Scattering states of the inverted oscillator and its supersymmetric partners
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Publication:6606745
DOI10.1007/978-3-031-30284-8_5MaRDI QIDQ6606745
Publication date: 17 September 2024
quantum mechanicsfactorization methodinverted oscillatorrepulsive oscillatorparabolic potential barrier
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Nonlinear higher-order PDEs (35G20) Supersymmetry and quantum mechanics (81Q60)
Cites Work
- Complex oscillator and Painlevé IV equation
- Dynamical breaking of supersymmetry
- Operator methods of the parabolic potential barrier
- Integral transforms in science and engineering
- Physics of the inverted harmonic oscillator: From the lowest Landau level to event horizons
- Factorization method and new potentials from the inverted oscillator
- Exponential growth of out-of-time-order correlator without chaos: inverted harmonic oscillator
- Factorization method and new potentials with the oscillator spectrum
- Quadratic Hamiltonians in phase-space quantum mechanics
- Factorization: little or great algorithm?
- The Factorization Method
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