Coherent states of the two-dimensional non-separable supersymmetric Morse potential
نویسندگان
چکیده
Supersymmetry is a fundamental feature of quantum theory described by supersymmetric Hamiltonian comprised several mechanical Hamiltonians with different potentials that allows us to relate information about the states and spectra constituent Hamiltonians. In this paper we reconstruct Ioffe’s set for singular non-separable two-dimensional Morse potential using supersymmetry from non-degenerate constructed initial separable Hamiltonian. We define generalised coherent states, compute their uncertainty relations, find singularity in partner significantly affects localisation state wavefunction.
منابع مشابه
Supersymmetric Solution of PT-/Non-PT-Symmetric and Non-Hermitian Morse Potential via Hamiltonian Hierarchy Method
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
متن کاملSe p 20 04 Statistical properties of Klauder - Perelomov coherent states for the Morse potential
We present in this letter a realistic construction of the coherent states for the Morse potential using the Klauder-Perelomov approach. We discuss the statistical properties of these states, by deducing the Q-and P-distribution functions. The thermal expectations for the quantum canonical ideal gas of the Morse oscillators are also calculated.
متن کاملNon-Hermitian coherent states for finite-dimensional systems
We introduce Gilmore-Perelomov coherent states for non-unitary representations of non-compact groups, and discuss the main similarities and differences with respect to ordinary unitary Gilmore-Perelomov coherent states. The example of coherent states for the non-unitary finite dimensional representations of SU(1, 1) is considered and they are used to describe the propagation of light in coupled...
متن کاملAn Entanglement Study of Superposition of Qutrit Spin-Coherent States
Considering generalized concurrence as the criterion of entanglement, we study entanglement properties of superposition of two qutrit coherent states, as a function of their amplitudes. These states may attain maximum entanglement or no entanglement at all, depending on the choice of the parameters involved. The states revealing maximum entanglement also display the maximum violations of the Be...
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: European Physical Journal Plus
سال: 2021
ISSN: ['2190-5444']
DOI: https://doi.org/10.1140/epjp/s13360-021-02096-2