QM:020117The second-order SHO ground-energy truncation for V=g x^4 is 1/2+3g/4-21g^2/8, equaling 0.5309375 at g=0.05Quantum Mechanics 2 Harmonic X4 Matrix ElementsQuantum Mechanics 2 Rayleigh Schrodinger Ground SeriesPrivateLabels unavailablePrivate saving unavailableTime-independent perturbation theoryQuantum Mechanics II · Mixed reviewProgress not loaded
QM:020118The lower eigenvalue of [[0,g],[g,Delta]] is (Delta-sqrt(Delta^2+4g^2))/2 = -0.0297058540778354 at Delta=3, g=0.3Quantum Mechanics 2 Two Level Exact DiagonalizationQuantum Mechanics 2 Nondegenerate Series AuditPrivateLabels unavailablePrivate saving unavailableTime-independent perturbation theoryQuantum Mechanics II · Mixed reviewProgress not loaded
QM:020128H=Delta Sz+epsilon Sx on spin one has spectrum {0,±sqrt(Delta^2+eps^2)} and outer second-order ±eps^2/(2 Delta)Quantum Mechanics 2 Spin One Transverse DiagonalizationQuantum Mechanics 2 Nondegenerate Second Order ShiftPrivateLabels unavailablePrivate saving unavailableTime-independent perturbation theoryQuantum Mechanics II · Mixed reviewProgress not loaded
QM:020222A detuned Rabi drive with Ω=4 and Δ=3 has Ω_R=5, max P_e=16/25, and P_e(1)=0.229228100651768Quantum Mechanics Detuned Rabi FormulaQuantum Mechanics Generalized Rabi FrequencyPrivateLabels unavailablePrivate saving unavailableTime-dependent perturbations and transitionsQuantum Mechanics II · Mixed reviewProgress not loaded
QM:020223A sudden quench ω0→4ω0 has P_0=4/5, P_2=18/125, ⟨N_1⟩=9/16, and work 15ħω0/4Quantum Mechanics Sudden Oscillator QuenchQuantum Mechanics Squeezed Vacuum OccupationPrivateLabels unavailablePrivate saving unavailableTime-dependent perturbations and transitionsQuantum Mechanics II · Mixed reviewProgress not loaded
QM:020224The Landau–Zener sweep with Δ=1/5 and v=1/2 has P_D=0.604922562764271 and transfer 0.395077437235729Quantum Mechanics Landau Zener DiabaticQuantum Mechanics Adiabatic Sweep LimitsPrivateLabels unavailablePrivate saving unavailableTime-dependent perturbations and transitionsQuantum Mechanics II · Mixed reviewProgress not loaded
QM:020229One loop of H=-(hbar omega0/2) n(t)·σ at theta=pi/3 has Berry -pi/2 and total 39pi/2Quantum Mechanics 2 Spin Half Berry HolonomyQuantum Mechanics 2 Adiabatic Dynamical Phase LedgerPrivateLabels unavailablePrivate saving unavailableTime-dependent perturbations and transitionsQuantum Mechanics II · Mixed reviewProgress not loaded
QM:020231U=exp(-i(pi/4)σz) exp(-i(pi/6)σx) has tr=sqrt(6)/2, φ=arccos(sqrt(6)/4), P1=1/4 and P2=3/8Quantum Mechanics 2 Two Kick Su2 FloquetQuantum Mechanics 2 Stroboscopic Transition QuasienergyPrivateLabels unavailablePrivate saving unavailableTime-dependent perturbations and transitionsQuantum Mechanics II · Mixed reviewProgress not loaded
QM:020319Lanczos from e1 on [[2,1,0],[1,3,1],[0,1,4]] yields T2=[[2,1],[1,3]] and lower Ritz (5-sqrt(5))/2Quantum Mechanics 2 Lanczos TridiagonalizationQuantum Mechanics 2 Krylov Ritz ResidualPrivateLabels unavailablePrivate saving unavailableVariational and semiclassical methodsQuantum Mechanics II · Mixed reviewProgress not loaded
QM:020420Yukawa Born scattering with m=hbar=k=1, mu=2, V0=0.1 has f(0)=-1/20 and total cross section pi/200Quantum Mechanics 2 Born Fourier YukawaQuantum Mechanics 2 Born Differential Total Cross SectionPrivateLabels unavailablePrivate saving unavailableScattering theoryQuantum Mechanics II · Mixed reviewProgress not loaded
QM:020521Two bosons on the Hubbard dimer at U=3, J=1 have energies -1, 3, 4 and ground double occupancy 1/5View access optionsQuantum Mechanics 2 Boson Hubbard Fock MatrixQuantum Mechanics 2 Dimer Double Occupancy HoppingPrivateLabels unavailablePrivate saving unavailableIdentical particles and second-quantized notationQuantum Mechanics II · Mixed reviewProgress not loaded
QM:020525The coherent state α=√3 e^{iπ/4} is Poissonian with ⟨N⟩=3, P_0=e^{-3}, and quadrature product 1/4View access optionsQuantum Mechanics Coherent Poisson StatisticsQuantum Mechanics Coherent Quadrature MomentsPrivateLabels unavailablePrivate saving unavailableIdentical particles and second-quantized notationQuantum Mechanics II · Mixed reviewProgress not loaded
QM:020626The thermal oscillator at βħω=ln3 has p_0=2/3, ⟨N⟩=1/2, purity 1/2, and entropy 1.377443751081734 bitsView access optionsQuantum Mechanics Thermal Geometric OccupationQuantum Mechanics Gibbs Purity EntropyPrivateLabels unavailablePrivate saving unavailableDensity operators and introductory open systemsQuantum Mechanics II · Mixed reviewProgress not loaded
QM:020627Equal-prior Helstrom of |0> versus cos(pi/6)|0>+sin(pi/6)|1> has Psucc=3/4View access optionsQuantum Mechanics 2 Helstrom Binary HypothesisQuantum Mechanics 2 Unambiguous Discrimination OverlapPrivateLabels unavailablePrivate saving unavailableDensity operators and introductory open systemsQuantum Mechanics II · Mixed reviewProgress not loaded
QM:020630The qutrit depolarizer at p=3/4 sends a pure state to spectrum (1/2,1/4,1/4) with purity 3/8View access optionsQuantum Mechanics 2 Qutrit Kraus CptpQuantum Mechanics 2 Depolarized Spectrum EntropiesPrivateLabels unavailablePrivate saving unavailableDensity operators and introductory open systemsQuantum Mechanics II · Mixed reviewProgress not loaded