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Imaginary-Scaling versus Indefinite-Metric Quantization of the Pais-Uhlenbeck Oscillator
Higher derivative theories ghosts indefinite metric Pais-Uhlenbeck Oscillator
2011/7/10
Abstract: Using the Pais-Uhlenbeck Oscillator as a toy model, we outline a consistent alternative to the indefinite-metric quantization scheme that does not violate unitarity. We describe the basic ma...
We apply the star product quantization to the Lie algebra. The quantization in terms of the star product is well known and the commutation relation in this case is called the $\theta$-deformation wher...
We study the problem of four-form flux quantization in F-theory compactifications. We prove that for smooth, elliptically fibered Calabi-Yau fourfolds with a Weierstrass representation, the flux is a...
Fock quantization of a scalar field with time dependent mass on the three-sphere: unitarity and uniqueness
Fock quantization scalar field unitarity
2010/1/6
We study the Fock description of a quantum free field on the three-sphere with a mass that depends explicitly on time, also interpretable as an explicitly time dependent quadratic potential. We show t...
Schrödinger Quantization and Excited States of Zitterbewegung
Schrö dinger Quantization Zitterbewegung
2001/3/30
General wavefunction is expanded as power series of a variable which describes internal dynamics of particle, to show that it contains excited states of Schrödinger's Zitterbewegung.