Quick search Find article
Quick search
Find article

One-dimensional oscillator in a box

Paolo Amore1 and Francisco M Fernández2,3

Show affiliations


We discuss a quantum-mechanical model of two particles that interact by means of a harmonic potential and are confined to a one-dimensional box with impenetrable walls. We apply perturbation theory to the cases of different and equal masses and analyse the symmetry of the states in the latter case. We compare the approximate perturbation results with accurate numerical ones.


PACS

01.50.-i Educational aids

02.10.Ud Linear algebra

03.65.Ge Solutions of wave equations: bound states

03.65.Fd Algebraic methods

Subjects

Mathematical physics

Education and communication

Quantum information and quantum mechanics

Dates

Issue 1 (January 2010)

Received 10 July 2009

Published 4 November 2009



  1. One-dimensional oscillator in a box

    Paolo Amore and Francisco M Fernández 2010 Eur. J. Phys. 31 69

  2. Anisotropic inflation and the origin of four large dimensions

    C Armendáriz-Picón and Vikram Duvvuri 2004 Class. Quantum Grav. 21 2011

  3. Coincidence analysis in gravitational wave experiments

    Pia Astone et al 2002 Class. Quantum Grav. 19 1443

  4. Intense-field many-body S-matrix theory

    A Becker and F H M Faisal 2005 J. Phys. B: At. Mol. Opt. Phys. 38 R1

  5. Nitrogen-implanted Ge2Sb2Te5 film used as multilevel storage media for phase change random access memory

    Bo Liu et al 2004 Semicond. Sci. Technol. 19 L61

  6. Kaon production at subthreshold and threshold energies

    Jörg Aichelin and Christoph Hartnack 2001 J. Phys. G: Nucl. Part. Phys. 27 571

  7. Electrostatic biasing of the ALT-II pump limiter

    R.P. Doerner et al 1994 Nucl. Fusion 34 975

  8. Outreach: Polish physics club reaches out with practical demonstrations Networking: Online workspace helps teachers to share ideas Mauritius: Telescope inspires science specification Fusion: EFDA sparks resources Olympiad: British team enjoys success at the International Physics Olympiad 2009 Nanoscience: 'Quietest' building in the world opens in Bristol, UK Conference: University of Leicester hosts the GIREP EPEC 2009 international conference

    2009 Phys. Educ. 44 561

  9. Ionization of sodium and potassium vapour by 20-100 keV H+ and He+ ions

    B G O'Hare et al 1975 J. Phys. B: At. Mol. Phys. 8 2968

  10. First Principles Calculation of Universal Conductance Fluctuation in Monatomic Metal Chains

    Chen Jing-Zhe et al 2008 Chinese Phys. Lett. 25 1060

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.