Harmonic Approximation of the Functional Integral and the Schrodinger Equation
Aug, 19754 pages
Published in:
- Phys.Lett.B 58 (1975) 341-344
- Published: 1975
Report number:
- Print-75-0720 (BOLOGNA)
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Abstract: (Elsevier)
A new approximation for the density matrix e − βH ( x , y ) of a quantum-mechanical system is proposed. Starting from the Feynman-Kac formula we expand the potential up to second order around the linear path connecting x and y . As an example, the first eigenvalues of the anharmonic oscillator are computed. The analogue procedure in field theory is briefly discussed.- MODEL: FIELD THEORY
- CORRELATION
- ANALYTIC PROPERTIES
- MECHANICS: STATISTICS
- QUANTUM MECHANICS: DENSITY MATRIX
- FIELD THEORY
- APPROXIMATION
- POTENTIAL
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