메뉴 건너뛰기




Volumn , Issue , 2006, Pages 113-129

The energy of charged matter*

(1)  Solovej, Jan Philip a  

a NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84967551308     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812704016_0010     Document Type: Chapter
Times cited : (3)

References (37)
  • 1
    • 84972538055 scopus 로고
    • Inequalities for potentials of particle systems
    • J. R. Baxter, "Inequalities for potentials of particle systems", Illinois J. Math. 24, 645-652 (1980).
    • (1980) Illinois J. Math , vol.24 , pp. 645-652
    • Baxter, J.R.1
  • 2
    • 84967390926 scopus 로고
    • English translation: USSR Izv. 6 (1972)
    • F. A. Berezin, Izv. Akad. Nauk, ser. mat., 36 (1972). English translation: USSR Izv. 6 (1972).
    • (1972) Izv. Akad. Nauk, ser. mat , pp. 36
    • Berezin, F.A.1
  • 3
    • 5344280691 scopus 로고
    • General concept of quantization
    • F. A. Berezin, "General concept of quantization", Comm. Math. Phys. 40, 153-174 (1975).
    • (1975) Comm. Math. Phys , vol.40 , pp. 153-174
    • Berezin, F.A.1
  • 4
    • 36749118278 scopus 로고
    • A note on energy bounds for boson matter
    • David Brydges, Paul Federbush, "A note on energy bounds for boson matter", Jour. Math. Phys. 17, 2133-2134 (1976).
    • (1976) Jour. Math. Phys , vol.17 , pp. 2133-2134
    • Brydges, D.1    Federbush, P.2
  • 5
    • 0000854273 scopus 로고    scopus 로고
    • Stability of quantum electrodynamics with nonrelativistic matter
    • Luca Bugliaro, Jiirg Fröhlich, Gian Michele Graf, "Stability of quantum electrodynamics with nonrelativistic matter", Phys. Rev. Lett. 77, 3494-3497 (1996).
    • (1996) Phys. Rev. Lett , vol.77 , pp. 3494-3497
    • Bugliaro, L.1    Fröhlich, J.2    Graf, G.M.3
  • 7
    • 0001180878 scopus 로고
    • The ground state energy of a classical gas
    • Joseph G. Conlon, "The ground state energy of a classical gas", Comm. Math. Phys. 94, 439458 (1984).
    • (1984) Comm. Math. Phys , vol.94 , pp. 439458
    • Conlon, J.G.1
  • 9
    • 0003794206 scopus 로고
    • Schrödinger operators with application to quantum mechanics and global geometry
    • Springer Verlag, Berlin
    • H. L. Cycon, R. G. Froese, W. Kirsch, B. Simon, "Schrödinger operators with application to quantum mechanics and global geometry", in Texts and Monographs in Physics, Springer Verlag, Berlin, 1987.
    • (1987) Texts and Monographs in Physics
    • Cycon, H.L.1    Froese, R.G.2    Kirsch, W.3    Simon, B.4
  • 10
    • 0001564054 scopus 로고
    • An uncertainty principle for fermions with generalized kinetic energy
    • Ingrid Daubechies, "An uncertainty principle for fermions with generalized kinetic energy", Comm. Math. Phys. 90, 511-520 (1983).
    • (1983) Comm. Math. Phys , vol.90 , pp. 511-520
    • Daubechies, I.1
  • 11
    • 0000984614 scopus 로고
    • One-electron relativistic molecules with Coulomb interaction
    • Ingrid Daubechies, Elliott H. Lieb, "One-electron relativistic molecules with Coulomb interaction", Comm. Math. Phys. 90, 497-510 (1983).
    • (1983) Comm. Math. Phys , vol.90 , pp. 497-510
    • Daubechies, I.1    Lieb, E.H.2
  • 12
    • 0000516272 scopus 로고
    • Ground state energy of a finite system of charged particles
    • Freeman J. Dyson, "Ground state energy of a finite system of charged particles", Jour. Math. Phys. 8, 1538-1545 (1967).
    • (1967) Jour. Math. Phys , vol.8 , pp. 1538-1545
    • Dyson, F.J.1
  • 13
    • 6144292509 scopus 로고
    • Stability of matter. I
    • Freeman J. Dyson, Andrew Lenard, "Stability of matter. I", Jour. Math. Phys. 8, 423-434 (1967).
    • (1967) Jour. Math. Phys , vol.8 , pp. 423-434
    • Dyson, F.J.1    Lenard, A.2
  • 14
    • 28844500288 scopus 로고
    • Stability of matter. II
    • Freeman J. Dyson, Andrew Lenard, "Stability of matter. II", Jour. Math. Phys. 9, 698-711 (1968).
    • (1968) Jour. Math. Phys , vol.9 , pp. 698-711
    • Dyson, F.J.1    Lenard, A.2
  • 15
    • 0002069687 scopus 로고
    • A new approach to the stability of matter problem. I, II
    • Paul Federbush, "A new approach to the stability of matter problem. I, II" Jour. Math. Phys. 16, 347-351 (1975).
    • (1975) Jour. Math. Phys , vol.16 , pp. 347-351
    • Federbush, P.1
  • 16
    • 84967411335 scopus 로고    scopus 로고
    • Stability of matter with magnetic fields
    • Charles L. Fefferman, "Stability of matter with magnetic fields", CRM Proc. Lecture Notes 12, 119-133 (1997).
    • (1997) CRM Proc. Lecture Notes , vol.12 , pp. 119-133
    • Fefferman, C.L.1
  • 17
    • 0009148222 scopus 로고    scopus 로고
    • Stability of ultraviolet-cutoff quantum electrodynamics with non-relativistic matter
    • Charles Fefferman, Jiirg Fröhlich, Gian Michele Graf, "Stability of ultraviolet-cutoff quantum electrodynamics with non-relativistic matter", Comm. Math. Phys. 190, 309-330 (1997).
    • (1997) Comm. Math. Phys , vol.190 , pp. 309-330
    • Fefferman, C.1    Fröhlich, J.2    Graf, G.M.3
  • 19
    • 36849104743 scopus 로고
    • The stability of many-particle systems
    • Michael Fisher, David Ruelle, "The stability of many-particle systems", Jour. Math. Phys. 7, 260-270 (1966).
    • (1966) Jour. Math. Phys , vol.7 , pp. 260-270
    • Fisher, M.1    Ruelle, D.2
  • 20
    • 0000064731 scopus 로고
    • Charged boson gas
    • Leslie L. Foldy, "Charged boson gas", Phys. Rev. 124, 649-651 (1961).
    • (1961) Phys. Rev , vol.124 , pp. 649-651
    • Foldy, L.L.1
  • 21
    • 0001118971 scopus 로고
    • Stability of Coulomb systems with magnetic fields. I. The one-electron atom
    • Jürg Fröhlich, Elliott H. Lieb, Michael Loss, "Stability of Coulomb systems with magnetic fields. I. The one-electron atom", Comm. Math. Phys. 104, 251-270 (1986).
    • (1986) Comm. Math. Phys , vol.104 , pp. 251-270
    • Fröhlich, J.1    Lieb, E.H.2    Loss, M.3
  • 22
    • 21844491345 scopus 로고
    • On the molecular limit of Coulomb gases
    • Gian Michele Graf, Daniel Schenker, "On the molecular limit of Coulomb gases", Comm. Math. Phys. 174, 215-227 (1995).
    • (1995) Comm. Math. Phys , vol.174 , pp. 215-227
    • Graf, G.M.1    Schenker, D.2
  • 24
    • 0000566451 scopus 로고
    • The classical limit of quantum spin systems
    • Elliott H. Lieb, "The classical limit of quantum spin systems", Comm. Math. Phys. 31, 327-340 (1973).
    • (1973) Comm. Math. Phys , vol.31 , pp. 327-340
    • Lieb, E.H.1
  • 25
    • 0001226530 scopus 로고
    • Stability of Coulomb systems with magnetic fields. II. The many-electron atom and the one-electron molecule
    • Elliott H. Lieb, Michael Loss, "Stability of Coulomb systems with magnetic fields. II. The many-electron atom and the one-electron molecule", Comm. Math. Phys. 104, 271-282 (1986).
    • (1986) Comm. Math. Phys , vol.104 , pp. 271-282
    • Lieb, E.H.1    Loss, M.2
  • 26
    • 0036022799 scopus 로고    scopus 로고
    • Stability of a model of relativistic quantum electrodynamics
    • Elliott H. Lieb, Michael Loss, "Stability of a model of relativistic quantum electrodynamics", Comm. Math. Phys. 228, 561-588 (2002).
    • (2002) Comm. Math. Phys , vol.228 , pp. 561-588
    • Lieb, E.H.1    Loss, M.2
  • 27
    • 0000358746 scopus 로고
    • Stability of matter in magnetic fields
    • Elliott H. Lieb, Michael Loss, Jan Philip Solovej, "Stability of matter in magnetic fields", Phys. Rev. Lett. 75, 985-989 (1995).
    • (1995) Phys. Rev. Lett , vol.75 , pp. 985-989
    • Lieb, E.H.1    Loss, M.2    Solovej, J.P.3
  • 28
    • 0039975360 scopus 로고    scopus 로고
    • Stability and instability of relativistic electrons in classical electromagnetic fields
    • Elliott H. Lieb, Heinz Siedentop, Jan Philip Solovej, "Stability and instability of relativistic electrons in classical electromagnetic fields", Jour. Stat. Phys. 89, 37-59 (1997).
    • (1997) Jour. Stat. Phys , vol.89 , pp. 37-59
    • Lieb, E.H.1    Siedentop, H.2    Solovej, J.P.3
  • 29
    • 33846040104 scopus 로고
    • The Thomas-Fermi theory of atoms, molecules and solids
    • Elliott H. Lieb, Barry Simon, "The Thomas-Fermi theory of atoms, molecules and solids", Adv. in Math. 23, 22-116 (1977).
    • (1977) Adv. in Math , vol.23 , pp. 22-116
    • Lieb, E.H.1    Simon, B.2
  • 30
    • 0035529349 scopus 로고    scopus 로고
    • Ground state energy of the one-component charged Bose gas
    • Elliott H. Lieb, Jan Philip Solovej, "Ground state energy of the one-component charged Bose gas", Comm. Math. Phys. 217, 127-163 (2001).
    • (2001) Comm. Math. Phys , vol.217 , pp. 127-163
    • Lieb, E.H.1    Solovej, J.P.2
  • 32
    • 0001325128 scopus 로고
    • Bound for the kinetic energy of fermions which proves the stability of matter
    • Elliott H. Lieb, Walter E. Thirring, "Bound for the kinetic energy of fermions which proves the stability of matter", Phys. Rev. Lett. 35, 687-689 (1975).
    • (1975) Phys. Rev. Lett , vol.35 , pp. 687-689
    • Lieb, E.H.1    Thirring, W.E.2
  • 33
    • 0002667676 scopus 로고
    • The stability and instability of relativistic matter
    • Elliott H. Lieb, Horng-Tzer Yau, "The stability and instability of relativistic matter" Comm. Math. Phys. 118, 177-213 (1988).
    • (1988) Comm. Math. Phys , vol.118 , pp. 177-213
    • Lieb, E.H.1    Yau, H.-T.2
  • 34
    • 0001226529 scopus 로고
    • Stability of Coulomb systems with magnetic fields. III. Zero energy bound states of the Pauli operator
    • Michael Loss, Horng-Tzer Yau, "Stability of Coulomb systems with magnetic fields. III. Zero energy bound states of the Pauli operator", Comm. Math. Phys. 104, 283-290 (1986).
    • (1986) Comm. Math. Phys , vol.104 , pp. 283-290
    • Loss, M.1    Yau, H.-T.2
  • 35
    • 84967463207 scopus 로고    scopus 로고
    • preparation
    • Jan Philip Solovej, in preparation.
    • Solovej, J.P.1
  • 36
    • 0002348222 scopus 로고
    • Electrostatic interaction of molecules
    • Lars Onsager, "Electrostatic interaction of molecules", Jour. Phys. Chem. 43, 189-196 (1939).
    • (1939) Jour. Phys. Chem , vol.43 , pp. 189-196
    • Onsager, L.1
  • 37
    • 0040568178 scopus 로고
    • Spectral analysis of pseudodifferential operators
    • R. A. Weder, "Spectral analysis of pseudodifferential operators", J. Functional Analysis 20, 319-337 (1975).
    • (1975) J. Functional Analysis , vol.20 , pp. 319-337
    • Weder, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.