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In this work, the difficulties inherent to perturbative calculations in the velocity gauge are addressed.
Formalisms of band theory
EI Blount · 1962
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Contribution to the theory of nonlinear effects in crystals with account taken of partially filled bands
VN Genkin and PM Mednis · 1968
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The principles of nonlinear optics
Yuen-Ron Shen · 1984
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Quantal phase factors accompanying adiabatic changes
Michael V Berry · 1984
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Nonlinear optical response of semiconductors in the independent-particle approximation
JE Sipe and Ed Ghahramani · 1993
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Third-order optical nonlinearities in semiconductors: The two-band model
Claudio Aversa, JE Sipe, M Sheik-Bahae, and EW Van Stryland · 1994
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Nonlinear optical susceptibilities of semiconductors: Results with a length-gauge analysis
Claudio Aversa and JE Sipe · 1995
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Calculation of second-order optical response in semiconductors
James LP Hughes and JE Sipe · 1996
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Second-order optical response in semiconductors
JE Sipe and AI Shkrebtii · 2000
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Equivalence of interaction hamiltonians in the electric dipole approximation
K Rzazewski and Robert W Boyd · 2004
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Scissors implementation within length-gauge formulations of the frequency-dependent nonlinear optical response of semiconductors
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NMR Peres, Yu V Bludov, Jaime E Santos, Antti-Pekka Jauho, and MI Vasilevskiy · 2014
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F Hipolito, Thomas G Pedersen, and Vitor M Pereira · 2016
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Sergey A Mikhailov · 2016
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