Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Evolution of the Time-Dependent Non-Hermitian Hamiltonians: Real
  Phases   Explicitly time-dependent pseudo-Hermitian (TDPH) invariants theory systems,
with a time-dependent (TD) metric, is developed for a time-dependent non
Hermitian (TDNH) quantum systems. We derive a simple relation between the
eigenstates of this pseudo-Hermitien (PH) invariant and the solutions of the
Schrodinger equation. A physical system is treated in detail: the TD Swanson
model, where an explicitly TDPH invariant is derived for this system, the
eigenvalues and eigenstates of the invariant are calculated explicitly.

17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math