Pseudo-Linear Mechanics with Pseudo-Translation Symmetry
نویسندگان
چکیده
منابع مشابه
Pseudo-Hermitian Quantum Mechanics
A diagonalizable non-Hermitian Hamiltonian having a real spectrum may be used to define a unitary quantum system, if one modifies the inner product of the Hilbert space properly. We give a comprehensive and essentially self-contained review of the basic ideas and techniques responsible for the recent developments in this subject. We provide a critical assessment of the role of the geometry of t...
متن کاملPseudo-Supersymmetric Quantum Mechanics and Isospectral Pseudo-Hermitian Hamiltonians
We examine the properties and consequences of pseudo-supersymmetry for quantum systems admitting a pseudo-Hermitian Hamiltonian. We explore the Witten index of pseudo-supersymmetry and show that every pair of diagonalizable (not necessarily Hermitian) Hamiltonians with discrete spectra and real or complex-conjugate pairs of eigenvalues are isospectral and have identical degeneracy structure exc...
متن کاملPseudo-Hermiticity versus PT Symmetry III: Equivalence of pseudo-Hermiticity and the presence of anti-linear symmetries
We show that a (non-Hermitian) Hamiltonian H admitting a complete biorthonormal set of eigenvectors is pseudo-Hermitian if and only if it has an anti-linear symmetry, i.e., a symmetry generated by an anti-linear operator. This implies that the eigenvalues of H are real or come in complex conjugate pairs if and only if H possesses such a symmetry. In particular, the reality of the spectrum of H ...
متن کاملHamilton-Jacobi Mechanics from Pseudo-Supersymmetry
For a general mechanical system, it is shown that each solution of the Hamilton-Jacobi equation defines an N = 2 pseudo-supersymmetric extension of the system, such that the usual relation of the momenta to Hamilton’s principal function is the ‘BPS’ condition for preservation of 1/2 pseudo-supersymmetry. The examples of the relativistic and nonrelativistic particle, in a general potential, are ...
متن کاملApproximation by pseudo-linear operators
The approximation operators provided by classical Approximation Theory use exclusively as underlying algebraic structure the linear structure of the reals. Also they are all linear operators. We address in the present paper the following problems: Need all the approximation operators be linear? Is the linear structure the only one which allows us to construct particular approximation operators?...
متن کاملذخیره 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: Journal of Applied Mathematics and Physics
سال: 2021
ISSN: 2327-4352,2327-4379
DOI: 10.4236/jamp.2021.94047