Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Role of Rotational Invariance in the Properties of Hamiltonians   Is it possible to prove that the properties of Hamiltonians, such as the
ground state energy, results of dynamical evolution, or thermal state
expectation values, can be efficiently calculated when the Hamiltonians have
physically motivated constraints such as translational or rotational
invariance? We report that rotational invariance does not reduce the difficulty
of finding the ground state energy of the system. Crucially, the construction
it preserves the translational invariance of a Hamiltonian. The failure of the
construction for the properties of thermal states at finite temperatures is
discussed.

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The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph