Superspace Lagrangian Model of Supersymmetric Quantum Mechanics in Three-Dimensional Space (General)
スポンサーリンク
概要
- 論文の詳細を見る
By employing the superspace formalism, we construct a model of supersymmetric quantum mechanics in the three-dimensional space. Our model can be viewed-in the context of nonrelativistic quantum mechanics-as describing the motion of a spinning particle in central and one-body tensor potentials, both of which are determined by a single superpotential. As an example, we examine the simplest model obtained by taking the harmonic superpotential. It is shown that the supersymmetry is an exact symmetry of this model and that the model possesses the supergroup SU(3/3) as its maximal symmetry group. More general case of the polynomial superpotential is discussed. It is proved that the supersymmetry cannot be spontaneously broken for any polynomial superpotential in our three-dimensional supersymmetric quantum mechanical system.
- 理論物理学刊行会の論文
- 1985-05-25
著者
-
Ui Haruo
Department Of Physics Hiroshima University
-
Takeda Gyo
Department Of Physics Tohoku University
-
Takeda Gyo
Department Of Physics Faculty Of Science Tohoku University
-
UI Haruo
Department of Physics, Hiroshima University
関連論文
- Supersymmetries in Extreme Non-Relativistic Systems
- The (d,α) Reaction and Cluster Structure of Light Nuclei : the O^(d,α)N^ reaction
- Quasielastic Electron Scattering from Nuclei
- A Class of Simple Hamiltonians with Degenerate Ground State. II A Model of Nuclear Rotation : Spontaneous Breakdown of Rotation Symmetry and Goldstone Theorem for Finite Dimensional System
- Supersymmetric Quantum Mechanics and Fermion in a Gauge Feild of (1+2) Dimension
- A Deformable Bag Model of Hadrons. I
- Form Factor Sum Rule and Giant Multipole States
- Superspace Lagrangian Model of Supersymmetric Quantum Mechanics in Three-Dimensional Space (General)
- 9 Strong Pion-pion Interaction Model Applied on the Pion-nucleon Scattering in 1 Bev. Region
- Does Accidental Degeneracy Imply a Symmetry Group? : Particles and Fields
- A Class of Simple hamiltonians with Degenerate Ground State. I
- An Application of Spontaneously Broken Local Gauge Theory to Molecular Dynamics : Are Coriolis and Centrifugal Forces Fictitious Force?
- Supersymmetric Quantum Mechanics in Three-Dimensional Space. I : One-Particle System with Spin-Orbit Potential : Nuclear Physics
- Intremediate Resonances in Hadron Scattering : Application of the Theory of Intermediate Nuclear Resonances
- Quantum Mechanical Rigid Rotator with an Arbitrary Deformation. I : Dynamical Group Approach to Quadratically Deformed Body
- A Deformable Bag Model of Hadrons. II : Particles and Fields
- Boson Bogolyubov Transformation and the SU(1, 1) Group
- Nuclear Rotation, Nambu-Goldstone Mode and Higgs Mechanism : General
- Clebsch-Gordan Formulas of the SU(1, 1) Group