منابع مشابه
Hamiltonians Defined as Quadratic Forms *
We present a complete mathematical theory of two-body quantum mechanics for a class of potentials which is larger than the usual L-classes and which includes potentials with singularities as bad as r~ + . The basic idea is to define H0 4V as a sum of quadratic forms rather than as an operator sum.
متن کاملIndirect quantum tomography of quadratic Hamiltonians
A number of many-body problems can be formulated using Hamiltonians that are quadratic in the creation and annihilation operators. Here, we show how such quadratic Hamiltonians can be efficiently estimated indirectly, employing very few resources. We found that almost all the properties of the Hamiltonian are determined by its surface and that these properties can be measured even if the system...
متن کاملExact Solution of Quadratic Fermionic Hamiltonians for Arbitrary Boundary Conditions.
We present a procedure for exactly diagonalizing finite-range quadratic fermionic Hamiltonians with arbitrary boundary conditions in one of D dimensions, and periodic in the remaining D-1. The key is a Hamiltonian-dependent separation of the bulk from the boundary. By combining information from the two, we identify a matrix function that fully characterizes the solutions, and may be used to con...
متن کاملNoncommutative Classical and Quantum Mechanics for Quadratic Lagrangians (Hamiltonians)
We consider classical and quantum mechanics for an extended Heisenberg algebra with additional canonical commutation relations for position and momentum coordinates. In our approach this additional noncommutativity is removed from the algebra by linear transformation of coordinates and transmitted to the Hamiltonian (Lagrangian). Since linear transformations do not change the quadratic form of ...
متن کاملBilinear and quadratic Hamiltonians in two-mode cavity quantum electrodynamics
F. O. Prado, N. G. de Almeida, M. H. Y. Moussa and C. J. Villas-Bôas Universidade Federal de São Carlos, São Carlos, Brazil and Universidade Católica de Goiás, Goiânia, Brazil Abstract In this work we show how to engineer bilinear and quadratic Hamiltonians in cavity quantum electrodynamics (QED) through the interaction of a single driven two-level atom with cavity modes. The validity of the en...
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: Quantum
سال: 2020
ISSN: 2521-327X
DOI: 10.22331/q-2020-05-25-271