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Quantum singularities in a solvable toy model

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arxiv 2407.14672 v1 pith:3GPN43DV submitted 2024-07-19 quant-ph gr-qc

Miloslav Znojil This is my paper · ORCID
classification quant-phgr-qc
keywords singularitiesquantumbangcalledclassicalcosmologydegeneraciesdemonstrated
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Via elementary examples it is demonstrated that the singularities of classical physics (sampled by the Big Bang in cosmology) need not necessarily get smeared out after quantization. It is proposed that the role of quantum singularities can be played by the so called Kato's exceptional-point spectral degeneracies.

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  1. Resonances and continued-fraction Green's functions in non-Hermitian Bose-Hubbard-like quantum models

    quant-ph 2025-05 conditional novelty 5.0 of 10

    For doubly-infinite tridiagonal non-Hermitian Hamiltonians, the singular values can be expressed as poles of a Green's function built from two matrix continued fractions.

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