French translation for "hamiltonian matrix"

matrice hamiltonienne

Example Sentences:

	1.	It follows that the trace of a Hamiltonian matrix is zero. La trace d'une matrice hamiltonienne est nulle.
	2.	The simplifications are as follows: The perturbation parameter in the Hamiltonian is a known, linear function of time The energy separation of the diabatic states varies linearly with time The coupling in the diabatic Hamiltonian matrix is independent of time The first simplification makes this a semi-classical treatment. Ces simplifications sont les suivantes : le paramètre de perturbation dans le hamiltonien est une fonction linéaire du temps connue. la séparation de l'énergie des états diabatiques varie linéairement avec le temps. le couplage dans la matrice hamiltonienne diabatique est indépendante du temps.
	3.	In 1932 an analytic solution to the problem of calculating adiabatic transition probabilities was published separately by Lev Landau and Clarence Zener, for the special case of a linearly changing perturbation in which the time-varying component does not couple the relevant states (hence the coupling in the diabatic Hamiltonian matrix is independent of time). En 1932, une solution analytique au problème du calcul des probabilités de transition diabatique fut publié séparément par Lev Landau et Clarence Zener, pour le cas spécifique de la perturbation changeant linéairement dans laquelle la composante dépendant du temps n'est pas couplée aux états pertinents (par conséquent le couplage dans la matrice hamiltonienne diabatique est indépendant du temps).
	4.	The second simplification allows us to make the substitution Δ E = E 2 ( t ) − E 1 ( t ) ≡ α t , {\displaystyle \Delta E=E_{2}(t)-E_{1}(t)\equiv \alpha t,\,} where E 1 ( t ) {\displaystyle \scriptstyle {E_{1}(t)}} and E 2 ( t ) {\displaystyle \scriptstyle {E_{2}(t)}} are the energies of the two states at time t {\displaystyle \scriptstyle {t}} , given by the diagonal elements of the Hamiltonian matrix, and α {\displaystyle \scriptstyle {\alpha }} is a constant. La seconde simplification permet la substitution : Δ E = E 2 ( t ) − E 1 ( t ) ≡ α t
	5.	Assuming the magnetic-field dependence is linear, the Hamiltonian matrix for the system with the field applied can be written H = ( μ B ( t ) − ℏ ω 0 / 2 a a ∗ ℏ ω 0 / 2 − μ B ( t ) ) {\displaystyle \mathbf {H} ={\begin{pmatrix}\mu B(t)-\hbar \omega _{0}/2&a\\a^{*}&\hbar \omega _{0}/2-\mu B(t)\end{pmatrix}}} where μ {\displaystyle \scriptstyle {\mu }} is the magnetic moment of the atom, assumed to be the same for the two diabatic states, and a {\displaystyle \scriptstyle {a}} is some time-independent coupling between the two states. Si l'on suppose la dépendance au champ magnétique linéaire, la matrice hamiltonienne du système peut s'écrire : H = ( μ B ( t ) − ℏ ω 0 / 2 a a ∗ ℏ ω 0 / 2 − μ B ( t ) )

Similar Words：

"hamiltonella defensa" French translation, "hamiltonian" French translation, "hamiltonian (quantum mechanics)" French translation, "hamiltonian field theory" French translation, "hamiltonian graph" French translation, "hamiltonian mechanics" French translation, "hamiltonian monte carlo" French translation, "hamiltonian path" French translation, "hamiltonian vector field" French translation