-
3
-
-
82855170289
-
Wannier transform for aperiodic tilings
-
(unpublished).
-
Bellissard J. De Nittis G. Milani V. Wannier transform for aperiodic tilings (unpublished).
-
-
-
Bellissard, J.1
De Nittis, G.2
Milani, V.3
-
4
-
-
0002886433
-
Gap labelling theorems for Schrödinger operators
-
J.M.Luck, P.Moussa, M.Waldschmidt In, edited by and (Springer-Verlag, Berlin)
-
Bellissard J. Gap labelling theorems for Schrödinger operators. From Number Theory to Physics 1993, 538-630. J.M.Luck, P.Moussa, M.Waldschmidt In edited by and (Springer-Verlag, Berlin)
-
(1993)
From Number Theory to Physics
, pp. 538-630
-
-
Bellissard, J.1
-
5
-
-
33846500082
-
Exponential localization of Wannier functions in insulators
-
10.1103/PhysRevLett.98.046402
-
Brouder C. Panati G. Calandra M. Mourougane C. Marzari N. Exponential localization of Wannier functions in insulators. Phys. Rev. Lett. 2007, 98(4):046402. 10.1103/PhysRevLett.98.046402
-
(2007)
Phys. Rev. Lett.
, vol.98
, Issue.4
, pp. 046402
-
-
Brouder, C.1
Panati, G.2
Calandra, M.3
Mourougane, C.4
Marzari, N.5
-
7
-
-
0001916219
-
On the spectrum of gauge-periodic elliptic operators
-
Brüning J. Sunada T. On the spectrum of gauge-periodic elliptic operators. Astérisque 1992, 210:65-74
-
(1992)
Astérisque
, vol.210
, pp. 65-74
-
-
Brüning, J.1
Sunada, T.2
-
8
-
-
84972500756
-
On the spectrum of periodic elliptic operators
-
Brüning J. Sunada T. On the spectrum of periodic elliptic operators. Nagoya Math. J. 1992, 126:159-171
-
(1992)
Nagoya Math. J.
, vol.126
, pp. 159-171
-
-
Brüning, J.1
Sunada, T.2
-
9
-
-
0000424033
-
Nahm's transformation for instantons
-
10.1007/BF01257416
-
Braam P.J. Van Baal P. Nahm's transformation for instantons. Commun. Math. Phys. 1989, 122(2):267-280. 10.1007/BF01257416
-
(1989)
Commun. Math. Phys.
, vol.122
, Issue.2
, pp. 267-280
-
-
Braam, P.J.1
Van Baal, P.2
-
11
-
-
84861399568
-
-
(European Mathematical Society, Zürich)
-
Dieck T.T. Algebraic Topology 2008, (European Mathematical Society, Zürich)
-
(2008)
Algebraic Topology
-
-
Dieck, T.T.1
-
12
-
-
79955426418
-
Applications of magnetic ψDO techniques to SAPT - beyond a simple review
-
10.1142/S0129055X11004278
-
De Nittis G. Lein M. Applications of magnetic ψDO techniques to SAPT - beyond a simple review. Rev. Math. Phys. 2011, 23:233-260. 10.1142/S0129055X11004278
-
(2011)
Rev. Math. Phys.
, vol.23
, pp. 233-260
-
-
De Nittis, G.1
Lein, M.2
-
13
-
-
82855170284
-
Magnetic symmetries
-
(unpublished).
-
De Nittis G. Lein M. Magnetic symmetries (unpublished).
-
-
-
De Nittis, G.1
Lein, M.2
-
14
-
-
0001225877
-
Ground states of a two-dimensional electron in a periodic magnetic field
-
Dubrovin B.A. Novikov S.P. Ground states of a two-dimensional electron in a periodic magnetic field. Sov. Phys. JETP 1980, 52:511-516
-
(1980)
Sov. Phys. JETP
, vol.52
, pp. 511-516
-
-
Dubrovin, B.A.1
Novikov, S.P.2
-
15
-
-
79955430186
-
Effective models for conductance in magnetic fields: derivation of Harper and Hofstadter models
-
(submitted), arxiv:1007.4786.
-
De Nittis G. Panati G. Effective models for conductance in magnetic fields: derivation of Harper and Hofstadter models. 2010, (submitted), arxiv:1007.4786.
-
(2010)
-
-
De Nittis, G.1
Panati, G.2
-
16
-
-
82855174450
-
Complex vector bundles with trivial Chern classes on k-tori
-
MathOverflow (see)
-
Ekedahl T. Complex vector bundles with trivial Chern classes on k-tori. 2010 MathOverflow (see)
-
(2010)
-
-
Ekedahl, T.1
-
20
-
-
0000638506
-
Analytische Faserungen Über holomorph-vollständigen Räumen
-
10.1007/BF01351803
-
Grauert H. Analytische Faserungen Über holomorph-vollständigen Räumen. Math. Ann. 1958, 135:263-273. 10.1007/BF01351803
-
(1958)
Math. Ann.
, vol.135
, pp. 263-273
-
-
Grauert, H.1
-
21
-
-
0004193355
-
-
(Cambridge University Press, Cambridge, England)
-
Hatcher A. Algebraic Topology 2002, (Cambridge University Press, Cambridge, England)
-
(2002)
Algebraic Topology
-
-
Hatcher, A.1
-
22
-
-
82855174197
-
-
Vector Bundles & K-Theory.
-
Hatcher A. 2009, Vector Bundles & K-Theory.
-
(2009)
-
-
Hatcher, A.1
-
23
-
-
82855170283
-
Bands and gaps for periodic magnetic Hamiltonians
-
Hempel R. Herbst I. Bands and gaps for periodic magnetic Hamiltonians. Preprints ESI 1994, 162:1-11
-
(1994)
Preprints ESI
, vol.162
, pp. 1-11
-
-
Hempel, R.1
Herbst, I.2
-
30
-
-
36149021109
-
Analytic properties of Bloch waves and Wannier functions
-
10.1103/PhysRev.115.809
-
Kohn W. Analytic properties of Bloch waves and Wannier functions. Phys. Rev. 1959, 115:809-821. 10.1103/PhysRev.115.809
-
(1959)
Phys. Rev.
, vol.115
, pp. 809-821
-
-
Kohn, W.1
-
31
-
-
0003204788
-
Floquet theory for partial differential equations
-
in (Birkhäuser, New York)
-
Kuchment P. Floquet theory for partial differential equations. Operator Theory: Advances and Applications 1993 in (Birkhäuser, New York)
-
(1993)
Operator Theory: Advances and Applications
-
-
Kuchment, P.1
-
32
-
-
64549116230
-
Tight frames of exponentially decaying Wannier functions
-
10.1088/1751-8113/42/2/025203
-
Kuchment P. Tight frames of exponentially decaying Wannier functions. J. Phys. A: Math. Theor. 2009, 42:025203. 10.1088/1751-8113/42/2/025203
-
(2009)
J. Phys. A: Math. Theor.
, vol.42
, pp. 025203
-
-
Kuchment, P.1
-
33
-
-
82855174451
-
-
M. S. thesis, Technische Universitüt München, Munich, Germany.
-
Lein M. 2005, M. S. thesis, Technische Universitüt München, Munich, Germany.
-
(2005)
-
-
Lein, M.1
-
35
-
-
12144266394
-
Vector Bundles and their Applications
-
(Kluwer Academic Publishers, Dordrecht)
-
Luke G. Mishchenko A.S. Vector Bundles and their Applications. Mathematics and Its Applications 1998, in (Kluwer Academic Publishers, Dordrecht)
-
(1998)
Mathematics and Its Applications
-
-
Luke, G.1
Mishchenko, A.S.2
-
39
-
-
4243690324
-
Maximally localized generalized Wannier functions for composite energy bands
-
10.1103/PhysRevB.56.12847
-
Marzari N. Vanderbilt D. Maximally localized generalized Wannier functions for composite energy bands. Phys. Rev. B 1997, 56:12847-12865. 10.1103/PhysRevB.56.12847
-
(1997)
Phys. Rev. B
, vol.56
, pp. 12847-12865
-
-
Marzari, N.1
Vanderbilt, D.2
-
40
-
-
0013032214
-
Gauge potentials and bundles over the 4-torus
-
10.1007/BF01213211
-
Nash C. Gauge potentials and bundles over the 4-torus. Commun. Math. Phys. 1983, 88:319-325. 10.1007/BF01213211
-
(1983)
Commun. Math. Phys.
, vol.88
, pp. 319-325
-
-
Nash, C.1
-
41
-
-
0002438025
-
Existence of the exponentially localised Wannier functions
-
10.1007/BF01206052
-
Nenciu G. Existence of the exponentially localised Wannier functions. Commun. Math. Phys. 1983, 91:81-85. 10.1007/BF01206052
-
(1983)
Commun. Math. Phys.
, vol.91
, pp. 81-85
-
-
Nenciu, G.1
-
42
-
-
12044249741
-
Dynamics of band electrons in electric and magnetic fields: Rigorous justification of the effective Hamiltonians
-
10.1103/RevModPhys.63.91
-
Nenciu G. Dynamics of band electrons in electric and magnetic fields: Rigorous justification of the effective Hamiltonians. Rev. Mod. Phys. 1991, 63(1):91-127. 10.1103/RevModPhys.63.91
-
(1991)
Rev. Mod. Phys.
, vol.63
, Issue.1
, pp. 91-127
-
-
Nenciu, G.1
-
43
-
-
0001505369
-
Magnetic Bloch functions and vector bundles. Typical dispersion laws and their quantum numbers
-
Novikov S.P. Magnetic Bloch functions and vector bundles. Typical dispersion laws and their quantum numbers. Sov. Math. Dokl. 1981, 23:298-303.
-
(1981)
Sov. Math. Dokl.
, vol.23
, pp. 298-303
-
-
Novikov, S.P.1
-
44
-
-
34748863542
-
Triviality of Bloch and BlochâDirac bundles
-
10.1007/s00023-007-0326-8
-
Panati G. Triviality of Bloch and BlochâDirac bundles. Ann. Henri Poincare 2007, 8:995-1011. 10.1007/s00023-007-0326-8
-
(2007)
Ann. Henri Poincare
, vol.8
, pp. 995-1011
-
-
Panati, G.1
-
45
-
-
0001197282
-
Some remarks on Chern classes
-
10.2307/1970191
-
Peterson F.P. Some remarks on Chern classes. Ann. Math. 1959, 69(2):414-420. 10.2307/1970191
-
(1959)
Ann. Math.
, vol.69
, Issue.2
, pp. 414-420
-
-
Peterson, F.P.1
-
46
-
-
79952028277
-
Disordered topological insulators: a non-commutative geometry perspective
-
Prodan E. Disordered topological insulators: a non-commutative geometry perspective. J. Phys. A: Math. Theor. 2011, 44:113001.
-
(2011)
J. Phys. A: Math. Theor.
, vol.44
, pp. 113001
-
-
Prodan, E.1
-
47
-
-
0344982977
-
Effective dynamics for Bloch electrons: Peierls substitution
-
10.1007/s00220-003-0950-1
-
Panati G. Spohn H. Teufel S. Effective dynamics for Bloch electrons: Peierls substitution. Commun. Math. Phys. 2003, 242:547-578. 10.1007/s00220-003-0950-1
-
(2003)
Commun. Math. Phys.
, vol.242
, pp. 547-578
-
-
Panati, G.1
Spohn, H.2
Teufel, S.3
-
48
-
-
58849088108
-
Geometric currents in Piezoelectricity
-
10.1007/s00205-008-0111-y
-
Panati G. Sparber C. Teufel S. Geometric currents in Piezoelectricity. Arch. Ration. Mech. Anal. 2009, 191:387-422. 10.1007/s00205-008-0111-y
-
(2009)
Arch. Ration. Mech. Anal.
, vol.191
, pp. 387-422
-
-
Panati, G.1
Sparber, C.2
Teufel, S.3
-
51
-
-
34250093202
-
On a generalised fourier transform of instantons over flat tori
-
10.1007/BF01225253
-
Schenk H. On a generalised fourier transform of instantons over flat tori. Commun. Math. Phys. 1988, 116(2):177-183. 10.1007/BF01225253
-
(1988)
Commun. Math. Phys.
, vol.116
, Issue.2
, pp. 177-183
-
-
Schenk, H.1
-
52
-
-
0001345770
-
Holonomy, the quantum adiabatic theorem, and Berry's phase
-
10.1103/PhysRevLett.51.2167
-
Simon B. Holonomy, the quantum adiabatic theorem, and Berry's phase. Phys. Rev. Lett. 1983, 51:2167-2170. 10.1103/PhysRevLett.51.2167
-
(1983)
Phys. Rev. Lett.
, vol.51
, pp. 2167-2170
-
-
Simon, B.1
-
53
-
-
77950788431
-
Absolute continuity of the spectrum of periodic operators of mathematical physics
-
Suslina T. Absolute continuity of the spectrum of periodic operators of mathematical physics. Journées Équations aux dérivées partielles 2000, XVIII:1-13.
-
(2000)
Journées Équations aux dérivées partielles
, vol.18
, pp. 1-13
-
-
Suslina, T.1
-
54
-
-
0000915510
-
Wannier functions for magnetic sub-bands
-
10.1088/0022-3719/17/12/003
-
Thouless D.J. Wannier functions for magnetic sub-bands. J. Phys. C 1984, 17:L325-L327. 10.1088/0022-3719/17/12/003
-
(1984)
J. Phys. C
, vol.17
-
-
Thouless, D.J.1
-
55
-
-
36149009855
-
The structure of electronic excitation levels in insulating crystals
-
10.1103/PhysRev.52.191
-
Wannier G.H. The structure of electronic excitation levels in insulating crystals. Phys. Rev. 1937, 52:191-197. 10.1103/PhysRev.52.191
-
(1937)
Phys. Rev.
, vol.52
, pp. 191-197
-
-
Wannier, G.H.1
-
56
-
-
82855170280
-
-
Wannier Developers' Group, wannier.org.
-
2011, Wannier Developers' Group, wannier.org.
-
(2011)
-
-
-
57
-
-
51249187120
-
Theory of Bloch waves
-
10.1007/BF02790171
-
Wilcox C. Theory of Bloch waves. J. Anal. Math. 1978, 33(1):146-167. 10.1007/BF02790171
-
(1978)
J. Anal. Math.
, vol.33
, Issue.1
, pp. 146-167
-
-
Wilcox, C.1
-
58
-
-
36149008019
-
Magnetic translation group
-
10.1103/PhysRev.134.A1602
-
Zak J. Magnetic translation group. Phys. Rev. 1964, 134(6A):A1602-A1606. 10.1103/PhysRev.134.A1602
-
(1964)
Phys. Rev.
, vol.134
, Issue.6 A
-
-
Zak, J.1
|