In this paper we derive a lower bound, independent from the number of atoms N , for the minimal interatomic distances between atoms in a cluster whose total energy is modelled by means of the so called Morse potential. A similar result was previously proven for Lennard-Jones clusters but the proof can not be extended to Morse clusters. Besides the theoretical interest, the derivation of this lo...

Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential is studied to get real and complex-valued energy eigenvalues and corresponding wave functions. Hamiltonian Hierarchy method is used in the calculations. PACS numbers: 03.65.-w; 03.65.Ge

A four parameter exponential-type potential known as the deformed and modified Morse model was proposed. The solution of one-dimensional radial Schrӧdinger equation obtained in presence proposed for an arbitrary ℓ-state using a parametric Nikiforov–Uvarov method. energy used to obtain eigenvalues cesium molecule tin carbide various states. effects on were studied. result by fixing zero. Finally...

In [13] a homology theory –Morse-Conley-Floer homology– for isolated invariant sets of arbitrary flows on finite dimensional manifolds is developed. In this paper we investigate functoriality and duality of this homology theory. As a preliminary we investigate functoriality in Morse homology. Functoriality for Morse homology of closed manifolds is known [1, 2, 3, 8, 14], but the proofs use isom...

A new proof of Euler's formula for polytopes is presented via an approach using potential functions. In particular, a connection between Euler's formula and the Morse relation from differential topology is established.