Book contents
- Frontmatter
- Contents
- Preface
- Excess Baggage
- Through the Clouds
- Covariant Formulations of the Superparticle and the Superstring
- Chiral Symmetry and Confinement
- The Original Fifth Interaction
- The Mass Hierarchy of Leptons and Quarks as a New Symmetry
- Spacetime Duality in String Theory
- Supersymmetry and Quasi-Supersymmetry
- The Exceptional Superspace and the Quadratic Jordan Formulation of Quantum Mechanics
- Algebra of Reparametrization-Invariant and Normal Ordered Operators in Open String Field Theory
- Superconductivity of an Ideal Charged Boson System
- Some Remarks on the Symmetry Approach to Nuclear Rotational Motion
- Uncomputability, Intractability and the Efficiency of Heat Engines
- The New Mathematical Physics
- “Is Quantum Mechanics for the Birds?”
- The Gell-Mann Age of Particle Physics
- Remarks on the occasion of Murray Gell-Mann's more or less 60th Birthday
Superconductivity of an Ideal Charged Boson System
Published online by Cambridge University Press: 11 November 2009
- Frontmatter
- Contents
- Preface
- Excess Baggage
- Through the Clouds
- Covariant Formulations of the Superparticle and the Superstring
- Chiral Symmetry and Confinement
- The Original Fifth Interaction
- The Mass Hierarchy of Leptons and Quarks as a New Symmetry
- Spacetime Duality in String Theory
- Supersymmetry and Quasi-Supersymmetry
- The Exceptional Superspace and the Quadratic Jordan Formulation of Quantum Mechanics
- Algebra of Reparametrization-Invariant and Normal Ordered Operators in Open String Field Theory
- Superconductivity of an Ideal Charged Boson System
- Some Remarks on the Symmetry Approach to Nuclear Rotational Motion
- Uncomputability, Intractability and the Efficiency of Heat Engines
- The New Mathematical Physics
- “Is Quantum Mechanics for the Birds?”
- The Gell-Mann Age of Particle Physics
- Remarks on the occasion of Murray Gell-Mann's more or less 60th Birthday
Summary
ABSTRACT
Recently Friedberg, Lee and Ren have pointed out that at low density the ideal charged boson system turns out not to be a superconductor, but becomes a type II superconductor at high density. This conclusion differs from the well-known Schafroth solution of superconductivity at any density for the same problem. Schafroth's analysis is found to contain a mistake due to the neglect of the electrostatic exchange energy Eex. Based on the Schafroth solution, Eex is shown to be +∞ in the normal phase, but 0 in the condensed phase (at T = 0). Of course, the correct solution has to give a finite Eex.
This research was supported in part by the U.S. Department of Energy.
SCHAFROTH'S SOLUTION
Schafroth's superconductivity solution of an ideal charged boson system published 35 years ago has always been considered to be the definitive work, comparable in depth to the analysis made by Landau on the diamagnetism of an ideal charged fermion system. However, recently it was found that the Schafroth solution contains a serious mistake due to the neglect of the electrostatic exchange energy Eex. It turns out that based on the Schafroth solution, Eex is +∞ in the normal phase, but 0 in the condensed phase (at T = 0). Of course, the correct solution has to give a finite Eex.
For ideal charged particles, bosons or fermions, there is only the electromagnetic interaction.
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- Elementary Particles and the UniverseEssays in Honor of Murray Gell-Mann, pp. 135 - 156Publisher: Cambridge University PressPrint publication year: 1991
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