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On a Class of Quantum Canonical Transformations and the Time-Dependent Harmonic Oscillator
Ali Mostafazadeh
Quantum canonical transformations corresponding to the action of the unitary operator is studied. It is shown that for , the effect of th…
Inverting Time-Dependent Harmonic Oscillator Potential by a Unitary Transformation and a New Class of Exactly Solvable Oscillators
Ali Mostafazadeh
A time-dependent unitary (canonical) transformation is found which maps the Hamiltonian for a harmonic oscillator with time-dependent real mass and real frequency to that of a gene…
Quantum Canonical Transformations and Exact Solution of the Schreodinger Equation
Ali Mostafazadeh
Time-dependent unitary transformations are used to study the Schreodinger equation for explicitly time-dependent Hamiltonians of the form , where is…
Two-Component Formulation of the Wheeler-DeWitt Equation
Ali Mostafazadeh
The Wheeler-DeWitt equation for the minimally coupled FRW-massive-scalar-field minisuperspace is written as a two-component Schrödinger equation with an explicitly `time'-dependent…
Non-Abelian Geometrical Phase for General Three-Dimensional Quantum Systems
Ali Mostafazadeh
Adiabatic geometric phases are studied for arbitrary quantum systems with a three-dimensional Hilbert space. Necessary and sufficient conditions for the occurrence of the no…
Adiabatic Geometrical Phase for Scalar Fields in a Curved Spacetime
Ali Mostafazadeh
A convenient framework is developed to generalize Berry's investigation of the adiabatic geometrical phase for a classical relativistic charged scalar field in a curved background…