Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Understanding the second quantization of fermions in Clifford and in
  Grassmann space -- New way of second quantization of fermions, Part II   We present in Part II the description of the internal degrees of freedom of
fermions by the superposition of odd products of the Clifford algebra elements,
either $\gamma^a$'s or $\tilde{\gamma}^a$'s, which determine with their oddness
the anticommuting properties of the creation and annihilation operators of the
second quantized fermion fields in even $d$-dimensional space-time, as we do in
Part I of this paper by the Grassmann algebra elements $\theta^a$'s and
$\frac{\partial}{\partial \theta_a}$'s. We discuss: {\bf i.} The properties of
the two kinds of the odd Clifford algebras, forming two independent spaces,
both expressible with the Grassmann algebra of $\theta^{a}$'s and
$\frac{\partial}{\partial \theta_{a}}$'s. {\bf ii.} The freezing out procedure
of one of the two kinds of the odd Clifford objects, enabling that the
remaining Clifford objects determine with their oddness in the tensor products
of the finite number of the Clifford basis vectors and the infinite number of
momentum basis, the creation and annihilation operators carrying the family
quantum numbers and fulfilling the anticommutation relations of the second
quantized fermions: on the vacuum state, and on the whole Hilbert space defined
by the sum of infinite number of "Slater determinants" of empty and occupied
single fermion states. {\bf iii.} The relation between the second quantized
fermions as postulated by Dirac and the ones following from our Clifford
algebra creation and annihilation operators, what offers the explanation for
the Dirac postulates.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
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The categories of this paper are: eess
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom