hamiltonian|hamiltonians in English

noun

supporter of Alexander Hamilton; supporter of Hamiltonianism, advocate of the political principles of Alexander Hamilto

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1. Methods, systems and apparatus for quasi-adiabatic quantum computation include initializing a quantum processor to a ground state of an initial Hamiltonian and evolving the quantum processor from the initial Hamiltonian to a final Hamiltonian via an evolution Hamiltonian, wherein anti-crossings of the evolution Hamiltonian are passed non-adiabatically.

2. 18 The Hamiltonian is separable in normal coordinates.

3. In 1951, he showed the self-adjointness of Hamiltonians for realistic (singular) potentials.

4. Chomp: Covariant Hamiltonian Optimization for Motion Planning Matt Zucker1, Nathan Ratli 2, Anca D

5. The ammonia maser: dynamics in a two - state system with a time - dependent Hamiltonian.

6. Two applications are given, to hamiltonian differential systems and to a variant of the wave equation.

7. Transition energies were calculated for D4h symmetry using symmetry adapted functions and a normalized spherical harmonic Hamiltonian.

8. Action-angle coordinates are also useful in perturbation theory of Hamiltonian mechanics, especially in determining adiabatic invariants.

9. A group that is not abelian but for which every subgroup is normal is called a Hamiltonian group.

10. We show that this Hamiltonian is self-adjoint in the Fock space and semibounded when the number of electrons is kept constant.

11. While there is a 4-parameter family of self-Adjointly extended Hamiltonians on a punctured line, only a 3-parameter sub-family has supersymmetric …

12. This puzzle is related to the Hamiltonian path problem named after the 19th century Irish mathematician William Rowan Hamilton.

13. The operators are defined to be The commutator is Lets use this simple commutator to compute Commutators with the Hamiltonian

14. 11 The Coulomb interaction between the electron and the hole is treated accurately by the direct diagonalization of the Hamiltonian matrix.

15. The reason is that Ehrenfest's theorem is closely related to Liouville's theorem of Hamiltonian mechanics, which involves the Poisson bracket instead of a commutator.

16. Degeneracy occurs whenever there exists a unitary operator that acts non-trivially on a ground state and commutes with the Hamiltonian of the system.

17. The self-adjoint form of the classical equation of motion of the harmonic oscillator is used to derive a Hamiltonian-like equation and the Schrödinger equation in quantum mechanics.

18. In the method, the system is initialized to Ho and is then adiabatically changed until the system is described by the final state of the problem Hamiltonian HP.

19. The action is shown to be a first-order invariant for barely smooth modulation, and to be invariant to exponential precision, if the Hamiltonian is analytic in time and amplitude.

20. As an alternative, and useful for predetermining H∞ gain schedules, the infinity norm is included with the help of ramifications points of the eigenvalue contour of the Hamiltonian matrix.

21. In the Born–Oppenheimer approximation, the electronic molecular Hamiltonian is diagonalized on a set of distinct molecular geometries (the obtained eigenvalues are the values of the adiabatic potential energy surfaces).

22. A series of size‐consistent Approximations to the equation‐of‐motion coupled cluster method in the singles and doubles approximation (EOM‐CCSD) are developed by subjecting the similarity transformed Hamiltonian H ̄=exp (− T) H exp (T) to a perturbation expansion.

23. The Adiabatic theorem is simple to state, and it sounds plausible, but it is not easy to prove.3 If the Hamiltonian is independent of time, then a particle which starts out in the nth eigenstate,4 Vin, Hi/rn = Eni/rn, [10.7] 3The theorem is usually attributed to Ehrenfest, who studied Adiabatic processes in …

24. The purpose of the present chapter is once again to show on concrete new examples that chaos in one-dimensional unimodal mappings, dynamical chaos in systems of ordinary differential equations, diffusion chaos in systems of the equations with partial derivatives and chaos in Hamiltonian and conservative systems are generated by cascades of Bifurcations under universal Bifurcation …

25. Why is the Brout-Englert-Higgs Mechanism needed: a quick revisition I The framework that combines principles of the Quantum Mechanics and the Special Relativity is the Quantum Field Theory (QFT) I Lagrangian (L) is used instead of Hamiltonian (H) I Physicists knew the Quantum Electrodynamics (QED) and tried to build a theory to explain the β-decay based on similar ideas