Parasupersymmetric Quantum Mechanics
نویسندگان
چکیده
We discuss in detail the parasupersymmetric quantum mechanics of arbitrary order where the parasupersymmetry is between the normal bosons and those corresponding to the truncated harmonic oscillator. We show that even though the parasusy algebra is different from that of the usual parasusy quantum mechanics, still the consequences of the two are identical. We further show that the parasupersymmetric quantum mechanics of arbitrary order p can also be rewritten in terms of p supercharges (i.e. all of which obey Q2i = 0). However, the
منابع مشابه
Spectrum Degeneracy of General (p = 2)-parasupersymmetric Quantum Mechanics and Parasupersymmetric Topological Invariants
A thorough analysis of the general features of (p = 2) parasupersymmetric quantum mechanics is presented. It is shown that for both Rubakov{Spiridonov and Beckers{Debergh formulations of (p = 2)-parasupersymmetric quantum mechanics, the de eneracy structure of the energy spectrum can be derived using the deening parasuperalgebras. Thus the results of the present article is independent of the de...
متن کاملParasupersymmetric Quantum Mechanics and Indices of Fredholm Operators
The general features of the degeneracy structure of (p = 2) parasupersymmetric quantum mechanics are employed to yield a classification scheme for the form of the parasupersymmetric Hamiltonians. The method is applied to parasupersymmetric systems whose Hamiltonian is the square root of a forth order polynomial in the generators of the parasupersymmetry. These systems are interesting to study f...
متن کامل0 v 1 2 4 O ct 1 99 4 Spectrum Degeneracy of General ( p = 2 ) – Parasupersymmetric Quantum Mechanics and Parasupersymmetric Topological Invariants
A thorough analysis of the general features of (p = 2) parasupersymmetric quantum mechanics is presented. It is shown that for both Rubakov–Spiridonov and Beckers–Debergh formulations of (p = 2)parasupersymmetric quantum mechanics, the degeneracy structure of the energy spectrum can be derived using the defining parasuperalgebras. Thus the results of the present article is independent of the de...
متن کامل0 A ug 1 99 8 C λ - extended oscillator algebra and parasupersymmetric quantum mechanics ∗
C λ-extended oscillator algebra and parasupersymmetric quantum mechanics Abstract The C λ-extended oscillator algebra is generated by {1, a, a † , N, T }, where T is the generator of the cyclic group C λ of order λ. It can be realized as a generalized deformed oscillator algebra (GDOA). Its unirreps can thus be easily exhibited using the representation theory of GDOAs and their carrier space sh...
متن کاملTopological Aspects
Parasupersymmetric quantum mechanics is exploited to introduce a topological invariant associated with a pair of parameter dependent Fredholm (respectively elliptic diierential) operators satisfying two compatibility conditions. An explicit algebraic expression for this topological invariant is provided. The latter identiies the parasupersymmetric topological invariant with the sum of the analy...
متن کامل