Semilinear Schrödinger evolution equations with inverse-square and harmonic potentials via pseudo-conformal symmetry

DOI10.3934/CPAA.2021163zbMath1479.35825OpenAlexW3203941139MaRDI QIDQ2062577

Toshiyuki Suzuki

Publication date: 27 December 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021163

zbMATH Keywords

semilinear Schrödinger equationsinverse-square potentialspseudo-conformal transformharmonic oscillationMehler type formulas

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (1)

Semilinear Schrödinger equations with a critical scale of the singular electromagnetic field

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