Diabatic Hamiltonian matrix elements made simple

نویسندگان

چکیده

With a view to applying the Generator Coordinate Method large configuration spaces, we propose simple approximate formula compute diabatic many-body matrix elements without having evaluate two-body interaction elements. The method is illustrated with two analytically solvable Hamiltonians based on harmonic oscillator.

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

Finite - Element Lattice Hamiltonian Matrix Elements

The finite-element approach to lattice field theory is both highly accurate (relative errors ∼ 1/N2, where N is the number of lattice points) and exactly unitary (in the sense that canonical commutation relations are exactly preserved at the lattice sites). In this paper we construct matrix elements for the time evolution operator for the anharmonic oscillator, for which the continuum Hamiltoni...

متن کامل

Off-forward Matrix Elements in Light-Front Hamiltonian QCD

We investigate the off-forward matrix element of the light cone vector operator for a dressed quark state in light-front Hamiltonian perturbation theory. We obtain the corresponding splitting functions in a straightforward way. We show that the end point singularity is canceled by the contribution from the normalization of state. Considering mixing with the gluon operator, we verify the helicit...

متن کامل

Finite-Element Lattice Hamiltonian Matrix Elements: Anharmonic Oscillators

Abstract. The fimte-element approach to lattice field theory is both highly accurate (relative errors ~ 1/N 2, where N is the number of lattice points) and exactly unitary (in the sense that canonical commutation relations are exactly preserved at the lattice sites). In this Letter, we construct matrix elements for the time evolution operator for the anharmonic oscillator, for which the continu...

متن کامل

Matrix Elements of Thiemann’s Hamiltonian Constraint in Loop Quantum Gravity

We present an explicit computation of matrix elements of the hamiltonian constraint operator in non-perturbative quantum gravity. In particular, we consider the euclidean term of Thiemann’s version of the constraint and compute its action on trivalent states, for all its natural orderings. The calculation is performed using graphical techniques from the recoupling theory of colored knots and li...

متن کامل

Concurrent Timestamping Made Simple

Concurrent Time-stamp Systems (ctss) allow processes to temporally order concurrent events in an asynchronous shared memory system, a powerful tool for concurrency control, serving as the basis for solutions to coordination problems such as mutual exclusion, `-exclusion, randomized consensus, and multi-writer multi-reader atomic registers. Solutions to these problems all use an \unbounded numbe...

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: Physical Review C

سال: 2022

ISSN: ['2470-0002', '2469-9985', '2469-9993']

DOI: https://doi.org/10.1103/physrevc.105.034323