Some matrix elements for Morse oscillators
نویسندگان
چکیده
منابع مشابه
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 کاملThe Connection Matrix Theory for Morse Decompositions
The connection matrix theory for Morse decompositions is introduced. The connection matrices are matrices of maps between the homology indices of the sets in the Morse decomposition. The connection matrices cover, in a natural way, the homology index braid of the Morse decomposition and provide information about the structure of the Morse decomposition. The existence of connection matrices of M...
متن کاملSome Algebraic Aspects of Morse Code Sequences
1 Morse code polynomials Morse code sequences are finite sequences of dots (•) and dashes (−). If a dot has length 1 and a dash has length 2 then the number of all such sequences of total length n−1 is the Fibonacci number Fn, which is defined as the sequence of numbers satisfying the recursion Fn = Fn−1 + Fn−2 with initial conditions F0 = 0 and F1 = 1. If a dash is assumed to have length j, j≥...
متن کاملThe Morse and Maslov indices for matrix Hill’s equations
For Hill’s equations with matrix valued periodic potential, we discuss relations between the Morse index, counting the number of unstable eigenvalues, and the Maslov index, counting the number of signed intersections of a path in the space of Lagrangian planes with a fixed plane. We adapt to the one dimensional periodic setting the strategy of a recent paper by J. Deng and C. Jones relating the...
متن کاملPerfect Morse Functions and Some Applications
In this paper the perfect Morse functions on a compact manifold are studied. Some constructions of such functions on compact manifolds and some applications are also given.
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: Physical Review A
سال: 1980
ISSN: 0556-2791
DOI: 10.1103/physreva.21.1829