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NTIS 바로가기Foundations of physics, v.48 no.4, 2018년, pp.395 - 410
Montambaux, Gilles
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Wiener Ber. II J Stefan 79 391 1879 Stefan, J.: Über die beziehung zwischen der wärmestrahlung und der temperatur. Wiener Ber. II 79, 391 (1879)
Ann. der Phys. und Chemie. L Boltzmann 22 291 1884 10.1002/andp.18842580616 Boltzmann, L.: Ableitung des Stefan’schen Gesetzes, betreffend die Abhängigkeit der Wärmestrahlung von der Temperatur aus der electromagnetischen Lichttheorie. Ann. der Phys. und Chemie. 22, 291 (1884)
Ann. d. Phys. M Planck 4 553 1901 10.1002/andp.19013090310 Planck, M.: Über das gesetz der energieverteilung im normalspectrum. Ann. d. Phys. 4, 553 (1901)
Also known as the Stefan-Boltzmann law is the expression for the emitted power per unit area $${\cal P}(T)= {c \over 4} u(T) \equiv \sigma T^4$$ P ( T ) = c 4 u ( T ) ≡ σ T 4 where $$\sigma $$ σ is named the Stefan-Boltzmann constant
Maxwell, JC.: A Treatise on Electricity and Magnetism. Oxford (1873)
Planck, M.: Über irreversible strahlungsvorgänge, Sitz. der Preußischen Akademie der Wissenschaften, Berlin, 5, 440 (1899)
Phys. Scr. T H Paul 165 014027 2015 10.1088/0031-8949/2015/T165/014027 Paul, H., Greenberger, D.M., Stenholm, S.T., Schleich, W.P.: Phys. Scr. T 165, 014027 (2015)
10.1007/BF00670992 Such a generalization has also been discussed by J.A.S. de Lima and J. Santos, Int. J. Theor. Phys. 34, 127 (1995) in the context of general relativity
In quantum theory, these functions are known to be $$F(\alpha )= g_{{1+ \kappa }}(e^\alpha )=\text{Li}_{1+ \kappa }(e^\alpha ) $$ F ( α ) = g 1 + κ ( e α ) = Li 1 + κ ( e α ) for Bosons and $$F(\alpha )= f_{{1+ \kappa }}(e^\alpha )=-\text{ Li }_{1+ \kappa }(-e^\alpha ) $$ F ( α ) = f 1 + κ ( e α ) = - Li 1 + κ ( - e α ) for Fermions, where $$\text{ Li }_\nu (z)$$ Li ν ( z ) is the polylogarithm function
Phys. Rev. Lett. V Romero-Rochín 94 130601 2005 10.1103/PhysRevLett.94.130601 Romero-Rochín, V.: Equation of state of an interacting Bose gas confined by a harmonic trap: the role of the harmonic pressure. Phys. Rev. Lett. 94, 130601 (2005)
Rao, S.: Weyl semi-metals: a short review, arXiv:1603.02821
See for example Y. N. Srivastava, A. Widom and J. Swain , Thermodynamic Equations of State for Dirac and Majorana Fermions, arXiv:hep-ph/9709434
New J. Phys. B Wunsch 10 103027 2008 10.1088/1367-2630/10/10/103027 Wunsch, B., Guinea, F., Sols, F.: Dirac-point engineering and topological phase transitions in honeycomb optical lattices. New J. Phys. 10, 103027 (2008)
Eur. Phys. J. B G Montambaux 72 509 2009 10.1140/epjb/e2009-00383-0 Montambaux, G., Piéchon, F., Fuchs, J.-N., Goerbig, M.O.: A universal Hamiltonian for the motion and the merging of Dirac cones in a two-dimensional crystal. Eur. Phys. J. B 72, 509 (2009)
Phys. Rev. Lett. S Banerjee 103 016402 2009 10.1103/PhysRevLett.103.016402 Banerjee, S., Singh, R.R., Pardo, V., Pickett, W.E.: Tight-binding modeling and low-energy behavior of the semi-dirac point. Phys. Rev. Lett. 103, 016402 (2009)
C Pethick 2002 Bose-Einstein Condensation in Dilute Gases Pethick, C., Smith, H.: Bose-Einstein Condensation in Dilute Gases. Cambridge University Press, Cambridge (2002)
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