
arXiv: 1302.2701
AbstractComplex extension of quantum mechanics and the discovery of pseudo‐unitarily invariant random matrix theory has set the stage for a number of applications of these concepts in physics. We briefly review the basic ideas and present applications to problems in statistical mechanics where new results have become possible. We have found it important to mention the precise directions where advances could be made if further results become available.
Quantum Physics, Sums of independent random variables; random walks, Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics, Random matrices (algebraic aspects), pseudo-hermiticity, FOS: Physical sciences, random matrices, Nonselfadjoint operator theory in quantum theory including creation and destruction operators, random walk, Random matrices (probabilistic aspects), cyclic matrices, Quantum Physics (quant-ph)
Quantum Physics, Sums of independent random variables; random walks, Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics, Random matrices (algebraic aspects), pseudo-hermiticity, FOS: Physical sciences, random matrices, Nonselfadjoint operator theory in quantum theory including creation and destruction operators, random walk, Random matrices (probabilistic aspects), cyclic matrices, Quantum Physics (quant-ph)
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