Non-Hermitian non--symmetric Dirac Hamiltonians with real energy eigenvalues

نویسندگان

چکیده

برای دانلود رایگان 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

Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework

We show that complex Lie algebras (in particular sl(2,C)) provide us with an elegant method for studying the transition from real to complex eigenvalues of a class of non-Hermitian Hamiltonians: complexified Scarf II, generalized Pöschl-Teller, and Morse. The characterizations of these Hamiltonians under the so-called pseudoHermiticity are also discussed. PACS: 02.20.Sv; 03.65.Fd; 03.65.Ge

متن کامل

Non-Hermitian Hamiltonians with real and complex eigenvalues: An sl(2,C) approach

Potential algebras are extended from Hermitian to non-Hermitian Hamiltonians and shown to provide an elegant method for studying the transition from real to complex eigenvalues for a class of non-Hermitian Hamiltonians associated with the complex Lie algebra A1.

متن کامل

Gauging non-Hermitian Hamiltonians

We address the problem of coupling non-Hermitian systems, treated as fundamental rather than effective theories, to the electromagnetic field. In such theories the observables are not the x and p appearing in the Hamiltonian, but quantities X and P constructed by means of the metric operator. Following the analogous procedure of gauging a global symmetry in Hermitian quantum mechanics we find t...

متن کامل

A class of spherically-separable non-Hermitian PφTφ−symmetric Hamiltonians

A family of spherical non-Hermitian potentials of the form V (r, θ, φ) = V (r) + f (θ) e/r (where r, V (r) , f (θ) ∈ R, e ∈ C) is studied. With f (θ) = 1/ sin θ, it is shown that the corresponding non-Hermitian Hamiltonians admit some “new” PφTφ−symmetry. It is observed that whilst such PφTφ−symmetric Hamiltonians just copy the eigenvalues of V (r) , the corresponding wavefunctions would rather...

متن کامل

Classes of non-Hermitian operators with real eigenvalues

Classes of non-Hermitian operators that have only real eigenvalues are presented. Such operators appear in quantum mechanics and are expressed in terms of the generators of the Weyl-Heisenberg algebra. For each non-Hermitian operator A, a Hermitian involutive operator Ĵ such that A is Ĵ-Hermitian, that is, ĴA = AĴ , is found. Moreover, we construct a positive definite Hermitian Q such that A is...

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: Physics Letters A

سال: 2013

ISSN: 0375-9601

DOI: 10.1016/j.physleta.2013.06.022