The Higgs sector of the next-to-minimal supersymmetric standard model

DJ Miller, R Nevzorov, PM Zerwas - Nuclear Physics B, 2004 - Elsevier
The Higgs boson spectrum of the next-to-minimal supersymmetric standard model is
examined. The model includes a singlet Higgs field S in addition to the two Higgs doublets …

Supersymmetric approach to quantum systems with position-dependent effective mass

AR Plastino, A Rigo, M Casas, F Garcias, A Plastino - Physical Review A, 1999 - APS
We consider the application of the supersymmetric quantum-mechanical formalism to the
Schrödinger equation describing a particle characterized by a position-dependent effective …

Quantum Calogero-Moser models: Integrability for all root systems

SP Khastgir, AJ Pocklington… - Journal of Physics A …, 2000 - iopscience.iop.org
The issues related to the integrability of quantum Calogero-Moser models based on any root
systems are addressed. For the models with degenerate potentials, ie the rational …

Supersymmetric many-particle quantum systems with inverse-square interactions

PK Ghosh - Journal of Physics A: Mathematical and Theoretical, 2012 - iopscience.iop.org
The development in the study of supersymmetric many-particle quantum systems with
inverse-square interactions is reviewed. The main emphasis is on quantum systems with …

Calogero-Moser models. V: Supersymmetry and quantum lax pair

AJ Bordner, NS Manton, R Sasaki - Progress of Theoretical …, 2000 - academic.oup.com
It is shown that the Calogero-Moser models based on all root systems of the finite reflection
groups (both the crystallographic and non-crystallographic cases) with the rational …

A class of N-body problems with nearest-and next-to-nearest-neighbour interactions

G Auberson, SR Jain, A Khare - Journal of Physics A …, 2001 - iopscience.iop.org
We obtain the exact ground state and part of the excitation spectrum in one dimension on a
line and the exact ground state on a circle in the case where the N particles are interacting …

A generalized Jaynes-Cummings Hamiltonian and supersymmetric shape invariance

ANF Aleixo, AB Balantekin… - Journal of Physics A …, 2000 - iopscience.iop.org
A generalized Jaynes-Cummings Hamiltonian and supersymmetric shape invariance Page 1
Journal of Physics A: Mathematical and General A generalized Jaynes-Cummings Hamiltonian …

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 …

Calogero-like model without rearrangement symmetry

M Znojil - Symmetry, 2023 - mdpi.com
Reinterpretation of mathematics behind the exactly solvable Calogero's A-particle quantum
model is used to propose its generalization. Firstly, it is argued that the strongly singular …

Quantization and conformal properties of a generalized Calogero model

S Meljanac, A Samsarov, B Basu-Mallick… - The European Physical …, 2007 - Springer
We analyze a generalization of the quantum Calogero model with the underlying conformal
symmetry, paying special attention to the two-body model deformation. Owing to the …