Path Integrals pp 201-235 | Cite as

Explicit Functional Integration Method for Determining Approximate Stationary States in Quantum Field Theories

  • Gerald Rosen
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 34)


The Ray1eigh-Ritz procedure for functionalities, an explicit functional integration method for determining approximate stationary states in quantum field theories, is described and illustrated here for certain models with simply chosen expressions for the trial state functionals. Approximate vacuum, one-particle and two-particle (noninteracting, bound or scattering) stationary states are derived for generic self-interacting real scalar theories without renormalization, for a nonre1ativistic real scalar-Weyl spinor model with renormalization, and for a self — interacting complex scalar model with renormalization.


Functional Integration Hamiltonian Operator Energy Functionality Relativistic Wave Equation Real Scalar Field 


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Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • Gerald Rosen
    • 1
  1. 1.Department of PhysicsDrexel UniversityPhiladelphiaUSA

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