Mathematical Foundations of Quantum Statistical Mechanics
Home > Mathematics and Science Textbooks > Science: general issues > Maths for scientists > Mathematical Foundations of Quantum Statistical Mechanics: Continuous Systems(17 Mathematical Physics Studies)
Mathematical Foundations of Quantum Statistical Mechanics: Continuous Systems(17 Mathematical Physics Studies)

Mathematical Foundations of Quantum Statistical Mechanics: Continuous Systems(17 Mathematical Physics Studies)

|
     0     
5
4
3
2
1




International Edition


About the Book

This monograph is devoted to quantum statistical mechanics. It can be regarded as a continuation of the book "Mathematical Foundations of Classical Statistical Mechanics. Continuous Systems" (Gordon & Breach SP, 1989) written together with my colleagues V. I. Gerasimenko and P. V. Malyshev. Taken together, these books give a complete pre­ sentation of the statistical mechanics of continuous systems, both quantum and classical, from the common point of view. Both books have similar contents. They deal with the investigation of states of in­ finite systems, which are described by infinite sequences of statistical operators (reduced density matrices) or Green's functions in the quantum case and by infinite sequences of distribution functions in the classical case. The equations of state and their solutions are the main object of investigation in these books. For infinite systems, the solutions of the equations of state are constructed by using the thermodynamic limit procedure, accord­ ing to which we first find a solution for a system of finitely many particles and then let the number of particles and the volume of a region tend to infinity keeping the density of particles constant. However, the style of presentation in these books is quite different.

Table of Contents:
1. Evolution of States of Quantum Systems of Finitely Many Particles.- 1. Principal Concepts of Quantum Mechanics.- 2. Evolution of States of Quantum Systems with Arbitrarily Many Particles.- 3. Evolution of States in the Heisenberg Representation and in the Interaction Representation.- Mathematical Supplement I.- References.- 2. Evolution of States of Infinite Quantum Systems.- 4. Bogolyubov Equations for Statistical Operators.- 5. Solution of the Bogolyubov Equations.- 6. Gibbs Distributions.- Mathematical Supplement II.- Mathematical Supplement III.- 3. Thermodynamic Limit.- 7. Thermodynamic Limit for Statistical Operators.- 8. Statistical Operators in the Case of Quantum Statistics.- 9. Bogolyubov’s Principle of Weakening of Correlations.- Mathematical Supplement IV.- References.- 4. Mathematical Problems in the Theory of Superconductivity.- 10. Fröhlich Model.- 11. Bogolyubov’s Compensation Principle for “Dangerous” Diagrams. Compensation Equations.- 12. Bardeen-Cooper-Schrieffer (BCS) Hamiltonian.- 13. Microscopic Theory of Superfluidity.- Mathematical Supplement V.- 5. Green’s Functions.- 14. Green’s Functions. Equations for Green’s Functions.- 15. Investigation of the Equations for Green’s Functions in the Theory of Superconductivity and Superfluidity.- 16. Green’s Functions in the Thermodynamic Limit.- 6. Exactly Solvable Models.- 17. Description of the Hamiltonians of Model Systems.- 18. Functional Spaces of Translation-Invariant Functions.- 19. Model Hamiltonians in the Spaces of Translation Invariant Functions.- 20. Model BCS Hamiltonian in the Space hT. Equivalence of General and Model Hamiltonians in the Space of Pairs.- 21. Equations for Green’s Functions and Their Solutions.- Mathematical Supplement VI.- 7. Quasiaverages. Theorem onSingularities of Green’s Functions of 1/q2 -Type.- 22. Quasiaverages.- 23. Green’s Functions and Their Spectral Representations.- 24. Theorem on Singularities of Green’s Functions of 1/q2 -Type.


Best Sellers


Product Details
  • ISBN-13: 9780792332589
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Height: 235 mm
  • No of Pages: 445
  • Returnable: Y
  • Sub Title: Continuous Systems
  • ISBN-10: 079233258X
  • Publisher Date: 31 Jan 1995
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Series Title: 17 Mathematical Physics Studies
  • Width: 155 mm


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Mathematical Foundations of Quantum Statistical Mechanics: Continuous Systems(17 Mathematical Physics Studies)
Springer -
Mathematical Foundations of Quantum Statistical Mechanics: Continuous Systems(17 Mathematical Physics Studies)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Mathematical Foundations of Quantum Statistical Mechanics: Continuous Systems(17 Mathematical Physics Studies)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals

    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!