On the essential spectrum of certain non-commutative oscillators
From MaRDI portal
Publication:5412814
DOI10.1063/1.4850876zbMath1285.81024OpenAlexW2048822392MaRDI QIDQ5412814
Alberto Parmeggiani, Alberto Venni
Publication date: 28 April 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4850876
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Noncommutative probability and statistics (46L53)
Related Items
Simplicity of the lowest eigenvalue of non-commutative harmonic oscillators and the Riemann scheme of a certain Heun's differential equation ⋮ Covering families of the asymmetric quantum Rabi model: \(\eta\)-shifted non-commutative harmonic oscillators ⋮ Non-commutative harmonic oscillators and related problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Simplicity of the lowest eigenvalue of non-commutative harmonic oscillators and the Riemann scheme of a certain Heun's differential equation
- Non-commutative harmonic oscillators and the connection problem for the Heun differential equation
- Spectral theory of non-commutative harmonic oscillators: an introduction
- Symplectic classification of quadratic forms, and general Mehler formulas
- Introduction to spectral theory. With applications to Schrödinger operators
- Schrödinger operators with rapidly oscillating potentials
- On the spectrum of certain noncommutative harmonic oscillators
- On the spectrum of certain non-commutative harmonic oscillators and semiclassical analysis
- Zeta functions for the spectrum of the non-commutative harmonic oscillators
- Oscillator representations and systems of ordinary differential equations
- MULTIPLICITY OF THE LOWEST EIGENVALUE OF NON-COMMUTATIVE HARMONIC OSCILLATORS
- SPECIAL VALUES OF THE SPECTRAL ZETA FUNCTION OF THE NON-COMMUTATIVE HARMONIC OSCILLATOR AND CONFLUENT HEUN EQUATIONS
- Non-commutative harmonic oscillators-II
- The Dicke-type crossings among eigenvalues of differential operators in a class of non-commutative oscillators
- ON THE SPECTRUM AND THE LOWEST EIGENVALUE OF CERTAIN NON-COMMUTATIVE HARMONIC OSCILLATORS
- VERIFIED NUMERICAL COMPUTATIONS FOR EIGENVALUES OF NON-COMMUTATIVE HARMONIC OSCILLATORS
- Non-commutative harmonic oscillators and Fuchsian ordinary differential operators
