Quantum dynamics with two Planck constants and the semiclassical limit

Diosi, Lajos

Quantum dynamics with two Planck constants and the semiclassical limit

Lajos Diosi
(
- Budapest, RMKI
)

Mar, 1995

9 pages

e-Print:

quant-ph/9503023 [quant-ph]

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Abstract: (arXiv)

The mathematical possibility of coupling two quantum dynamic systems having two different Planck constants, respectively, is investigated. It turns out that such canonical dynamics are always irreversible. Semiclassical dynamics is obtained by letting one of the two Planck constants go to zero. This semiclassical dynamics will preserve positivity, as expected, so an improvement of the earlier proposals by Aleksandrov and by Boucher and Traschen is achieved. Coupling of quantized matter to gravity is illustrated by a simplistic example.

Note:

9 pages, LaTex

quantum mechanics
approximation: semiclassical
Hamiltonian formalism
gravitation
coupling: matter
matter: coupling
fundamental constant

References(13)

Figures(0)

[1]

I.V. Aleksandrov

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[2]

Semiclassical Physics and Quantum Fluctuations

Wayne Boucher
(
- Chicago U., EFI and
- Cambridge U.
)
,
Jennie H. Traschen
(
- Chicago U., Astron. Astrophys. Ctr. and
- UC, Santa Barbara
)

- Phys.Rev.D 37 (1988) 3522
•
DOI:
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[3]

Comment on prime 'quantum back reaction on `classical' variables'

Lajos Diosi
(
- Budapest, RMKI
)

- Phys.Rev.Lett. 76 (1996) 4088
•
e-Print:
- quant-ph/9503003
•
DOI:
- 10.1103/PhysRevLett.76.4088

[4]

see, e.g

A.Peres

[5]

On the Generators of Quantum Dynamical Semigroups

Goran Lindblad
(
- Royal Inst. Tech., Stockholm
)

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- Commun.Math.Phys.48 (1976) 119-130 and Stockholm Royal Tech Inst - TRITA-TFY-75-1 (75,REC.MAR) 34p
•
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[6]

Properties of Quantum Markovian Master Equations

Vittorio Gorini
(
- Milan U. and
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)
,
Alberto Frigerio
(
- Milan U. and
- INFN, Milan
)
,
Maurizio Verri
(
- Milan U.
)
,
Andrzej Kossakowski
(
- Nicholas Copernicus U.
)
,
E.C.G. Sudarshan
(
- Texas U. and
- Bangalore, Indian Inst. Sci.
)

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•
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[7]

Mass distribution operator would take the form f(r) = P n Mnδ(r-qn) in case of pointlike consituents of masses Mn. In fact, the delta-functions are replaced by functions of finite widths according to the particle’s extensions

[8]