Shape invariant potentials in supersymmetric quantum cosmology
In this brief review, we comment on the concept of shape invariant potentials, which is an
essential feature in many settings of N= 2 supersymmetric quantum mechanics. To motivate …
essential feature in many settings of N= 2 supersymmetric quantum mechanics. To motivate …
[BOOK][B] Thermal aspects of field theories
AA Araújo Filho - 2022 - books.google.com
This book focus on examining the thermodynamic properties of various prominent field
theories concerning high-energy and condensed matter physics. We make the usage of the …
theories concerning high-energy and condensed matter physics. We make the usage of the …
Quantum gases on a torus
This manuscript is aimed at studying the thermodynamic properties of quantum gases
confined to a torus. To do that, we consider\textit {noninteracting} gases within the grand …
confined to a torus. To do that, we consider\textit {noninteracting} gases within the grand …
Exactness of semiclassical quantization rule for broken supersymmetry
A Gangopadhyaya, J Bougie… - Journal of Physics A …, 2021 - iopscience.iop.org
Semiclassical methods provide important tools for approximating solutions in quantum
mechanics. In several cases these supposedly approximate solutions are intriguingly exact …
mechanics. In several cases these supposedly approximate solutions are intriguingly exact …
Quantum gases on a torus
This paper is aimed at studying the thermodynamic properties of quantum gases confined to
a torus. To do that, we consider noninteracting gases within the grand canonical ensemble …
a torus. To do that, we consider noninteracting gases within the grand canonical ensemble …
SWKB quantization condition for conditionally exactly solvable systems and the residual corrections
Y Nasuda, N Sawado - Nuclear Physics B, 2023 - Elsevier
The SWKB quantization condition is an exact quantization condition for the conventional
shape-invariant potentials. On the other hand, this condition equation does not hold for other …
shape-invariant potentials. On the other hand, this condition equation does not hold for other …
Recent Advances in Semiclassical Methods Inspired by Supersymmetric Quantum Mechanics
Semiclassical methods are essential in analyzing quantum mechanical systems. Although
they generally produce approximate results, relatively rare potentials exist for which these …
they generally produce approximate results, relatively rare potentials exist for which these …
Study on a Quantization Condition and the Solvability of Schr\"{o} dinger-type Equations
Y Nasuda - arxiv preprint arxiv:2403.20217, 2024 - arxiv.org
In this thesis, we study a quantization condition in relation to the solvability of Schr\"{o}
dinger equations. This quantization condition is called the SWKB (supersymmetric Wentzel …
dinger equations. This quantization condition is called the SWKB (supersymmetric Wentzel …
[HTML][HTML] Generalized Langer correction and the exactness of WKB for all conventional potentials
In this paper we investigate the exactness of the WKB quantization condition for
translationally shape invariant systems. In particular, using the formalism of supersymmetric …
translationally shape invariant systems. In particular, using the formalism of supersymmetric …
Quantum Hamilton–Jacobi quantization and shape invariance
Abstract Quantum Hamilton–Jacobi (QHJ) quantization scheme uses the singularity
structure of the potential of a quantum mechanical system to generate its eigenspectrum and …
structure of the potential of a quantum mechanical system to generate its eigenspectrum and …