Supersymmetric quantum mechanics and regularizations
نویسنده
چکیده
We show that and how the centrifugal-singularity paradox [first formulated by Jevicki and Rodriguez in Phys. Lett. B 146 (1984) 55, partially resolved by Das and Pernice in Nucl. Phys. B 561 (1999) 357 and covering, as its l = 0 special case, also the half-oscillator problem discussed, recently, by Gangopadhyaya and Mallow (arXiv: hep-th/0206133) and by Das and Pernice in their subsequent comment (arXiv: hepth/0207112)] finds a natural and complete resolution in a de-complexification of the standard analytic regularization technique. PACS 03.65.Fd; 03.65.Ca; 03.65.Ge; 11.30.Pb; 12.90.Jv e-mail: [email protected]
منابع مشابه
PT −symmetric regularizations in supersymmetric quantum mechanics
Within the supersymmetric quantum mechanics the necessary regularization of the poles of the superpotentials on the real line of coordinates x may be most easily mediated by a small constant shift of this axis into complex plane. Detailed attention is paid here to the resulting recipe which works, in effect, with non-Hermitian (a. k. a. PT −symmetric or pseudo-Hermitian) Hamiltonians. Besides a...
متن کاملExperiments in PT −symmetric quantum mechanics
Extended quantum mechanics using non-Hermitian (pseudo-Hermitian) Hamiltonians H = H is briefly reviewed. A few related mathematical experiments concerning supersymmetric regularizations, solvable simulations and large-N expansion techniques are summarized. We suggest that they could initiate a deeper study of non-localized structures (quasi-particles) and/or of their unstable and many-particle...
متن کاملSuper algebra and Harmonic Oscillator in Anti de Sitter space
The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space. Then we apply the supersymmetric Quantum Mechanics approach to solve our differential equation. In this paper we have solved Schrodinger equation for harmonic oscillator in AdS spacetime by supersymmetry approach. The shape...
متن کاملSupersymmetric Quantum Mechanics of Monopoles in N=4 Yang-Mills Theory
A supersymmetric collective coordinate expansion of the monopole solution of N = 4 Yang-Mills theory is performed resulting in an N = 4 supersymmetric quantum mechanics on the moduli space of monopole solutions.
متن کاملSupersymmetric quantum mechanics and the Korteweg-de Vries hierarchy
The connection between supersymmetric quantummechanics and the Kortewegde Vries (KdV) equation is discussed, with particular emphasis on the KdV conservation laws. It is shown that supersymmetric quantum mechanics aids in the derivation of the conservation laws, and gives some insight into the Miura transformation that converts the KdV equation into the modified KdV equation. The construction o...
متن کامل