## 2 Citations

### Interference of Non-Hermiticity with Hermiticity at Exceptional Points

- PhysicsMathematics
- 2022

The recent growth in popularity of the non-Hermitian quantum Hamiltonians H(λ) with real spectra is strongly motivated by the phenomenologically innovative possibility of an access to the…

### Displaced Harmonic Oscillator V ∼ min [(x + d)2, (x − d)2] as a Benchmark Double-Well Quantum Model

- PhysicsQuantum Reports
- 2022

For the displaced harmonic double-well oscillator, the existence of exact polynomial bound states at certain displacements d is revealed. The N-plets of these quasi-exactly solvable (QES) states are…

## References

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- PhysicsRoman Jackiw
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Quantum systems with multiple degenerate classical harmonic minima exhibit new non-perturbative phenomena which are not present for the double-well and periodic potentials. The simplest…

### Multiply Degenerate Exceptional Points and Quantum Phase Transitions

- Physics
- 2015

The realization of a genuine phase transition in quantum mechanics requires that at least one of the Kato’s exceptional-point parameters becomes real. A new family of finite-dimensional and…

### CHARACTERIZATION OF ELEMENTARY CHEMICAL PROCESSES BY CATASTROPHE THEORY

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The topological analysis of the electron localization function (ELF) provides a convenient theoretical framework to characterize chemical bonds. This method does not rely on the particular…

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- Mathematics
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We discuss the leading asymptotics of eigenvalue splittings of - 2 + X2V in the limit as X -- o, and where V is a non-negative potential with several zeros. For example, if EO(X), E1(X) are the two…

### Mathematical and physical meaning of the crossings of energy levels in PT −symmetric systems

- Physics
- 2018

Unavoided crossings of the energy levels due to a variation of a real parameter are studied. It is found that after the quantum system in question passes through one of its energy-crossing points…

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- Mathematics
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- EconomicsIEEE Transactions on Systems, Man, and Cybernetics
- 1979

bocker News-Union Star, Feb. 15, 1971. [51] C. Daniel and F. S. Woods, Fitting Equations to Data. New York: Wiley, 1971, p. 32. [52] Conversations with George Barkley, Brunswick Town Supervisor…