Exactness in the WKB approximation for some homogeneous spaces
Jan, 1995
27 pages
Published in:
- J.Math.Phys. 36 (1995) 4590-4611
e-Print:
- hep-th/9501145 [hep-th]
DOI:
Report number:
- KYUSHU-HET-21
Citations per year
Abstract:
Analysis of the WKB exactness in some homogeneous spaces is attempted. as well as its noncompact counterpart is studied. or based on the Schwinger bosons leads us to or path integral expression for the quantity, , with the aid of coherent states. The WKB approximation terminates in the leading order and yields the exact result provided that the Hamiltonian is given by a bilinear form of the creation and the annihilation operators. An argument on the WKB exactness to more general cases is also made.- field theoretical model: CP(N-1)
- quantization
- coherent state
- approximation: semiclassical
- Hamiltonian formalism
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