Operator of Time and Generalized Schrödinger Equation
The equation describing the change of the state of the quantum system with respect to energy is introduced within the framework of the self-adjoint operator of time in nonrelativistic quantum mechanics. In this proposal, the operator of time appears to be the generator of the change of the energy, w...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/6290982 |
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| _version_ | 1832565407324569600 |
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| author | Slobodan Prvanović |
| author_facet | Slobodan Prvanović |
| author_sort | Slobodan Prvanović |
| collection | DOAJ |
| description | The equation describing the change of the state of the quantum system with respect to energy is introduced within the framework of the self-adjoint operator of time in nonrelativistic quantum mechanics. In this proposal, the operator of time appears to be the generator of the change of the energy, while the operator of energy that is conjugate to the operator of time generates the time evolution. Two examples, one with discrete time and the other with continuous one, are given and the generalization of Schrödinger equation is proposed. |
| format | Article |
| id | doaj-art-d4422280127449a3abeddacd52d36d89 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-d4422280127449a3abeddacd52d36d892025-02-03T01:07:59ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/62909826290982Operator of Time and Generalized Schrödinger EquationSlobodan Prvanović0Scientific Computing Laboratory, Center for the Study of Complex Systems, Institute of Physics Belgrade, University of Belgrade, Pregrevica 118, 11080 Belgrade, SerbiaThe equation describing the change of the state of the quantum system with respect to energy is introduced within the framework of the self-adjoint operator of time in nonrelativistic quantum mechanics. In this proposal, the operator of time appears to be the generator of the change of the energy, while the operator of energy that is conjugate to the operator of time generates the time evolution. Two examples, one with discrete time and the other with continuous one, are given and the generalization of Schrödinger equation is proposed.http://dx.doi.org/10.1155/2018/6290982 |
| spellingShingle | Slobodan Prvanović Operator of Time and Generalized Schrödinger Equation Advances in Mathematical Physics |
| title | Operator of Time and Generalized Schrödinger Equation |
| title_full | Operator of Time and Generalized Schrödinger Equation |
| title_fullStr | Operator of Time and Generalized Schrödinger Equation |
| title_full_unstemmed | Operator of Time and Generalized Schrödinger Equation |
| title_short | Operator of Time and Generalized Schrödinger Equation |
| title_sort | operator of time and generalized schrodinger equation |
| url | http://dx.doi.org/10.1155/2018/6290982 |
| work_keys_str_mv | AT slobodanprvanovic operatoroftimeandgeneralizedschrodingerequation |