1D RELATIVISTIC CONFINED COULOMB PROBLEM FOR DIRAC EQUATION (Z < 137)
Аннотация
Consider first the case of quantum particle confined in a impenetrable relativistic box of size . Such system can be described by stationary one dimensional Dirac equation which is given by (natural units, )
Библиографические ссылки
Valeri N. Kotov, Bruno Uchoa, Vitor M. Pereira, F. Guinea, and A. H. Castro Neto, Rev. Mod.Phys. 84, 1067, (2012).
V. M. Pereira, J. Nilsson, and A. H. Castro Neto,Phys. Rev. Lett. 99, 166802 (2007).
A. V. Shytov, M. I. Katsnelson, and L. S. Levitov,Phys. Rev. Lett.99, 246802 (2007).
O. V. Gamayun, E. V. Gorbar, and V. P. Gusynin,Phys. Rev. B 80, 165429 (2009).
D. Klöpfer, A. De Martino, and R. Egger, Crystals 3, 14 (2013). [6] Y. Wang, V.W. Brar, A. V. Shytov, Q. Wu, W. Regan, H.-Z. Tsai, A. Zettl, L. S. Levitov, and M. F. Crommie,Nat. Phys. 8, 653 (2012).
A. Luican-Mayer, M. Kharitonov, G. Li, C. P. Lu, I. Skachko, A. M. B. Goncalves, K. Watanabe, T. Taniguchi, and E. Y. Andrei,Phys. Rev. Lett. 112, 036804 (2014).
J. Mao, Y. Jiang, D. Moldovan, G. Li, K.Watanabe, T. Taniguchi, M. R. Masir, F. M. Peeters, and E. Y. Andrei, Nat. Phys. 12, 545 (2016).
A. De Martino, D. Kloepfer, D. Matrasulov, R. Egger, Phys. Rev. Lett. 112186603 (2014). [10] W. Greiner, B. Muller and J. Rafelski Quantum Electrodynamics of Strong Fields. (Springer, Berlin, 1985).
V.S. Popov, Phys. Atomic Nuclei 64, 367, (2001).
A. Luican-Mayer, M. Kharitonov, G. Li, C.P. Lu, I. Skachko, A.M.B. Goncalves, K. Watanabe, T. Taniguchi, E.Y. Andrei,Phys. Rev. Lett. 112, 036804, (2014).
Y. Wang, D. Wong, A.V. Shytov, V.W. Brar, S. Choi, Q. Wu, H.-Z. Tsai, W. Regan, A. Zettl, R.K. Kawakami, S.G. Louie, L.S. Levitov, M.F. Crommie, Science 340, 734, (2013).
M. Lewkowicz and B. Rosenstein, Phys. Rev. Lett. 102, 106802, (2007).
Danielle Allor, Thomas D. Cohen, and David A. McGady, Phys. Rev. D. 78,096009,(2008).