Direct Methods for Pseudo-relativistic Schrödinger Operators

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

Relativistic wave equations with fractional derivatives and pseudo-differential operators

The class of the free relativistic covariant equations generated by the fractional powers of the D’Alambertian operator ( ) is studied. Meanwhile the equations corresponding to n = 1 and 2 (Klein-Gordon and Dirac equations) are local in their nature, the multicomponent equations for arbitrary n > 2 are non-local. It is shown, how the representation of generalized algebra of Pauli and Dirac matr...

متن کامل

A pr 2 01 6 Kato ’ s Inequality for Magnetic Relativistic Schrödinger Operators

Kato’s inequality is shown for the magnetic relativistic Schrödinger operator HA,m defined as the operator theoretical square root of the selfadjoint, magnetic nonrelativistic Schrödinger operator (−i∇−A(x))2 +m2 with an Lloc vector potential A(x). Mathematics Subject Classification (2010): 47A50; 81Q10; 47B25; 47N50; 47D06; 47D08.

متن کامل

properties of M−hyoellipticity for pseudo differential operators

In this paper we study properties of symbols such that these belong to class of symbols sitting insideSm ρ,φ that we shall introduce as the following. So for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of M−hypoelliptic pseudodifferential operators for which define base on this class of symbols. Also we consider maxi...

متن کامل

Convergence of Schrödinger Operators

For a large class, containing the Kato class, of real-valued Radon measures m on R the operators −∆ + ε∆ + m in L(R, dx) tend to the operator −∆ +m in the norm resolvent sense, as ε tends to zero. If d ≤ 3 and a sequence (μn) of finite real-valued Radon measures on R converges to the finite real-valued Radon measure m weakly and, in addition, supn∈N μ ± n (R) < ∞, then the operators −∆ + ε∆ + μ...

متن کامل

Ü Estimates for Time - Dependent Schrödinger Operators

It is well known that the local decay estimates (2) are useful in studying nonlinear Schrödinger equations (see [8, §XI.13], [11]). On the other hand little seems to be known when one replaces the free operator HQ by more general Hamiltonians (4) H = -A + V(x), even when the potential V is in C^°(R). Obviously, one has to assume that H has no bound states for an estimate like (2) to it M hold f...

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: The Journal of Geometric Analysis

سال: 2020

ISSN: 1050-6926,1559-002X

DOI: 10.1007/s12220-020-00492-1