Boundary triplet theory and its applications to spectral theory of differential op...
Time evolution of wave packets in eletromagnetism and quantum mechanics
Study of Schrodinger equation from supersymmetric quantum mechanics
Grant number: | 18/16631-3 |
Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
Effective date (Start): | November 01, 2018 |
Effective date (End): | October 31, 2020 |
Field of knowledge: | Physical Sciences and Mathematics - Physics - Atomic and Molecular Physics |
Principal Investigator: | Alexys Bruno Alfonso |
Grantee: | Murillo Rodrigues Silva |
Host Institution: | Faculdade de Ciências (FC). Universidade Estadual Paulista (UNESP). Campus de Bauru. Bauru , SP, Brazil |
Abstract A central problem in Quantum Mechanics is the search for experimental information on the wavefunction. In 1933, Pauli commented on whether it can be done, provided one knows the probability densities for position and linear momentum of a particle. From the mathematical viewpoint, this is called as the phase problem. The proposal aims physical, mathematical and computational treatments of the problem. First, computational codes based on the Gershberg-Saxton algorithm will be developed. Tests for several probability densities of position and linear momentum will be done. The algorithms will be modified, in order to improve convergence and accuracy, as well as to assess existence and uniqueness of solutions for the phase problem. The proposed research will find applications in quantum tomography and quantum computing. | |
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