|
| related topics |
| {operator, operators, space} |
| {observables, space, algebra} |
| {theory, mechanics, state} |
| {let, theorem, proof} |
| {equation, function, exp} |
| {vol, operators, histories} |
| {state, states, entangled} |
|
PT-Symmetric Quantum Mechanics: A Precise and Consistent Formulation
Ali Mostafazadeh
abstract: The physical condition that the expectation values of physical observables
are real quantities is used to give a precise formulation of PT-symmetric
quantum mechanics. A mathematically rigorous proof is given to establish the
physical equivalence of PT-symmetric and conventional quantum mechanics. The
results reported in this paper apply to arbitrary PT-symmetric Hamiltonians
with a real and discrete spectrum. They hold regardless of whether the boundary
conditions defining the spectrum of the Hamiltonian are given on the real line
or a complex contour.
- oai_identifier:
- oai:arXiv.org:quant-ph/0407213
- categories:
- quant-ph
- comments:
- 9 pages, to appear in Czech. J. Phys
- doi:
- 10.1023/B:CJOP.0000044014.54626.c8
- arxiv_id:
- quant-ph/0407213
- journal_ref:
- Czech J. Phys. 54 (2004) 1125-1133
- created:
- 2004-07-27
Full article ▸
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