Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: ${\tilde{J}}$-pseudospin states and the crystal field of cubic systems   Theory of $\tilde{J}$-pseudospin for $f$ element in cubic environment is
developed. By fulfilling the symmetry requirements and the adiabatic connection
to atomic limit, the crystal-field states are uniquely transformed into
$\tilde{J}$-pseudospin states. In terms of the pseudospin operators, both the
total angular momentum and the crystal-field Hamiltonian contain higher-rank
tensor terms than the traditional ones do, which means the present framework
naturally include the effects such as the covalency and $J$-mixing beyond the
$f$-shell model. Combining the developed theory with {\it ab initio}
calculations, the $\tilde{J}$-pseudospin states for Nd$^{3+}$ and Np$^{4+}$
ions in octahedral sites of insulators are derived.

19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg