dorsal/arxiv
View SchemaQuantum Phase Spase Representation for Double Well Potential
| Authors | Dmytro Babyuk |
|---|---|
| Categories | |
| ArXiv ID | physics/0208070 |
| URL | https://arxiv.org/abs/physics/0208070 |
Abstract
A behavior of quantum states (superposition of two lowest eigenstates, Gaussian wave packet) in phase space is studied for one and two dimensional double well potential. Two dimensional potential is constructed from double well potential coupled linearly and quadratically to harmonic potential. Quantum trajectories are compared with classical ones. Preferable tunneling path in phase space is found. An influence of energy of initial Gaussian wave packet and trajectory initial condition on tunneling process is analyzed.. Coupling effect on trajectories and preferable tunneling path for two dimensional potential is studied.
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"date_created": "2026-03-02T18:00:38.908000Z",
"date_modified": "2026-03-02T18:00:38.908000Z",
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"abstract": "A behavior of quantum states (superposition of two lowest eigenstates,\nGaussian wave packet) in phase space is studied for one and two dimensional\ndouble well potential. Two dimensional potential is constructed from double\nwell potential coupled linearly and quadratically to harmonic potential.\nQuantum trajectories are compared with classical ones. Preferable tunneling\npath in phase space is found. An influence of energy of initial Gaussian wave\npacket and trajectory initial condition on tunneling process is analyzed..\nCoupling effect on trajectories and preferable tunneling path for two\ndimensional potential is studied.",
"arxiv_id": "physics/0208070",
"authors": [
"Dmytro Babyuk"
],
"categories": [
"physics.chem-ph",
"physics.class-ph"
],
"title": "Quantum Phase Spase Representation for Double Well Potential",
"url": "https://arxiv.org/abs/physics/0208070"
},
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