Equivalent Hamiltonians with additional discrete states

Journal Article · Tue Jan 01 04:00:00 EST 1991 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.43.254· OSTI ID:6095259

Chinn, C R ^[1]; Thaler, R M ^[2]

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1. Physics Department, Lawrence Livermore National Laboratory, Livermore, CA (USA)
2. Los Alamos National Laboratory, Los Alamos, NM (USA) Department of Physics, Case Western Reserve University, Cleveland, OH (USA)

Given a particular Hamiltonian {ital H}, we present a method to generate a new Hamiltonian {ital {tilde H}}, which has the same discrete energy eigenvalues and the same continuum phase shifts as {ital H}, but which also has additional given discrete eigenstates. This method is used to generate a Hamiltonian {ital h}{sub 1}, which gives rise to a complete orthonormal set of basis states, which contain a given set of biorthonormal discrete states, the continuum states of which are asymptotic to plane waves (have zero phase shifts). Such a set of states may be helpful in representing the medium modification of the Green's function due to the Pauli principle, as well as including Pauli exclusion effects into scattering calculations.

• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6095259
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Journal Name: Physical Review, C (Nuclear Physics); (USA) Vol. 43:1; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUND STATE
BOUNDARY CONDITIONS
EIGENSTATES
EIGENVALUES
ENERGY LEVELS
EQUATIONS
FUNCTIONS
GREEN FUNCTION
HAMILTONIANS
INTEGRAL EQUATIONS
MATHEMATICAL OPERATORS
MECHANICS
PAULI PRINCIPLE
PHASE SHIFT
QUANTUM MECHANICS
QUANTUM OPERATORS
SCATTERING
SUPERSYMMETRY
SYMMETRY
WAVE FUNCTIONS