Bound States at Threshold in Supersymmetric Quantum Mechanics

نویسندگان

  • Massimo Porrati
  • Alexander Rozenberg
چکیده

We propose a general method that allows to detect the existence of normalizable ground states in supersymmetric quantum mechanical systems with non-Fredholm spectrum. We apply our method to show the existence of bound states at threshold in two important cases: 1) the quantum mechanical system describing H-monopoles; 2) the quantum mechanics of D0 branes. e-mail [email protected] Permanent address. e-mail [email protected]

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Duality, Multi-Monopole Dynamics & Quantum Threshold Bound States

Dynamics of supersymmetric monopoles are studied in the low energy approximation. A conjecture for the exact moduli space metric is given for all collections of fundamental monopoles of distinct type, and various partial confirmations of the conjecture are outlined. Upon the quantization of the resulting multi-monopole dynamics in the context of N = 4 supersymmetric Yang-Mills-Higgs theories, o...

متن کامل

On the decrease of the number of bound states with the increase of the angular momentum

For the class of central potentials possessing a finite number of bound states and for which the second derivative of rV (r) is negative, we prove, using the supersymmetric quantum mechanics formalism, that an increase of the angular momentum l by one unit yields a decrease of the number of bound states of at least one unit: Nl+1 ≤ Nl − 1. This property is used to obtain, for this class of pote...

متن کامل

Bound states in the continuum from supersymmetric quantum mechanics.

Starting from a potential with a continuum of energy eigenstates, we show how the methods of supersymmetric quantum mechanics can be used to generate families of potentials with bound states in the continuum [BICs]. We also find the corresponding wave functions. Our method preserves the spectrum of the original potential except it adds these discrete BICs at selected energies. Specifically, we ...

متن کامل

Supergravity Instantons and the Universal Hypermultiplet

The effective action of N = 2 supersymmetric 5-dimensional supergravity arising from compactifications of M-theory on Calabi-Yau threefolds receives non-perturbative corrections from wrapped Euclidean membranes and fivebranes. These contributions can be interpreted as instanton corrections in the 5 dimensional field theory. Focusing on the universal hypermultiplet, a solution of this type is pr...

متن کامل

Low-Energy Dynamics of Supersymmetric Solitons

In bosonic field theories the low-energy scattering of solitons that saturate Bogomol’nyi-type bounds can be approximated as geodesic motion on the moduli space of static solutions. In this paper we consider the analogous issue within the context of supersymmetric field theories. We focus our study on a class of N = 2 non-linear sigma models in d = 2 + 1 based on an arbitrary Kähler target mani...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997