Self-Adjointness of Generalized MIC-Kepler System

نویسنده

  • Pulak Ranjan Giri
چکیده

We have studied the self-adjointness of generalized MIC-Kepler Hamiltonian, obtained from the formally self-adjoint generalized MIC-Kepler Hamiltonian. We have shown that for l̃ = 0, the system admits an 1-parameter family of self-adjoint extension and for l̃ 6= 0 but l̃ < 1 2 , it has also an 1parameter family of self-adjoint extension.

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

Supersymmetric quantum mechanical generalized MIC-Kepler system

We construct supersymmetric(SUSY) generalized MIC-Kepler system and show that the systems with half integral Dirac quantization condition μ = ± 1 2 ,± 3 2 ,± 5 2 , ..... belong to a SUSY family (hierarchy of Hamiltonian) with same spectrum between the respective partner Hamiltonians except for the ground state. Similarly, the systems with integral Dirac quantization condition μ = ±1,±2,±3, .......

متن کامل

On Black-Scholes equation; method of Heir-equations‎, ‎nonlinear self-adjointness and conservation laws

In this paper, Heir-equations method is applied to investigate nonclassical symmetries and new solutions of the Black-Scholes equation. Nonlinear self-adjointness is proved and infinite number of conservation laws are computed by a new conservation laws theorem.

متن کامل

Non-Commutative Corrections to the MIC-Kepler Hamiltonian

Non-commutative corrections to the MIC-Kepler System (i.e. hydrogen atom in the presence of a magnetic monopole) are computed in Cartesian and parabolic coordinates. Despite the fact that there is no simple analytic expression for non-commutative perturbative corrections to the MICKepler spectrum, there is a term that gives rise to the linear Stark effect which didn’t exist in the standard hydr...

متن کامل

ar X iv : h ep - t h / 02 11 07 0 v 2 1 5 N ov 2 00 2 ( Super ) Oscillator on I CP N and Constant Magnetic Field

We define the “maximally integrable” isotropic oscillator on I CP and discuss its various properties, in particular, the behaviour of the system with respect to constant magnetic field. We show that the properties of the oscillator on I CP qualitatively differ in the N > 1 and N = 1 cases. In the former case we construct the “axially symmetric” system which is locally equivalent to the oscillat...

متن کامل

ar X iv : h ep - t h / 02 11 07 0 v 3 2 7 N ov 2 00 2 ( Super ) Oscillator on I CP N and Constant Magnetic Field

We define the “maximally integrable” isotropic oscillator on I CP and discuss its various properties, in particular, the behaviour of the system with respect to constant magnetic field. We show that the properties of the oscillator on I CP qualitatively differ in the N > 1 and N = 1 cases. In the former case we construct the “axially symmetric” system which is locally equivalent to the oscillat...

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 2006