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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.18809 |
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| _version_ | 1866909862376505344 |
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| author | Grozdanov, Tasko Solov'ev, Evgeni |
| author_facet | Grozdanov, Tasko Solov'ev, Evgeni |
| contents | A classical representation for quantum eigenstates of a particle bound in $λz^{2m}$ $(λ>0, m=1,2,...)$ potentials is developed. It is represented by ensembles of classical trajectories with energy distributions that can take on negative values, for $m>1$ have integrable singularities at zero energy and whose mean energies coincide with quantum eigenenergies. The corresponding Schrödinger equation in classical representation is analyzed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18809 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classical Representation for Quantum States of a Particle in $λz^{2m}$ potential Grozdanov, Tasko Solov'ev, Evgeni Quantum Physics A classical representation for quantum eigenstates of a particle bound in $λz^{2m}$ $(λ>0, m=1,2,...)$ potentials is developed. It is represented by ensembles of classical trajectories with energy distributions that can take on negative values, for $m>1$ have integrable singularities at zero energy and whose mean energies coincide with quantum eigenenergies. The corresponding Schrödinger equation in classical representation is analyzed. |
| title | Classical Representation for Quantum States of a Particle in $λz^{2m}$ potential |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.18809 |