of the sth-order perturba...

Mathematical analysis of coupled chemical oscillators

Leach, J.A

January 1991

SIGLEAvailable from British Library Document Supply Centre- DSC:D170729 / BLDSC - British Library Do...

Strongly Perturbed Harmonic Oscillator

Pantea Peidaee

January 2008

The limits of current micro-scale technology is approaching rapidly. As the technology is going towa...

Non-resonant solutions of the perturbed harmonic oscillator and related differential systems

Cassell, J
City of London Polytechnic (United Kingdom). Dept. of Computing, Management Science, Mathematics and Statistics

January 1989

SIGLEAvailable from British Library Document Supply Centre- DSC:9348.8678(CLP-DCMSMS-WP--89/07) / BL...

Asymptotics for the solution of the Schroedinger equation

Al-Naggar, I.M.A

January 1994

SIGLEAvailable from British Library Document Supply Centre- DSC:DXN002398 / BLDSC - British Library ...

The asymptotic solution of models in theoretical mechanics

Wilmott, P
Oxford Univ. (United Kingdom)

January 1985

SIGLEAvailable from British Library Lending Division - LD:D58137/85 / BLDSC - British Library Docume...

Solutions of the Schroedinger equation for piecewise harmonic potentials: Remarks on the asymptotic behavior of the wave functions

Mazzitelli, Francisco Diego
Mazzitelli, Martin Diego
Soubelet, Pedro Ignacio

October 2017

We discuss the solutions of the Schroedinger equation for piecewise potentials, given by the harmoni...

AALBORG UNIVERSITY

Arne Jensen
Kenji Yajima

January 2009

Spatial growth of fundamental solutions for certain perturbations of the harmonic oscillator b

On the eigenvalues of a perturbed harmonic oscillator

Boutet de Monvel-Berthier, A. (Paris-7 Univ., 75 (France). Lab. de Physique Mathematique et Geometrie)
Bielefeld Univ. (Germany). Forschungszentrum Bielefeld-Bochum-Stochastik (BiBoS)

January 1990

SIGLETIB: RO 5073 (436/90) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Information...

Nonlinear stability and asymptotics of O.D.E. solvers

Iserles, A
Cambridge Univ. (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics

January 1989

SIGLEAvailable from British Library Document Supply Centre- DSC:9106.1605(DAMTP-NA--5/88) / BLDSC - ...

Clustering and chaos in globally coupled oscillators

Banaji, Murad

January 2001

Available from British Library Document Supply Centre- DSC:DXN056320 / BLDSC - British Library Docum...

Semiclassical asymptotics for nonselfadjoint harmonic oscillators

Arnaiz, Victor
Rivière, Gabriel

January 2019

International audienceWe consider nonselfadjoint perturbations of semiclassical harmonic oscillators...

The Harmonic Oscillator\u27s Frobenius Solution

David, Carl W

January 2009

The Frobenius solution to the differential equations associated with the harmonic oscillator (QM) is...

Asymptotic form of the penetration probability of the quantum harmonic oscillator into the classically forbidden region

Atems, D. E

January 1995

The penetration probability of the quantum harmonic oscillator into the classically forbidden region...

The asymptotics of a hypergeometric function

Smith, M
City of London Polytechnic (United Kingdom). Faculty of Computing, Mathematics and Allied Studies

January 1988

SIGLEAvailable from British Library Document Supply Centre- DSC:9348.8682(CLP-FCMAS-WP--88/05) / BLD...

Analytical study of the sth-order perturbative corrections to the solution to a one-dimensional harmonic oscillator perturbed by a spatially power-law potential Vper(x) = λxα

Tran Duong Anh-Tai
Duc T. Hoang
Thu D. H. Truong
Chinh Dung Nguyen
Le Ngoc Uyen
Do Hung Dung
Nguyen Duy Vy
Vinh N. T. Pham

August 2021

In this work, we present a rigorous mathematical scheme for the derivation of the sth-order perturba...

Mathematical analysis of coupled chemical oscillators

Leach, J.A

January 1991

SIGLEAvailable from British Library Document Supply Centre- DSC:D170729 / BLDSC - British Library Do...

Strongly Perturbed Harmonic Oscillator

Pantea Peidaee

January 2008

The limits of current micro-scale technology is approaching rapidly. As the technology is going towa...

On the asymptotic nature of solutions of the perturbed harmonic oscillator

Abstract

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On the asymptotic nature of solutions of the perturbed harmonic oscillator

Abstract

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