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Quantum singularities in a solvable toy model
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 ...
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2024 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Quantum square-well with logarithmic central spike
Singular repulsive barrier V (x) = -g ln(vertical bar x vertical bar) inside a square-well is interpreted and studied as a linear analog of the state-dependent. In the linearized case, Rayleigh-Schrodinger perturbation theory is sho...
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Parity-Time Symmetry and the Toy Models of Gain-Loss Dynamics near the Real Kato's Exceptional Points
. In our paper, we pay attention to several exactly tractable toy-model evolutions are interpreted as "instants of a catastrophe", be it classical or quantum. In the classical optical setting the discrete nature of our ...
BE - Teoretická fyzika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Quantum Big Bang without fine-tuning in a toy-model
. In particular,the unitary evolution of our toy-model quantum Universe is shown interruptibleThe question of possible physics before Big Bang (or after Big Crunch) is addressed via a schematic non-covariant simulation of t...
BE - Teoretická fyzika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Interference of Non-Hermiticity with Hermiticity at Exceptional Points
demonstration of a fine-tuned nature of this access. This result is complemented by a toy-model-based analysis of the related details of quantum dynamics in the almost simplifications of our toy models-i....
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Non-Hermitian-Hamiltonian-induced unitarity and optional physical inner products in Hilbert space
solvable toy models.For unitary quantum systems an innovative construction of different evolution patterns sharing the same energy- representing quasi-Hermitian Hamiltonian H not equal H dagger is proposed. The differences...
Applied mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Confluences of exceptional points and a systematic classification of quantum catastrophes
transitions are illustrated via a few elementary toy models.In the problem of classification of the parameter-controlled quantum phase transitions, attention is turned from the conventional manipulations with the energy-le...
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Is PT -symmetric quantum theory false as a fundamental theory?
-symmetric quantum theory as a fundamental theory of nature”. In our present text we explain that their toy-model-based considerations are misleading and that they do)) that the "recent extension of quantum theory...
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2016 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Anomalous mechanisms of the loss of observability in non-Hermitian quantum models
Via several toy-model quantum Hamiltonians H (lambda) of a non-tridiagonal low-dimensional matrix form the existence of unusual observability horizons is revealed. At the corresponding limiting values of parameter lambda = ...
Particles and field physics
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A toy model for star-disc collisions
A toy model for star-disc collisions is examined.
BN - Astronomie a nebeská mechanika, astrofyzika
- 2000 •
- D
Rok uplatnění
D - Stať ve sborníku
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