Localization versus delocalization of the Davydov soliton: Dispersive collapse under the Schroedinger equation

Journal Article · Mon Mar 05 04:00:00 EST 1990 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.64.1174· OSTI ID:6970629

Rhodes, W; Nicholls, A ^[1]

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1. Department of Chemistry, The Florida State University, Tallahassee, FL (USA) Institute of Molecular Biophysics, The Florida State University, Tallahassee, Florida 32306 (USA)

The exact Schroedinger equation involving a modified Froehlich Hamiltonian used in Davydov soliton theory is formulated in terms of unitary time displacement and phonon coordinate displacement operators. Use is made of the sparse nature of the resulting matrix operators to develop an algorithm for vector processing on the Cyber 205 supercomputer. All numerical calculations lead us to conclude that the Schroedinger equation does not support the existence of the Davydov soliton as a persistent localized entity.

• DOE Contract Number: FG05-86ER60473
• OSTI ID: 6970629
• Journal Information: Physical Review Letters; (USA), Journal Name: Physical Review Letters; (USA) Vol. 64:10; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

550200* -- Biochemistry
59 BASIC BIOLOGICAL SCIENCES
ALGORITHMS
BIOPHYSICS
CHAINS
CHEMISTRY
COMPUTERS
COORDINATES
DATA
DIFFERENTIAL EQUATIONS
DIGITAL COMPUTERS
EQUATIONS
EXCITONS
HAMILTONIANS
INFORMATION
MATHEMATICAL LOGIC
MATHEMATICAL OPERATORS
MATRICES
NUMERICAL DATA
ORGANIC COMPOUNDS
PARTIAL DIFFERENTIAL EQUATIONS
PEPTIDES
PHONONS
POLYPEPTIDES
PROTEINS
QUANTUM OPERATORS
QUASI PARTICLES
SCHROEDINGER EQUATION
SOLITONS
SUPERCOMPUTERS
WAVE EQUATIONS