Exact propagators for SUSY partners
نویسندگان
چکیده
Pairs of SUSY partner Hamiltonians are studied which are interrelated by usual (linear) or polynomial supersymmetry. Assuming the model of one of the Hamiltonians as exactly solvable with known propagator, expressions for propagators of partner models are derived. The corresponding general results are applied to “a particle in a box”, the Harmonic oscillator and a free particle (i.e. to transparent potentials). submitted to: J. Phys. A: Math. Theor.
منابع مشابه
Exact propagators for complex SUSY partners of real potentials
A method for calculating exact propagators for those complex potentials with a real spectrum which are SUSY partners of real potentials is presented. It is illustrated by examples of propagators for some complex SUSY partners of the harmonic oscillator and zero potentials. Recently a considerable attention has been paid to investigating different properties of non-Hermitian Hamiltonians (see e....
متن کاملA Completely Invariant SUSY Transform of Supersymmetric QED
We study the SUSY breaking of the covariant gauge-fixing term in SUSY QED and observe that this corresponds to a breaking of the Lorentz gauge condition by SUSY. Reasoning by analogy with SUSY’s violation of the Wess-Zumino gauge, we argue that the SUSY transformation, already modified to preserve Wess-Zumino gauge, should be further modified by another gauge transformation which restores the L...
متن کاملConstraining R-parity violating couplings using dimuon data at Tevatron Run-II
The dimuon plus dijet signal is analyzed in the top squark pair production at Tevatron Run-II experiment and the total event rate is compared with the existing dimuon data. This comparison rules out top squark mass upto 188(104) GeV for the branching fraction 100%(50%) of top squark decay into the muon plus quark via lepton number violating coupling. Interpretation of this limit in the framewor...
متن کاملua nt - p h / 05 07 16 0 v 1 1 7 Ju l 2 00 5 SUSY transformation of the Green function and a trace formula
An integral relation is established between the Green functions corresponding to two Hamiltonians which are supersymmetric (SUSY) partners and in general may possess both discrete and continuous spectra. It is shown that when the continuous spectrum is present the trace of the difference of the Green functions for SUSY partners is a finite quantity which may or may not be equal to zero despite ...
متن کاملInstantaneous Bethe–salpeter Equation with Exact Propagators
Consequent application of the instantaneous approximation to both the interaction and all propagators of the bound-state constituents allows us to forge, within the framework of the Bethe–Salpeter formalism for the description of bound states, an instantaneous form of the Bethe–Salpeter equation with exact (i.e., full) propagators of the bound-state constituents. This instantaneous equation gen...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007