Super-Calogero model with OSp(2|2) supersymmetry: is the construction unique?

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Super - Calogero model with OSp ( 2 | 2 ) supersymmetry : is the construction unique ?

We show that the construction of super-Calogero model with OSp(2|2) supersymmetry is not unique. In particular, we find a new co-ordinate representation of the generators of the OSp(2|2) superalgebra that appears as the dynamical supersymmetry of the rational super-Calogero model. Both the quadratic and the cubic Casimir operators of the OSp(2|2) are necessarily zero in this new representation,...

متن کامل

Hidden Algebras of the (super) Calogero and Sutherland models

We propose to parametrize the configuration space of one-dimensional quantum systems of N identical particles by the elementary symmetric polynomials of bosonic and fermionic coordinates. It is shown that in this parametrization the Hamiltonians of the AN , BCN , BN , CN and DN Calogero and Sutherland models, as well as their supersymmetric generalizations, can be expressed — for arbitrary valu...

متن کامل

Calogero-Moser Models V: Supersymmetry and Quantum Lax Pair

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 (with/without a harmonic confining potential), trigonometric and hyperbolic potentials can be simply supersymmetrised in terms of superpotentials. There is a universal formula for the supersymmetric ground state wavefun...

متن کامل

Supersymmetry, Shape Invariance and Solvability of AN−1 and BCN Calogero-Sutherland Model

Using the ideas of supersymmetry and shape invariance we re-derive the spectrum of the AN−1 and BCN Calogero-Sutherland model. We briefly discuss as to how to obtain the corresponding eigenfunctions. We also discuss the difficulties involved in extending this approach to the trigonometric models. PACS numbers: 03.65.Ge, 05.30.-d Typeset using REVTEX 1 Electronic address: [email protected] 2 E...

متن کامل

Complex Calogero model with real energies

Recently, PT symmetry of many single-particle non-Hermitian Hamiltonians has been conjectured sufficient for keeping their spectrum real. We show that and how the similar concept of a “weakened Hermiticity” can be extended to some exactly solvable twoand three-particle models. PACS 03.65.Ge, 03.65.Fd February 1, 2008, ptcal.tex file 1 e-mail: [email protected] 2 e-mail: [email protected]

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Nuclear Physics B

سال: 2004

ISSN: 0550-3213

DOI: 10.1016/j.nuclphysb.2003.12.011