### Abstract

A system of two equations is examined in this work: the K-field equation (geometric analogue of the Schrödinger equation) and an additional equation that provides uniqueness of the solution of the K-fleld equation (the K-motion equation). It is shown that this system allows one to take Lyapunov stability of the solutions of the K-motion equations as the quantization criterion.

Original language | English |
---|---|

Pages (from-to) | 33-36 |

Number of pages | 4 |

Journal | Russian Physics Journal |

Volume | 39 |

Issue number | 1 |

Publication status | Published - 1996 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Quantum mechanics in the k-field formalism : the quantization problem.** / Korotchenko, K. B.

Research output: Contribution to journal › Article

*Russian Physics Journal*, vol. 39, no. 1, pp. 33-36.

}

TY - JOUR

T1 - Quantum mechanics in the k-field formalism

T2 - the quantization problem

AU - Korotchenko, K. B.

PY - 1996

Y1 - 1996

N2 - A system of two equations is examined in this work: the K-field equation (geometric analogue of the Schrödinger equation) and an additional equation that provides uniqueness of the solution of the K-fleld equation (the K-motion equation). It is shown that this system allows one to take Lyapunov stability of the solutions of the K-motion equations as the quantization criterion.

AB - A system of two equations is examined in this work: the K-field equation (geometric analogue of the Schrödinger equation) and an additional equation that provides uniqueness of the solution of the K-fleld equation (the K-motion equation). It is shown that this system allows one to take Lyapunov stability of the solutions of the K-motion equations as the quantization criterion.

UR - http://www.scopus.com/inward/record.url?scp=34848829459&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34848829459&partnerID=8YFLogxK

M3 - Article

VL - 39

SP - 33

EP - 36

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 1

ER -