Representation theory of $\mathfrak{sl}(2,\mathbb{R})\simeq \mathfrak{su}(1,1)$ and a generalization of non-commutative harmonic oscillators
Fuente:
arXiv
Saved in:
| Main Author: | Nakahama, Ryosuke |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Equivalence between non-commutative harmonic oscillators and two-photon quantum Rabi models
by: Nakahama, Ryosuke
Published: (2024)
by: Nakahama, Ryosuke
Published: (2024)
Eigenvalue bounds for Schrödinger operators on quantum graphs with $δ$-coupling conditions
by: Cao, Duc Hoang
Published: (2025)
by: Cao, Duc Hoang
Published: (2025)
Cauchy Data for 1D singular Schrödinger operators
by: Hillairet, Luc, et al.
Published: (2025)
by: Hillairet, Luc, et al.
Published: (2025)
Synthesis of a quantum tree Weyl matrix
by: Avdonin, Sergei A., et al.
Published: (2023)
by: Avdonin, Sergei A., et al.
Published: (2023)
The fractal uncertainty principle via Dolgopyat's method in higher dimensions
by: Backus, Aidan, et al.
Published: (2023)
by: Backus, Aidan, et al.
Published: (2023)
Pointwise character bounds for $\mathrm{SU}(3)$
by: Zhang, Yunfeng
Published: (2026)
by: Zhang, Yunfeng
Published: (2026)
A new approach to inverse Sturm-Liouville problems based on point interaction
by: Zhao, Min, et al.
Published: (2024)
by: Zhao, Min, et al.
Published: (2024)
Towards a theory of eigenvalue asymptotics on infinite metric graphs: the case of diagonal combs
by: Kennedy, James B., et al.
Published: (2024)
by: Kennedy, James B., et al.
Published: (2024)
Two Regularized Determinants of Laplacian through Resurgence theory
by: Shen, Wen, et al.
Published: (2026)
by: Shen, Wen, et al.
Published: (2026)
Special values of spectral zeta functions of one-, two-photon quantum Rabi models and non-commutative harmonic oscillators
by: Nakahama, Ryosuke
Published: (2026)
by: Nakahama, Ryosuke
Published: (2026)
Optimizing the Fundamental Eigenvalue Gap of Quantum Graphs
by: Ahrami, Mohammed, et al.
Published: (2024)
by: Ahrami, Mohammed, et al.
Published: (2024)
Exactly solvable Schrödinger operators related to the hypergeometric equation
by: Dereziński, Jan, et al.
Published: (2025)
by: Dereziński, Jan, et al.
Published: (2025)
Explicit construction of matrix-valued orthogonal polynomials of arbitrary size
by: Parisi, Ignacio Bono
Published: (2025)
by: Parisi, Ignacio Bono
Published: (2025)
Differential symmetry breaking operators for the pair $(\operatorname{GL}_{n+1}(\mathbb{R}),\operatorname{GL}_n(\mathbb{R}))$
by: Ditlevsen, Jonathan, et al.
Published: (2025)
by: Ditlevsen, Jonathan, et al.
Published: (2025)
On The Spectrum Of Infinite Quantum Graphs
by: Düfel, Marco, et al.
Published: (2022)
by: Düfel, Marco, et al.
Published: (2022)
Weak $L^2$ bound of the lacunary Carleson operator for the non-linear Fourier transform
by: Mnatsakanyan, Gevorg
Published: (2022)
by: Mnatsakanyan, Gevorg
Published: (2022)
Index theory for non-compact quantum graphs
by: Garrisi, Daniele, et al.
Published: (2025)
by: Garrisi, Daniele, et al.
Published: (2025)
Faber-Krahn inequality for the heat content on quantum graphs via random walk expansion
by: Bifulco, Patrizio, et al.
Published: (2025)
by: Bifulco, Patrizio, et al.
Published: (2025)
Bounds on eigenvalue ratios of quantum graphs
by: Harrell II, Evans M., et al.
Published: (2026)
by: Harrell II, Evans M., et al.
Published: (2026)
Single-Point Higher-Order Szegő Sum Rules in OPUC: Necessity for $m=1,2,3$
by: Piao, Daxiong
Published: (2026)
by: Piao, Daxiong
Published: (2026)
On the classification of hypergeometric families of orthogonal polynomials on the real line
by: Bernstein, Joseph, et al.
Published: (2024)
by: Bernstein, Joseph, et al.
Published: (2024)
Accessory Parameter of Confluent Heun Equations, Voros Periods and classical irregular conformal blocks
by: Iwaki, Kohei, et al.
Published: (2026)
by: Iwaki, Kohei, et al.
Published: (2026)
GBDT, multiplicative integrals and linear similarity
by: Sakhnovich, Alexander
Published: (2025)
by: Sakhnovich, Alexander
Published: (2025)
The relativistic rotated harmonic oscillator
by: Balmaseda, A., et al.
Published: (2024)
by: Balmaseda, A., et al.
Published: (2024)
Prüfer Transformation and Spectral Analysis for a Sturm--Liouville-Type Equation
by: Bandyopadhyay, Shalmali, et al.
Published: (2025)
by: Bandyopadhyay, Shalmali, et al.
Published: (2025)
On classification of singular matrix difference equations of mixed order
by: Zhu, Li, et al.
Published: (2022)
by: Zhu, Li, et al.
Published: (2022)
On a class of canonical systems corresponding to matrix string equations: general-type and explicit fundamental solutions and Weyl--Titchmarsh theory
by: Sakhnovich, Alexander
Published: (2020)
by: Sakhnovich, Alexander
Published: (2020)
Asymptotics of the spectral data of perturbed Stark operators in the half-line with mixed boundary conditions
by: Toloza, Julio H., et al.
Published: (2025)
by: Toloza, Julio H., et al.
Published: (2025)
Little $q$-Jacobi polynomials and symmetry breaking operators for $U_q(sl_2)$
by: Labriet, Quentin, et al.
Published: (2025)
by: Labriet, Quentin, et al.
Published: (2025)
Explicit Formulas for the One-Parameter Group Generated by the Dunkl Operator on $\mathbb{R}$
by: Aoyama, Temma
Published: (2026)
by: Aoyama, Temma
Published: (2026)
Inverse spectral problem for differential pencils with a frozen argument
by: Hu, Yi-teng, et al.
Published: (2023)
by: Hu, Yi-teng, et al.
Published: (2023)
Nikishin systems on the unit circle
by: Kozhan, Rostyslav
Published: (2024)
by: Kozhan, Rostyslav
Published: (2024)
Inverse problem for semi-infinite Jacobi matrices and associated Hilbert spaces of analytic functions
by: Mikhaylov, Alexander, et al.
Published: (2025)
by: Mikhaylov, Alexander, et al.
Published: (2025)
On an application of the Boundary control method to classical moment problems
by: Mikhaylov, Alexander, et al.
Published: (2025)
by: Mikhaylov, Alexander, et al.
Published: (2025)
Upper bounds on eigenvalue spacing for decaying potentials
by: Lukic, Milivoje, et al.
Published: (2026)
by: Lukic, Milivoje, et al.
Published: (2026)
Automorphisms of the DAHA of type $\check{C_1}C_1$ and non-symmetric Askey-Wilson functions
by: Koornwinder, Tom H., et al.
Published: (2024)
by: Koornwinder, Tom H., et al.
Published: (2024)
Schrödinger equation with finitely many $δ$-interactions: closed form, integral and series representations for solutions
by: Kravchenko, Vladislav V., et al.
Published: (2023)
by: Kravchenko, Vladislav V., et al.
Published: (2023)
Calogero-Sutherland hyperbolic system and Heckman-Opdam $\mathfrak{gl}_n$ hypergeometric function
by: Belousov, N., et al.
Published: (2025)
by: Belousov, N., et al.
Published: (2025)
Deformation of moduli spaces of meromorphic $G$-connections on $\mathbb{P}^{1}$ via unfolding of irregular singularities
by: Hiroe, Kazuki
Published: (2024)
by: Hiroe, Kazuki
Published: (2024)
Virtual levels, virtual states, and the limiting absorption principle for higher order differential operators in 1D
by: Comech, Andrew, et al.
Published: (2024)
by: Comech, Andrew, et al.
Published: (2024)
Similar Items
-
Equivalence between non-commutative harmonic oscillators and two-photon quantum Rabi models
by: Nakahama, Ryosuke
Published: (2024) -
Eigenvalue bounds for Schrödinger operators on quantum graphs with $δ$-coupling conditions
by: Cao, Duc Hoang
Published: (2025) -
Cauchy Data for 1D singular Schrödinger operators
by: Hillairet, Luc, et al.
Published: (2025) -
Synthesis of a quantum tree Weyl matrix
by: Avdonin, Sergei A., et al.
Published: (2023) -
The fractal uncertainty principle via Dolgopyat's method in higher dimensions
by: Backus, Aidan, et al.
Published: (2023)