Constructs the most general Hermitian quadratic invariant for the linear potential, reduces it to a harmonic oscillator Hamiltonian via unitary transformations, and derives explicit expressions for the discrete spectrum when ω² > 0.
Bauer, Comment on ‘Solution of the Schr¨ odinger Equation for the Time-Dependent Linear Potential’, Phys
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Quantum Dynamics of a Particle in a Linear Potential: Invariant Operator Approach and Discrete Spectrum Solutions
Constructs the most general Hermitian quadratic invariant for the linear potential, reduces it to a harmonic oscillator Hamiltonian via unitary transformations, and derives explicit expressions for the discrete spectrum when ω² > 0.