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This has led to a proliferation of alternative ways to convert an atomic structure into an input for a machine-learning model. We introduce an abstract definition of chemical environments that is based on a smoothed atomic density, using a bra-ket notation ...
2019
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The connection between derivative operators and wavelets is well known. Here we generalize the concept by constructing multiresolution approximations and wavelet basis functions that act like Fourier multiplier operators. This construction follows from a s ...
The free quantum states of topologically massive electrodynamics and gravity in 2+1 dimensions are found explicitly. It is shown that in both theories the states are described by infrared-regular polarization tensors containing a regularization phase which ...
1996
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Motivated by some inconsistencies in the way quantum fluctuations are included beyond the classical treatment of hard-core bosons on a lattice in the recent literature, we revisit the large-S semiclassical approach to hard-core bosons on the square lattice ...
2012
,
The second- and third-order coherence functions g((n))(0) (n= 2 and 3) of an exciton-polariton condensate are measured and compared to the theory. Contrary to an ideal photon laser, deviation from unity in the second- and third-order coherence functions is ...
Non topological solitons, Q balls can arise in many particle theories with U(1) global symmetries. As was shown by Cohen et al. [2], if the corresponding scalar field couples to massless fermions, large Q-balls are unstable and evaporate, producing a fermi ...
The connection between derivative operators and wavelets is well known. Here we generalize the concept by constructing multiresolution approximations and wavelet basis functions that act like Fourier multiplier operators. This construction follows from a s ...
Springer US2013
We present experimental studies of the magnetization of electrons in semiconductorquantum dots. Starting from a modulation-doped AlGaAs/GaAs heterostructure an array of dots was patterned by laser-interference lithography and deep mesa etching. The quantum ...
