Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Revista Mexicana de Física E

Comment on ``The one-dimensional harmonic oscillator damped with Caldirola--Kanai Hamiltonian''

G. F. Torres del Castillo

Published Jul 1, 2019• 2 citations
Publisher

Abstract

Several conceptual errors in a recently published paper ({\it Rev.\ Mex.\ F'{\i}s.\ E} {\bf 64} (2018) 47) dealing with the damped one-dimensional harmonic oscillator are pointed out.
DOI
10.31349/revmexfise.65.103

Related papers

Coherent states for the damped harmonic oscillator

Kyu Hwang Yeon, Chung‐In Um, Thomas F. George

Using the Caldirola-Kanai Hamiltonian for the damped harmonic oscillator, exact coherent states are constructed. These new coherent states satisfy the properties which coherent states should generally have.

Physical Review A•Dec 1, 1987•81 citations

Dynamics of SU(1,1) coherent states for the damped harmonic oscillator

Jeong Ryeol Choi, Kyu Hwang Yeon

Gerry, Ma, and Vrscay [Phys. Rev. A 39, 668 (1989)] studied the time evolution of SU(1,1) coherent states for the damped harmonic oscillator by introducing the Kanai-Caldirola Hamiltonian. The purposes of this Brief Report are to demonstrate that there are somewhat serious errors on their results and to correct them. Most of the figures given in their work are reproduced with correction in order to facilitate our explanation of results.

Physical Review A•May 29, 2009•5 citations

The Caldirola-Kanai Model and Its Equivalent Theories for a Damped Oscillator

Ming-Chang Huang, Ming‐Chya Wu

Chinese Journal of Physics•Aug 1, 1998•10 citations

Classical representation of a quantum damped oscillator—Comparison between the caldirola-kanai model, the kinetic equation, and the kostin equation

Vladimir I. Man’ko, Sergey S. Safonov

Journal of Russian Laser Research•Mar 1, 1999•5 citations

Comment on "Quantization of the damped harmonic oscillator" [Serhan et al, J. Math. Phys. 59, 082105 (2018)]

Zafar Ahmed, Sachin Kumar, A. Baishya

A recent paper [J. Math. Phys. {\bf 59}, 082105 (2018)] constructs a Hamiltonian for the (dissipative) damped harmonic oscillator. We point out that non-Hermiticity of this Hamiltonian has been ignored to find real discrete eigenvalues which are actually non-real. We emphasize that non-Hermiticity in Hamiltonian is crucial and it is a quantal signature of dissipation.

arXiv:1902.04895•Feb 13, 2019•0 citations

Quantum Damped Mechanical Oscillator

A. N. Ikot, Louis E. Akpabio, Ita O. Akpan +2 more

The exact solutions of the Schrödinger equation for quantum damped oscillator with modified Caldirola-Kanai Hamiltonian are evaluated. We also investigate the cases of under-, over-, and critical damping.

International Journal of Optics•Jan 1, 2010•6 citations