• No results found

On the inhomogeneous magnetised electron gas - Bibliography

N/A
N/A
Protected

Academic year: 2021

Share "On the inhomogeneous magnetised electron gas - Bibliography"

Copied!
5
0
0

Bezig met laden.... (Bekijk nu de volledige tekst)

Hele tekst

(1)

UvA-DARE is a service provided by the library of the University of Amsterdam (https://dare.uva.nl)

UvA-DARE (Digital Academic Repository)

On the inhomogeneous magnetised electron gas

Kettenis, M.M.

Publication date

2001

Link to publication

Citation for published version (APA):

Kettenis, M. M. (2001). On the inhomogeneous magnetised electron gas. Ridderprint

offsetdrukkerij b.v.

General rights

It is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons).

Disclaimer/Complaints regulations

If you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: https://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible.

(2)

Bibliography y

[1]] M. Abramowitz and I. A. Stegun (eds.)> Handbook of mathematical functions, fifth ed.,, Dover, New York, 1972.

[2]] A. Alastuey and F. Cornu, fancos disciples in Coulombland. II. Algebraic tails in

three-dimensionalthree-dimensional quantum plasmas, J. Statist. Phys. 89 (1997), 20-35.

[3]] A. Alastuey and Ph. A. Martin, Absence of exponential clusteringfor the static

quan-tumtum correlations and the time-displaced correlations in charged fluids, Europhys.

Lett.. 6 (1988), 385-390.

[4]] A. Alastuey and Ph. A. Martin, Absence of exponential clustering in quantum

CoulombCoulomb fluids, Phys. Rev. A 40 (1989), 6485-6520.

[5]] N. Angelescu and G. Nenciu, On the landau diamagnetism, Comm. Math. Phys. 422 (1975), 9-28.

[6]] J. N. Aqua and F. Cornu, Classical and quantum algebraic screening in a Coulomb

plasmaplasma near a wall: A solvable model, J. Statist. Phys. 97 (1999), 173-207.

[7]] A. Auerbach and S. Kivelson, The path decomposition expansion and

multidimen-sionalsional tunneling, Nuclear Phys, B 257 (1985), 799-858.

[8]] R. Balian and C. Bloch, Distribution of eigenfrequencies for the wave equation in

aa finite doman I. Three-dimensional problem with smooth boundary surface, Ann.

Physicss 60 (1970), 401-447.

[9]] N. Bohr, Master's thesis. Collected Works, vol. I, North-Holland, 1972. [10]] N. Bohr, Ph.D. thesis, Collected Works, vol. I, North-Holland, 1972.

[11]] F. Cornu, Exact algebraic tails of static correlations in quantum plasmas at low

den-sity,sity, Phys. Rev. Lett. 78 (1997), 1464-1467.

[12]] F. Cornu, Exact low-density free energy and algebraic tails of static correlations in

quantumquantum plasmas in a uniform magnetic field, Europhys. Lett. 37 (1997),

591-596. .

[13]] F. Cornu, Quantum plasmas with or without a uniform magnetic field. I. General

formalismformalism and algebraic tails of correlations, Phys. Rev. E 58 (1998), 5268-5292.

(3)

108 8 Bibliography Bibliography

[14]] F. Cornu, Quantum plasmas with or without a uniform magnetic field. field. III. Exact

low-densitylow-density algebraic tails of correlations, Phys. Rev. E 58 (1998), 5322-5346.

[15]] F. Cornu and Ph. A. Martin, Electron gas beyond the random-phase approximation:

AlgebraicAlgebraic screening, Phys. Rev. A 44 (1991), 4893-4910.

[16]] A. Erdéliy, Asymptotic expansions, Dover, New York, 1956.

[17]] A. Erdélyi, Asymptotic expansions offourier integrals involving logarithmic

singular-ities,ities, J. Soc. Indust. Appl. Math. 4 (1956), 38-47.

[18]] A. Erdélyi (ed.), Higher transcendental functions, vol. II, McGraw-Hill, New York, 1953. .

[19]] A. Erdélyi (ed.), Tables of integral transforms, vol. I, McGraw-Hill, New York, 1954. .

[20]] A. Erdélyi (ed.), Tables of integral transforms, vol. II, McGraw-Hill, New York, 1954. .

[21]] L. A. Fal'kovskiT, Density attenuation of surface magnetic states, Soviet Phys. JETP 311 (1970), 981-987.

[22]] J. Ginibre, Some applications of junctional integration in statistical mechanics, Sta-tisticall Mechanics and Quantum Field Theory (C. DeWitt and R. Stora, eds.), Gordonn and Breach Science Publishers, New York, 1971, pp. 327-427.

[23]] I. Gradshteyn and I. M. Ryzhik, Table of integrals, series, and products, fourth ed., Academicc Press, New York, 1980.

[24]] N . J. M. Horing, Quantum theory of electron gas plasma oscillations in a magnetic

field,field, Ann. Physics 31 (1965), 1-63.

[25]] N . J. M. Horing and M. M. Yildiz, Thermodynamic Greens-function theory of

quantumquantum magnetic field effects in the dynamic, nonlocal longitudinal dielectricresponseresponse properties of a bounded solidstate plasma, Phys. Rev. B 33 (1986), 3 8 9 5

-3920. .

[26]] A. Isihara, J. Tsai, and M. Wadati, Magnetic properties of an electron gas, Phys. Rev. AA 3 (1971), 990-1006.

[27]] B. Jancovici, Diamagnetism of an electron gas and surface currents, Physica A 101 (1980),, 324-338.

[28]] B. Jancovici, Surface correlations in a quantum mechanical one-component plasma, J.. Statist. Phys. 39 (1985), 427-441.

[29]] B. Jancovici, J. L. Lebowitz, and Ph. A. Martin, Time-dependent correlations in an

inhomogeneousinhomogeneous one-component plasma, J. Statist. Phys. 41 (1985), 941-974.

[30]] P. John and L. G. Suttorp, Boundary effects in the pressure of a confined magnetized

electronelectron gas, Physica A 2100 (1994), 237-256.

[31]] P. John and L. G. Suttorp, Boundary effects in a magnetized free-electron gas: Green

(4)

Bibliography Bibliography 109 9

[32]] M. M. Kettenis and L. G. Suttorp, Charge and current density profiles of a

degener-ateate magnetized free-electron gas near a hard wall, J. Phys. A: Math. Gen. 31 (1998),

6547-6560. .

[33]] M. M. Kettenis and L. G. Suttorp, Path-decomposition expansion and edge effects in

aa confined magnetized freeelectron gas, J. Phys. A: Math. Gen. 32 (1999), 8 2 0 9

-8223. .

[34]] M. M. Kettenis and L. G. Suttorp, Correlations in a confined magnetized

free-electronelectron gas, J. Phys. A: Math. Gen. 3 4 (2001), 7991-8013.

[35]] H. Kunz, Surface orbital magnetism, J. Statist. Phys. 76 (1994), 183-207. [36]] L. Landau, Diamagnetismus der Metalk, Z. Phys. 64 (1930), 629-637.

[37]] H. J. van Leeuwen, Vraagstukken uit de electronentheorie van het magnetisme, Ph.D. thesis,, Rijks-Universiteit te Leiden, 1919.

[38]] H . J. van Leeuwen, Problèmes de la theorie électronique du magnetisme, J. de Physiquee 2 (1921), 361-377.

[39]] A. H. MacDonald and P. Streda, Quantized hall effect and edge currents, Phys. Rev. BB 29 (1984), 1616-1619.

[40]] N . Macris, Ph. A. Martin, and J. Pulé, Diamagnetic currents, Coram, Math. Phys.

117(1988),, 215-241.

[41]] W. Magnus, F. Oberhettinger, and R. P. Soni, Formulas and theorems for the special

functionsfunctions of mathematical physics, third ed., Springer Verlag, Berlin, 1966.

[42]] K. Ohtaka and T. Moriya, Role of field-induced-surface current in the Landau

dia-magnetism,magnetism, J. Phys. Soc. Japan 34 (1973), 1203-1216.

[43]] R. Peierls, Zur Theorie des Diamagnetismus von Leitungselektronen. II Starke

Mag-netfelder,netfelder, Z. Phys. 80 (1933), 763-791.

[44]] M. Robnik, Perimeter corrections to the Landau diamagnetism, J. Phys. A: Math. Gen.. 19 (1986), 3619-3630.

[45]] G. Roepstorff, Path integral approach to quantum physics, Springer Verlag, Berlin, 1994. .

[46]] F. Shishido, Concept of uniform convergence for Landau diamagnetism, Phys. Lett. AA 152 (1991), 437-442.

[47]] B. Simon, Functional integration and quantum physics, Pure and Applied Mathe-matics,, Academic Press, New York, 1979.

[48]] E. H. Sondheimer and A. H. Wilson, The diamagnetism of free electrons, Proc. Roy.. Soc. London Ser. A 210 (1951), 173-190.

[49]] J. J. Thomson, Indications relatives a la constitution de la matière fournies par

lesles recherches sur Ie passage de l'électricité a travers les gaz, Rapports Présentés au

Congress International de Physique, Réuni a Paris en 1900 (Paris) (Ch.-Éd. Guil-laumee and L. Poincaré, eds.), vol. III, Gauthier-Villars, 1900, pp. 138-151.

(5)

1100 Bibliography [50]] R. Wong, Asymptotic approximations of integrals, Computer Science and Scientific

Referenties

GERELATEERDE DOCUMENTEN

For this particular case, Fullerene Science and Technology publishes an important share of documents related to fullerenes but looses importance in the distribution of

The critical transitions in terms of the distributions of cited references can be expected to indicate path-dependent transitions where an intermediate document holds

In this dissertation I used title words and cited references to test the hypothesis of self-organization in the intellectual dimension as organizing discursive knowledge and

Problems of citation analysis: A critical review, Journal of the American Society for Information Science, 40(5), 342–349.. The nature of

Het gebruik van publicaties om de kloof tussen de twee contexten te overbruggen, verwijst weer naar de gezamenlijk evoluerende sociale, intellectuele en tekstuele dimensies die

Het is overigens niet alleen een registratie van, maar ook een verweer tegen het nazi- taalgebruik, waarvan Klemperer tot zijn verbijstering moet vaststellen dat het..

Op basis van hoogtegroei, vorm en slaging van plantsoen van grove den, els, zoete kers, es, beuk en zomereik die op biologische en reguliere wijze zijn geteeld kan op een leeftijd

Om te controleren of de participanten de manipulatie van transparantie hadden begrepen zoals deze bedoeld was, is de volgende vraag gesteld: “In de blog heerste er transparantie