Short note: Hamiltonian for a particle with position-dependent mass
| Autor: | J. R. Morris |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Physics
Free particle 010308 nuclear & particles physics Nuclear Theory 01 natural sciences Position dependent Atomic and Molecular Physics and Optics Schrödinger equation symbols.namesake Classical mechanics 0103 physical sciences symbols 010306 general physics Hamiltonian (quantum mechanics) Mathematical Physics |
| Zdroj: | Quantum Studies: Mathematics and Foundations. 4:295-299 |
| ISSN: | 2196-5617 2196-5609 |
| Popis: | An approach for obtaining a Schrodinger equation for a spinless nonrelativistic particle with a position-dependent mass is proposed. Rather than starting with the nonrelativistic hamiltonian for a free particle, we begin with its relativistic completion in the form of a Klein–Gordon equation and then reduce it to obtain the nonrelativistic limit. This type of procedure avoids the usual ordering ambiguities that commonly arise in obtaining a Schrodinger equation for a particle with position-dependent mass. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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