What is classical and statistical thermodynamics?

Classical thermodynamics concerns the relationships between bulk properties of matter. Statistical thermodynamics seeks to explain those bulk properties in terms of constituent atoms. The statistical part treats the aggregation of atoms, not the behavior of any individual atom.

What is conserved in quantum mechanics?

A conserved quantity in quantum mechanics can be defined as one for which the prob- abilities of measuring the various eigenvalues for that quantity are independent of time in all states. Mathematically conserved quantities correspond to Hermitian operators O satisfying [H,O]=0 .

What is the limitation of classical thermodynamics?

The limitation is that classical thermodynamics cannot explain why a property has the value it does, nor can it provide a convincing physical explanation for the various mathematical relationships. This missing part is provided by statistical thermodynamics.

What does it mean for a quantity to be conserved physics?

In physics, the term conservation refers to something which doesn’t change. This means that the variable in an equation which represents a conserved quantity is constant over time. It has the same value both before and after an event. In mechanics, there are three fundamental quantities which are conserved.

What are the failure of classical mechanics?

Classical mechanics or Newtonian mechanics failed to explain the phenomenon like black body radiation, photoelectric effect, the temperature dependence of heat capacity of the substance.

What is statistical thermodynamics in quantum mechanics?

17.1 Quantum mechanics It is possible to base statistical thermodynamics on a purely classical theory of molecules, treating them as particles which are governed by Newton’s laws of motion. This is usually sufficient to account for much of high-temperature behavior, such as the equations of state of gases.

How does the conservation of entropy apply to quantum mechanics?

Quantum field theory works both forward and backward in time, so the conservation of entropy (or information) works both ways. If quantum field theory is correct (as it so far seems to be) then information, in the abstract, is neither created nor destroyed.

Is information created or destroyed by quantum mechanics?

If quantum field theory is correct (as it so far seems to be) then information, in the abstract, is neither created nor destroyed. Pure states remain pure states. A probabilistic combination of pure states keeps the same set of probabilities.

What is the best book to learn quantum theory?

Introduction to Quantum Theory:D. Park, 3rd Edition (McGraw-Hill, New York NY, 1992). Classical and Statistical Thermodynamics: A.S. Carter (Prentice-Hall, Upper Saddle River NJ, 2001). 1.3 Why Study Thermodynamics? In a nutshell, thermodynamics is the study of the internal motions of many-body systems.