Time dependent transformations in deformation quantization
We study the action of time dependent canonical and coordinate transformations in phase space quantum mechanics. We extend the covariant formulation of the theory by providing a formalism that is full...
We study the action of time dependent canonical and coordinate transformations in phase space quantum mechanics. We extend the covariant formulation of the theory by providing a formalism that is full...
Bound states in two spatial dimensions in the noncentral case
We derive a bound on the total number of negative energy bound states in a potential in two spatial dimensions by using an adaptation of the Schwinger method to derive the Birman–Schwinger bound ...
We derive a bound on the total number of negative energy bound states in a potential in two spatial dimensions by using an adaptation of the Schwinger method to derive the Birman–Schwinger bound ...
Contextual approach to quantum mechanics and the theory of the fundamental prespace
J. Math. Phys. 45, 902 (2004); doi:10.1063/1.1645650
Issue Date: March 2004
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We constructed a Hilbert space representation of a contextual Kolmogorov model. This representation is based on two fundamental observables—in the standard quantum model these are the position and momentum observables. This representation has all distinguishing features of the quantum model. Our representation is not standard model with hidden variables. In particular, this is not a reduction of the quantum model to the classical one. ©2004 American Institute of Physics.
| History: | Received 12 June 2003; accepted 10 December 2003 |
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REFERENCES (21)
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