400
E. J. Brändas
The derivation has a logical framework
15 commensurate with a stochastic Poisson
point process engendering communication protocols for teleonomic evolution. The
theoretical analysis is not complicated, yet perhaps a bit extraordinary, if one simply respects non-Hermitian extensions of quantum mechanical methods and their
interpretation [37], see also [21, 38, 39].
3 Biology and Quantum Theory
In his formulation of the goals of quantum chemistry [26], Löwdin called specific
attention to quantum biology and the theory of life processes on the quantum molecular level [40]. The conception concerned the importance of mobile electrons, the role
of protons and the hydrogen bonds integrating transport phenomena related to transfer
of energy, momentum, charge etc. in living systems. Theoretical issues addressed the
treatment of statistical ensembles, density matrices, their evolution, the phase problem including irreversible processes in so-called random phase systems. However,
proton tunnelling exchanges, contingent upon the potential barrier in DNA suggesting spontaneous stability-error mechanisms in the genetic base sequence, could not
be accurately determined by the quantum chemical computational techniques at the
time. Recent advances are promising as quantum chemistry today is used in practically all branches of chemistry. Yet the universal origin of life forms in biology is not
settled by any means, requiring as already said a quantum-chemistry-life-principle.
16
Another fundamental shortcoming involves the quest for a realistic first principles formulation of the all-embracing sensitivity to temperature variations in physical
systems and particularly in biological organisations. The theory of density matrices,
established by Husimi in his doctoral thesis [41], included already in 1940, the reference to general Liouville formulations as Bloch’s equation
17 formally linking time
and temperature. In the following section we will generalize Bloch thermalization
to incorporate spatio-temporal evolution within a background of quantum-thermal
fluctuations and further to investigate the ensuing stochastic time evolution. This portrait elucidates the unitary decomposition of strong correlation effects in quantum
systems as derived by the Japanese chemist Fukashi Sasaki
18 [42]. Its importance
stems from the conceivable emergence of macroscopic quantum phenomena such as
those of superconductivity and superfluidity. The Sasaki formula gave an independent
proof and verification of Yang’s fundamental theory of Off-Diagonal Long-Range
15 The non-Hermitian extension permits higher order singularities affecting the time evolution of
the CES.
16 See e.g. Wiseman in [25].
17 Cf. the Koopman representation employed in the Prigogine sub-dynamics. For more details see
[29].
18 The original Technical Note, dated May 1, 1962, from the Uppsala Quantum Chemistry Group
is available on internet and authenticated as ASTIA DOCUMENT No: AD No. 296970. The story
behind the lost manuscript and the progress of ODLRO has been told at numerous occasions, see
[26] for more details.
E. J. Brändas
The derivation has a logical framework
15 commensurate with a stochastic Poisson
point process engendering communication protocols for teleonomic evolution. The
theoretical analysis is not complicated, yet perhaps a bit extraordinary, if one simply respects non-Hermitian extensions of quantum mechanical methods and their
interpretation [37], see also [21, 38, 39].
3 Biology and Quantum Theory
In his formulation of the goals of quantum chemistry [26], Löwdin called specific
attention to quantum biology and the theory of life processes on the quantum molecular level [40]. The conception concerned the importance of mobile electrons, the role
of protons and the hydrogen bonds integrating transport phenomena related to transfer
of energy, momentum, charge etc. in living systems. Theoretical issues addressed the
treatment of statistical ensembles, density matrices, their evolution, the phase problem including irreversible processes in so-called random phase systems. However,
proton tunnelling exchanges, contingent upon the potential barrier in DNA suggesting spontaneous stability-error mechanisms in the genetic base sequence, could not
be accurately determined by the quantum chemical computational techniques at the
time. Recent advances are promising as quantum chemistry today is used in practically all branches of chemistry. Yet the universal origin of life forms in biology is not
settled by any means, requiring as already said a quantum-chemistry-life-principle.
16
Another fundamental shortcoming involves the quest for a realistic first principles formulation of the all-embracing sensitivity to temperature variations in physical
systems and particularly in biological organisations. The theory of density matrices,
established by Husimi in his doctoral thesis [41], included already in 1940, the reference to general Liouville formulations as Bloch’s equation
17 formally linking time
and temperature. In the following section we will generalize Bloch thermalization
to incorporate spatio-temporal evolution within a background of quantum-thermal
fluctuations and further to investigate the ensuing stochastic time evolution. This portrait elucidates the unitary decomposition of strong correlation effects in quantum
systems as derived by the Japanese chemist Fukashi Sasaki
18 [42]. Its importance
stems from the conceivable emergence of macroscopic quantum phenomena such as
those of superconductivity and superfluidity. The Sasaki formula gave an independent
proof and verification of Yang’s fundamental theory of Off-Diagonal Long-Range
15 The non-Hermitian extension permits higher order singularities affecting the time evolution of
the CES.
16 See e.g. Wiseman in [25].
17 Cf. the Koopman representation employed in the Prigogine sub-dynamics. For more details see
[29].
18 The original Technical Note, dated May 1, 1962, from the Uppsala Quantum Chemistry Group
is available on internet and authenticated as ASTIA DOCUMENT No: AD No. 296970. The story
behind the lost manuscript and the progress of ODLRO has been told at numerous occasions, see
[26] for more details.